rgrs Produce a point configuration given the edge lengths of the desired minimum spanning tree
rgrs( edges = NULL, d, n = NULL, theta = NULL, outlying = "N", skew = "N", stringy = "N" )
| edges | A numeric vector containing the desired edge lengths of the minimum spanning tree. If n is specified, must be NULL. |
|---|---|
| d | the dimension of the resulting configuration. |
| n | the desired number of edge lengths to simulate. If edges is specified, must be set to NULL. |
| theta | Angle restriction during point proposal of the form (theta1,theta2,p), where p represents the probability of confining the proposal to [theta1,theta2]. Only used for d=2, otherwise NULL. See details for more in depth explanation. |
| outlying | One of "L", "M", or "H", specifying if the simulated edge lengths should have a Low, Medium, or High outlying scagnostic value. |
| skew | One of "L", "M", or "H", specifying if the simulated edge lengths should have a Low, Medium, or High skew scagnostic value. |
| stringy | One of "L", "M", or "H", specifying if the simulated edge lengths should have a Low, Medium, or High stringy scagnostic value. A numeric scalar specifying a value of stringy is also accepted. |
An nxd matrix containing the d-dimensional locations of the points.
In 2-dimensions, when a new point is proposed, the position for the new point is determined by:
x <- x0 + r*sin(theta) y <- y0 + r*cos(theta)
where (x0,y0) is the base point, and r is the minimum spanning tree distance. theta is generated from a uniform distribution on (-pi,pi). By specifying the theta argument, the proposed theta is restricted, and is then generated from Uniform(theta1,theta2) or Uniform(-theta2,-theta1) with equal probability. This restriction allows the user to introduce striation into their point configuration.
# \donttest{ # An example where edge lengths are supplied EL <- runif(100,0,1) rgrs(edges = EL, d = 2)#> [,1] [,2] #> 0.888490296 0.18794620 #> 1.240214597 -0.23471906 #> NewXn 0.893435102 0.50223437 #> NewXn 1.101243302 -1.20072766 #> NewXn 1.115695450 -1.21961863 #> NewXn 1.930673387 -1.23573488 #> NewXn 2.589700081 -1.86506541 #> NewXn 3.093997384 -2.15473972 #> NewXn 0.315757442 0.65747023 #> NewXn 0.286214502 0.73377860 #> NewXn 1.097776083 -1.23852971 #> NewXn 0.117021555 -0.20741116 #> NewXn -0.790263442 -0.23522044 #> NewXn 1.954128004 0.19250938 #> NewXn 4.006335828 -2.53304798 #> NewXn 2.199234546 -2.46301184 #> NewXn 3.409474692 -1.53727822 #> NewXn 0.184571604 0.71646447 #> NewXn -0.216576352 0.98899948 #> NewXn 0.034969077 1.43362811 #> NewXn 2.248779855 0.92993596 #> NewXn 0.771391874 1.33373073 #> NewXn -1.557964045 0.33074410 #> NewXn 2.007042878 -2.33296148 #> NewXn 4.121099590 -2.75094655 #> NewXn 3.337825671 -3.15184887 #> NewXn -1.900216098 0.80816284 #> NewXn 2.441428379 -0.33056691 #> NewXn -0.255818898 0.92645327 #> NewXn 4.052165157 -2.51385454 #> NewXn -2.027428885 1.19732055 #> NewXn 0.495539757 2.11430287 #> NewXn 3.384499141 -0.90978811 #> NewXn 1.966275808 -3.05208217 #> NewXn 2.362561943 0.87353712 #> NewXn -1.166688292 -1.13695161 #> NewXn 0.572844654 2.21569526 #> NewXn 4.967379454 -2.67624208 #> NewXn 2.676788490 0.01504836 #> NewXn -1.414568532 1.34274349 #> NewXn 1.075196781 1.26033599 #> NewXn -2.556577747 1.53992508 #> NewXn 0.564071509 2.24711825 #> NewXn 5.214344225 -2.07801689 #> NewXn 2.268882444 1.30430537 #> NewXn 0.582639825 2.24812708 #> NewXn 3.411630352 -0.80969690 #> NewXn -0.802533874 2.10877190 #> NewXn 1.939356343 1.29264234 #> NewXn 2.576214208 1.32604276 #> NewXn 1.965714341 -2.38806889 #> NewXn 3.853078926 -1.39192172 #> NewXn 4.079325444 -1.29098465 #> NewXn 2.832669628 2.04712743 #> NewXn -1.662984636 2.61002501 #> NewXn 1.539133022 -2.91689206 #> NewXn 1.902984205 2.37033364 #> NewXn 0.659359951 -1.05705815 #> NewXn 5.583185949 -1.48207442 #> NewXn -1.334474721 -1.20080836 #> NewXn 0.665215363 2.38729567 #> NewXn 5.342256736 -1.30764678 #> NewXn 0.663952108 -1.48325843 #> NewXn 3.449630498 1.58285597 #> NewXn 1.960716184 -2.38874867 #> NewXn 3.057105648 -3.81479998 #> NewXn 3.091768760 -4.46117016 #> NewXn 3.126627080 -5.07476296 #> NewXn 3.990355292 -1.15923622 #> NewXn -3.152244613 1.73868329 #> NewXn 0.776240207 3.35002345 #> NewXn 5.425493845 -2.19753645 #> NewXn 3.790514789 -3.82957770 #> NewXn 5.048539935 -0.88669596 #> NewXn -2.665219362 0.33091367 #> NewXn 3.154188668 -5.13429304 #> NewXn -2.931853605 2.21810869 #> NewXn 0.763409612 3.98861813 #> NewXn 5.058830173 -0.59452129 #> NewXn 0.593817073 -3.23459913 #> NewXn 0.189591746 4.28827713 #> NewXn 3.261196459 0.38765570 #> NewXn 5.572261339 -1.01607563 #> NewXn -1.096405398 -1.93512238 #> NewXn 1.252297748 3.19180174 #> NewXn 0.018418782 3.85169771 #> NewXn 2.697472186 1.27924429 #> NewXn 4.030605113 0.63140757 #> NewXn -0.960477905 3.81289890 #> NewXn 3.143455417 -5.25294519 #> NewXn 1.376317926 -2.21228592 #> NewXn 0.441151104 -1.90133464 #> NewXn 0.433241591 -3.97040602 #> NewXn 0.673258604 4.95708639 #> NewXn 3.323196156 -0.88138351 #> NewXn -0.351153650 1.03333903 #> NewXn -1.111448079 -1.94049779 #> NewXn 2.440490218 -4.36194709 #> NewXn -0.008263617 3.33935234 #> NewXn 1.216480273 5.22093644 #> NewXn 0.861305205 -4.52427950rgrs(edges = EL, d = 3)#> [,1] [,2] [,3] #> 0.347941806 0.983889129 0.35968590 #> -0.100495515 1.218436378 0.14463367 #> NewXn 0.343940339 0.818727037 0.62709379 #> NewXn -0.822000315 0.571321990 0.25934824 #> NewXn 0.359143280 0.823711159 0.64469386 #> NewXn 0.649218757 1.544154678 0.89221381 #> NewXn 0.567404057 1.028972168 -0.52359035 #> NewXn 1.132997965 1.162893416 -0.54348021 #> NewXn 1.166242478 1.660576310 -0.21330421 #> NewXn -0.825071891 0.492228420 0.23859915 #> NewXn 1.181016777 1.681882498 -0.21585349 #> NewXn 1.772603701 0.679688839 -0.21349643 #> NewXn 1.391632909 2.498101189 -0.55255412 #> NewXn 1.519337588 -0.023524463 -0.57893291 #> NewXn -1.415442981 0.596717532 -0.54627191 #> NewXn 0.007615335 1.763221388 1.11661991 #> NewXn 0.914144060 -0.064828080 -0.91481895 #> NewXn -1.460208175 0.503983461 -0.55151854 #> NewXn 1.013540357 0.862120199 -0.90467319 #> NewXn 0.518797209 0.474668562 0.29240203 #> NewXn -1.205044033 0.391422015 0.93130894 #> NewXn -1.676170106 0.209955255 0.38595762 #> NewXn 1.713826966 0.663628900 -1.52101720 #> NewXn 0.916398911 1.044929053 -1.00953117 #> NewXn 1.429868329 2.741379201 -0.55464461 #> NewXn 0.947007947 2.099457619 1.50638067 #> NewXn 1.463734689 3.278613754 -0.31949098 #> NewXn 0.759307652 3.156799788 -0.32328150 #> NewXn 0.746296534 3.193358711 -0.38609998 #> NewXn -1.218973524 0.434412317 0.95196127 #> NewXn 1.782320420 2.387802119 -0.49941092 #> NewXn 1.885817064 3.622213956 -0.93530658 #> NewXn 2.243335978 2.307913884 -0.08054322 #> NewXn 0.735830215 -0.314627987 -1.46896496 #> NewXn 0.339496991 0.761038574 0.75338315 #> NewXn -0.204369883 -0.257519953 0.32474540 #> NewXn -1.477231454 0.428881221 -0.65313706 #> NewXn -0.825455764 0.655096861 1.67183103 #> NewXn -1.751627448 -0.099862116 0.65644548 #> NewXn 1.442786307 -0.553204805 -0.91108390 #> NewXn 0.786493181 -0.184566182 -0.65587446 #> NewXn -0.003621876 0.388165213 1.12836485 #> NewXn -0.188947872 -0.281226728 0.30848124 #> NewXn 0.134450305 3.387080550 -0.30254751 #> NewXn 0.410676477 -0.268893347 -1.64990683 #> NewXn -0.013026874 0.372376851 1.13120628 #> NewXn 1.956845271 3.611410533 -1.01009049 #> NewXn -0.331471100 1.757298236 -0.64128244 #> NewXn -0.998813037 0.655885033 1.95231296 #> NewXn -0.234946673 1.992277670 -0.81561840 #> NewXn 1.777106450 0.656505533 -1.49475240 #> NewXn -1.041132452 0.454471798 2.37130580 #> NewXn 1.987903439 0.779511602 -0.14238231 #> NewXn 1.749557190 0.499043720 0.52985321 #> NewXn -0.984244035 1.358509240 2.78496049 #> NewXn 1.671527730 0.472270531 -1.92390685 #> NewXn 1.229566179 4.230760525 -0.23370709 #> NewXn 0.720427311 -0.499080854 -0.32028893 #> NewXn 1.447891717 0.674302784 -2.55664815 #> NewXn -0.910300558 1.432980249 2.93061900 #> NewXn -1.082775084 1.485345197 2.80473142 #> NewXn 0.508350371 -0.014072228 -1.53159414 #> NewXn 2.406608232 2.101055468 0.25444861 #> NewXn 1.199826995 1.640140652 -1.41150179 #> NewXn -1.081992002 1.490139769 2.80337402 #> NewXn 1.923077380 1.208467514 -2.64135077 #> NewXn -1.627862760 0.435753144 -1.28262807 #> NewXn -0.172078535 2.320545706 0.93004298 #> NewXn -0.141003317 1.743499740 1.16950555 #> NewXn -1.431898347 -0.002975312 -1.68690413 #> NewXn -2.370957444 0.818525426 -0.65529913 #> NewXn 1.033802827 4.363705630 -0.28729249 #> NewXn 1.923036405 -0.148246659 0.02071615 #> NewXn 2.417464276 3.602670088 -1.23641524 #> NewXn 0.546754132 1.333819649 -1.95248242 #> NewXn -0.195118151 -0.324389709 0.35749507 #> NewXn -1.464867620 0.896868055 0.88799492 #> NewXn 2.573173190 2.590256886 0.62982292 #> NewXn -2.533218694 0.983047124 -0.47620189 #> NewXn 2.934140616 2.836895779 -0.86065562 #> NewXn 2.077354768 -0.493688521 -0.79775631 #> NewXn 0.104112857 -0.436114342 -1.05122094 #> NewXn 2.713844288 1.968284346 0.09353345 #> NewXn 2.276483517 1.863605509 -2.43691889 #> NewXn 1.927068034 0.728470311 0.93914312 #> NewXn 1.537644836 1.604866365 0.07874236 #> NewXn 0.363669368 -0.365709200 -1.72278080 #> NewXn -0.777443485 1.490079814 3.72465508 #> NewXn -0.272432398 2.111464817 -1.78728363 #> NewXn 1.619948162 1.610279114 -0.00722508 #> NewXn -1.601164578 1.484952597 0.97877012 #> NewXn 3.009006753 2.302198051 0.25418452 #> NewXn 0.390236573 2.554471322 1.73035484 #> NewXn -1.321715862 1.648696603 2.02966111 #> NewXn -1.542651311 1.509912545 1.00153140 #> NewXn -0.335836538 1.690988450 -0.76642636 #> NewXn -0.200907254 -0.313557956 0.36770961 #> NewXn 1.699322567 2.482077386 0.24767231 #> NewXn 1.906082996 3.022606646 -0.27479123 #> NewXn 1.770861776 1.311645977 0.95371626 #> NewXn -0.950451112 -0.235715734 2.29760127# An Example where edge lengths are simulated internally rgrs(d=2, n=100)#> [,1] [,2] #> 0.07658199 0.69556192 #> 1.01587231 0.79509806 #> NewXn 0.07423902 0.68482333 #> NewXn 1.85790005 1.11129493 #> NewXn -0.32115519 0.42053363 #> NewXn -0.23457853 0.10217171 #> NewXn -0.62590356 -0.72255106 #> NewXn 2.43086807 1.88724338 #> NewXn 2.07009227 2.17765730 #> NewXn 1.10365706 0.51497217 #> NewXn 2.87686537 2.75718233 #> NewXn 2.76090518 1.58300515 #> NewXn 1.14222326 0.44942811 #> NewXn 1.56668230 2.65359907 #> NewXn 2.95697673 1.73974559 #> NewXn 0.70644512 3.09733676 #> NewXn 0.99704673 2.12859107 #> NewXn -0.78377327 0.20948496 #> NewXn 3.08265434 1.37990911 #> NewXn 0.98477181 1.94162249 #> NewXn -0.15666336 0.07015488 #> NewXn -0.29611290 0.96163244 #> NewXn -0.39122159 1.48713215 #> NewXn -0.91975495 0.91663161 #> NewXn 2.12719395 0.72809108 #> NewXn 1.67583434 -0.22549169 #> NewXn -1.66053542 1.18786181 #> NewXn 1.56796369 -0.97236475 #> NewXn 3.31855724 3.00572121 #> NewXn -0.68254229 -0.86256147 #> NewXn -1.54866231 -0.99364107 #> NewXn -0.58399758 -1.07094718 #> NewXn 3.81619955 0.92147374 #> NewXn 3.42045268 2.84989454 #> NewXn -2.10890268 1.60302723 #> NewXn -3.05979102 1.75655690 #> NewXn -0.53874599 -1.11330526 #> NewXn -2.03532220 -0.49713275 #> NewXn 2.07383254 -1.01273458 #> NewXn -2.18369207 0.55235427 #> NewXn 0.12773081 -1.33169247 #> NewXn -0.45988161 1.54612885 #> NewXn 2.17819713 -0.85820800 #> NewXn 3.85812035 0.76981070 #> NewXn 3.48490644 3.11037835 #> NewXn 1.46596610 -1.18737949 #> NewXn -2.86849437 2.62061939 #> NewXn 0.75945623 -0.38865903 #> NewXn -0.33770060 1.90353959 #> NewXn 0.50672191 3.05790238 #> NewXn 4.09810645 1.07269365 #> NewXn 3.36047377 3.47135962 #> NewXn 0.72962319 1.73888022 #> NewXn 1.18070868 0.48846404 #> NewXn -2.25787174 -0.47458654 #> NewXn -3.60037444 1.76649550 #> NewXn -3.03547331 0.33366226 #> NewXn 3.67568116 3.98547255 #> NewXn -2.36331416 -0.58101904 #> NewXn 4.06272957 3.85072297 #> NewXn 0.26074308 -1.99732823 #> NewXn 0.05613376 -2.45850997 #> NewXn 4.02218350 4.57192791 #> NewXn 0.92492228 -2.61026226 #> NewXn 2.87336620 -1.55409648 #> NewXn -4.40297077 1.44112638 #> NewXn 3.83919338 0.41144423 #> NewXn 3.81478411 0.26099215 #> NewXn -3.50446656 -0.17261139 #> NewXn -1.67234237 1.82234559 #> NewXn -1.63086341 2.21404005 #> NewXn 3.93602082 2.71143379 #> NewXn -2.92669094 -1.07809698 #> NewXn -1.05572010 2.67458351 #> NewXn -1.89996424 -0.38061455 #> NewXn 2.48759374 0.40520484 #> NewXn -1.80681330 -1.88818219 #> NewXn -1.70032826 -2.08880245 #> NewXn -3.08335340 0.38010740 #> NewXn 1.29481073 3.81672402 #> NewXn -0.54821599 2.95142008 #> NewXn 1.41298252 -3.31776468 #> NewXn 1.45641108 -1.79442731 #> NewXn -0.71288349 -1.45770198 #> NewXn 4.06341033 3.68880804 #> NewXn -4.46477582 -0.33189626 #> NewXn -3.20012946 0.66426794 #> NewXn -4.92788626 1.63128472 #> NewXn 1.47670627 4.38917246 #> NewXn 4.54792147 2.64281243 #> NewXn -3.83766439 2.55090162 #> NewXn 4.68107811 3.70205067 #> NewXn 4.82099399 4.13495399 #> NewXn 1.81351284 -4.03003531 #> NewXn 2.53137219 -0.62896753 #> NewXn -5.11467416 0.77053983 #> NewXn 3.62204407 -1.49097711 #> NewXn -5.44373599 0.62369567 #> NewXn 4.66056913 1.52781568 #> NewXn -1.04063348 0.17720626 #> NewXn 2.62627872 3.74882470rgrs(d=3, n=100)#> [,1] [,2] [,3] #> 0.75207419 0.141935270 0.86093220 #> 0.97611389 -0.439164824 0.96948647 #> NewXn 0.72353926 0.120612141 0.78694578 #> NewXn 0.50133852 0.520881315 0.69180166 #> NewXn 0.48602147 0.523946038 0.71360954 #> NewXn 0.24679408 -0.879097722 1.16378006 #> NewXn 0.34428452 0.891117236 0.85813888 #> NewXn 0.17855410 1.181173115 0.30467234 #> NewXn 0.50458216 1.582753667 0.06151042 #> NewXn 0.49551451 1.594983204 -0.14412371 #> NewXn 0.78516707 0.065256695 1.49068874 #> NewXn 0.08910622 2.233677091 0.51454663 #> NewXn 0.98907408 0.268045411 0.82376538 #> NewXn 1.57031542 -0.977380858 0.91444956 #> NewXn 1.29539829 2.151713894 0.12550758 #> NewXn 1.09872543 0.404184746 1.79741370 #> NewXn 2.15120775 -1.021029532 1.35977518 #> NewXn 1.51546701 -0.027031036 1.68533661 #> NewXn 0.43602862 0.493876002 0.66407328 #> NewXn 1.59890376 -1.013790476 0.80899271 #> NewXn 0.10078598 -1.178481193 1.01816905 #> NewXn 0.80910487 0.823374793 -0.68293808 #> NewXn 1.38545208 1.434567267 -0.94612113 #> NewXn 2.02443972 1.924892807 0.46467538 #> NewXn 1.75642740 2.975347548 0.35065928 #> NewXn 1.80724967 2.883903374 1.08321551 #> NewXn 0.22497644 0.999231201 0.97499400 #> NewXn 1.80522608 0.360066629 2.37684324 #> NewXn 1.65384622 0.242467951 2.64061057 #> NewXn 0.42506251 -1.185358986 1.37728351 #> NewXn 1.40493250 -0.957364182 1.72986491 #> NewXn 0.42686198 1.006622851 1.40374363 #> NewXn 1.82196854 0.569386854 2.29530509 #> NewXn 1.78988486 1.531001788 1.06242673 #> NewXn 2.25186556 0.688149772 1.31244362 #> NewXn 1.72838522 -0.496411372 0.59125774 #> NewXn -0.07288915 -0.841232235 2.05631293 #> NewXn 1.61482322 2.725302315 1.34076838 #> NewXn 0.91818686 0.618882447 2.30169273 #> NewXn 0.22393504 0.006262072 0.94090753 #> NewXn 0.12512107 -0.067616532 1.48850795 #> NewXn 1.82109053 1.166562147 0.52796606 #> NewXn -0.58314801 -1.513424723 1.91149918 #> NewXn 0.76661281 0.613116071 3.19828430 #> NewXn 2.30158341 -0.375596678 2.69863496 #> NewXn 0.38182989 1.655587425 1.89512115 #> NewXn 1.52319738 -1.096106541 0.82364091 #> NewXn 1.86034676 2.618360650 1.46075413 #> NewXn 0.75363329 0.058114116 0.40313395 #> NewXn 2.06647215 0.604055797 2.49711087 #> NewXn 0.53664527 0.029284654 3.41939596 #> NewXn -0.18223974 2.463885438 -0.19702806 #> NewXn 0.25249980 -1.164722991 0.85396119 #> NewXn 1.52228806 -1.153425689 0.55385619 #> NewXn 0.96120794 0.618152514 -0.60430888 #> NewXn -0.84157398 -1.408125044 1.92426427 #> NewXn 0.22638956 0.054201230 0.35998995 #> NewXn 2.35508137 -0.518808097 2.58023709 #> NewXn 1.84067929 -1.977419024 0.59924160 #> NewXn 1.47304323 -0.099679345 1.75073614 #> NewXn 1.57087319 0.882944925 3.36480885 #> NewXn 1.16869861 1.997737036 -1.05594706 #> NewXn -0.13708324 -0.014045307 0.47112143 #> NewXn 0.81129121 0.491811812 -1.12376836 #> NewXn 2.38920640 -0.259076380 2.81041828 #> NewXn 2.40386930 0.776816564 2.50305987 #> NewXn 2.06921721 0.960918857 -0.05676802 #> NewXn 0.85653523 1.031451709 2.35491038 #> NewXn 2.50310072 -0.626069596 3.12566647 #> NewXn 2.45698279 3.117142745 1.89171119 #> NewXn 2.26276575 0.257282109 0.26241925 #> NewXn 2.27881734 0.262273360 0.28247206 #> NewXn 2.35198579 -0.539726311 2.59500262 #> NewXn 2.41997528 -2.500008193 0.43109880 #> NewXn 0.21082507 0.627942228 1.45342972 #> NewXn 2.79913073 1.117317530 1.39483243 #> NewXn 2.84219734 0.888351387 2.77142538 #> NewXn 0.10080223 1.574237039 1.94692881 #> NewXn 2.38589997 3.392565979 1.92109647 #> NewXn 1.78597036 -2.097271517 1.19018266 #> NewXn 3.39065199 1.260984613 1.92578129 #> NewXn 2.97736063 -0.286104651 0.52555914 #> NewXn 0.16765222 -0.956978944 0.81576829 #> NewXn 1.47892920 1.175984924 0.54123443 #> NewXn -0.28644898 2.436788503 -0.20629668 #> NewXn 3.53005528 -0.034186838 -0.17703360 #> NewXn 1.84436745 3.009486316 0.24750311 #> NewXn 2.88822265 -1.146719754 3.03080237 #> NewXn 2.43385794 -2.572906217 0.38100066 #> NewXn 0.48849452 -0.286825227 -0.07108659 #> NewXn 2.64725727 -2.746370372 0.83172397 #> NewXn 0.33627609 2.538661270 -0.48647808 #> NewXn -0.05364823 1.237971622 0.03394326 #> NewXn 1.53251790 3.255428745 0.12028357 #> NewXn 2.24712010 0.858004255 -0.49150999 #> NewXn 2.96407970 0.382328792 2.13110206 #> NewXn 2.17202565 2.876381971 0.05381506 #> NewXn 1.03697147 -0.307355902 3.74222622 #> NewXn 2.41852757 -1.116464679 1.40794342 #> NewXn 0.81554381 1.043970334 2.31859893 #> NewXn 2.67881438 3.075957216 -0.17540908rgrs(d=2, n=100, outlying="H")#> [,1] [,2] #> 0.7038109 0.4246436 #> 0.6953310 0.4301854 #> NewXn 0.7053763 0.4253031 #> NewXn 0.8479552 1.4184697 #> NewXn 0.6750844 0.4230116 #> NewXn 0.6749875 0.4226885 #> NewXn 0.6697798 0.4280413 #> NewXn 0.8489060 1.4182796 #> NewXn 0.8304466 1.4411196 #> NewXn 0.6748410 0.4226414 #> NewXn 0.8536499 1.4210230 #> NewXn 0.8119078 1.4484298 #> NewXn 0.5663337 0.4242783 #> NewXn 0.8119077 1.4484298 #> NewXn 0.7050644 0.4257828 #> NewXn 0.8048607 1.4471616 #> NewXn 0.5663337 0.4242783 #> NewXn 0.6750845 0.4230115 #> NewXn 0.7942350 1.4426558 #> NewXn 0.6953005 0.4301770 #> NewXn 0.5657456 0.4244053 #> NewXn 0.8479554 1.4184694 #> NewXn 0.5661726 0.4233878 #> NewXn 0.5615884 0.4276912 #> NewXn 0.8077643 1.4634954 #> NewXn 0.8078479 1.4639376 #> NewXn 0.6738083 0.4055249 #> NewXn 0.6750415 0.4226894 #> NewXn 0.7052380 0.4259405 #> NewXn 0.8537713 1.4214897 #> NewXn 0.8496159 1.4504132 #> NewXn 0.8406771 1.4777053 #> NewXn 0.8129798 1.4661301 #> NewXn 0.4974115 0.3246712 #> NewXn 0.5501829 0.4403761 #> NewXn 0.8404580 1.4777614 #> NewXn 0.5656779 0.4243229 #> NewXn 0.6729777 0.4311793 #> NewXn 0.7050644 0.4257828 #> NewXn 0.8813443 1.4413757 #> NewXn 0.8095974 1.4417570 #> NewXn 0.7052158 0.4264010 #> NewXn 0.8076003 1.4639664 #> NewXn 0.7926251 1.4600601 #> NewXn 0.8096784 1.4414596 #> NewXn 0.7061888 0.4219683 #> NewXn 0.5502120 0.4404572 #> NewXn 0.5501829 0.4403761 #> NewXn 0.8098021 1.4413441 #> NewXn 0.6538677 0.3268152 #> NewXn 0.8540987 1.4210102 #> NewXn 0.8078471 1.4639374 #> NewXn 0.6388157 0.3185916 #> NewXn 0.7925678 1.4600707 #> NewXn 1.0265311 1.6406923 #> NewXn 0.8070792 1.4392617 #> NewXn 0.6500901 0.3007042 #> NewXn 0.7864577 1.4408073 #> NewXn 0.8399969 1.4791070 #> NewXn 0.4962869 0.3235572 #> NewXn 1.1246692 1.6866752 #> NewXn 1.1506403 1.6929299 #> NewXn 0.7925707 1.4600810 #> NewXn 0.8098335 1.4413009 #> NewXn 0.7804102 1.4396271 #> NewXn 0.8813455 1.4413757 #> NewXn 1.1524987 1.6642102 #> NewXn 1.2590947 1.7474421 #> NewXn 1.1521839 1.6550806 #> NewXn 0.8098927 1.4412200 #> NewXn 0.7636859 1.4419461 #> NewXn 0.5468463 0.4409223 #> NewXn 1.2960746 1.7729921 #> NewXn 0.8404564 1.4777649 #> NewXn 0.7099044 0.4200031 #> NewXn 0.7054638 0.4259980 #> NewXn 0.7925752 1.4600295 #> NewXn 0.6501233 0.3006717 #> NewXn 0.7050982 0.4271031 #> NewXn 1.1200799 1.6980234 #> NewXn 0.7119505 0.4205360 #> NewXn 1.0422856 2.1933616 #> NewXn 1.1135190 2.2556741 #> NewXn 0.8304466 1.4411196 #> NewXn 0.6296151 0.2469423 #> NewXn 0.4973085 0.3219038 #> NewXn 0.4830129 0.3195720 #> NewXn 0.6385078 0.3185566 #> NewXn 0.4828604 0.3198737 #> NewXn 1.1209563 2.2606055 #> NewXn 0.8075152 1.4645956 #> NewXn 0.7890655 1.4631048 #> NewXn 0.5468502 0.4411837 #> NewXn 0.6384111 0.3193465 #> NewXn 1.1521898 1.6550768 #> NewXn 1.1520035 1.6544825 #> NewXn 0.5468286 0.4409230 #> NewXn 0.4969234 0.4669108 #> NewXn 1.1219319 2.2608263 #> NewXn 1.1637714 1.5414734 #> NewXn 1.3086231 1.7671778rgrs(d=2, n=100, skew = "M")#> [,1] [,2] #> 0.45056883 0.08929805 #> 0.03141547 1.86026246 #> NewXn 0.66498012 -0.76994004 #> NewXn 2.21854659 -1.41121590 #> NewXn 2.11626276 -1.84924023 #> NewXn 2.64171233 -2.48743108 #> NewXn 0.31343889 -2.36877561 #> NewXn -0.37492459 -0.65524915 #> NewXn -1.63367632 2.99394360 #> NewXn -2.97010212 3.31403257 #> NewXn 3.36447024 0.51927966 #> NewXn 2.31632684 -4.95323234 #> NewXn -1.56920370 4.03652412 #> NewXn 3.54991857 1.06665363 #> NewXn 2.89547368 -5.27711986 #> NewXn 2.24488186 3.83154730 #> NewXn -3.98095021 3.76330160 #> NewXn 4.21390410 0.44212952 #> NewXn -4.21615121 2.58379085 #> NewXn 1.54934444 -5.08030863 #> NewXn -4.90313169 1.68129173 #> NewXn 2.33528282 4.96505052 #> NewXn -5.59705032 3.82317675 #> NewXn -6.19740164 3.13123065 #> NewXn 4.46703064 0.79339171 #> NewXn 5.28412465 0.03689850 #> NewXn 2.15939600 5.78448878 #> NewXn 1.19037627 -5.50948125 #> NewXn 0.46772682 -6.76697863 #> NewXn 3.55579668 4.33413809 #> NewXn 6.60313680 -0.18586401 #> NewXn -0.08201461 -9.08889030 #> NewXn 0.98724910 -10.22723306 #> NewXn 4.81033216 3.86732641 #> NewXn 8.45829753 2.43895192 #> NewXn 6.53777032 -0.68981141 #> NewXn 3.63960926 -2.67713868 #> NewXn -0.30376429 -10.90580844 #> NewXn 1.50746670 6.27299724 #> NewXn -0.39495092 -2.43314301 #> NewXn -5.84579158 0.63641616 #> NewXn -1.05013250 -0.65560483 #> NewXn -6.46448681 0.31398574 #> NewXn -0.74545404 -3.09355242 #> NewXn 2.16400432 -11.68258475 #> NewXn 3.89718571 -2.63302807 #> NewXn -1.48179073 9.02695849 #> NewXn 3.94536831 -10.50955851 #> NewXn 5.44737448 -10.61194441 #> NewXn -1.46023715 10.48429783 #> NewXn 2.05953168 -5.80032599 #> NewXn -6.39509755 1.45788896 #> NewXn -7.65405709 0.85509960 #> NewXn -7.16093759 -1.88187119 #> NewXn 11.73523840 2.28033928 #> NewXn -0.39540129 -12.44181169 #> NewXn -1.39565226 -2.55518090 #> NewXn -2.72107898 -7.34572999 #> NewXn -0.22614858 -13.99896633 #> NewXn -1.75902993 -14.20935183 #> NewXn -3.39130627 4.98818252 #> NewXn 3.17216563 -5.97760408 #> NewXn 5.49307671 4.08447214 #> NewXn 4.98084912 -5.02462832 #> NewXn -4.06354217 0.44183082 #> NewXn 5.42794109 4.24966023 #> NewXn 12.14033803 3.56705961 #> NewXn -6.65980530 -3.13686063 #> NewXn 12.55974873 4.94163948 #> NewXn -2.30137916 1.51776084 #> NewXn 10.30577608 5.57758910 #> NewXn 6.96490578 -6.88744342 #> NewXn -1.54992883 -16.37920861 #> NewXn 13.57892787 5.71023148 #> NewXn -9.10946639 -1.51884858 #> NewXn 13.93197021 5.37448804 #> NewXn -10.73223143 0.04820642 #> NewXn 2.33673099 -7.79368033 #> NewXn 7.69165736 -8.98365292 #> NewXn 7.81230168 -6.69311594 #> NewXn -1.45083320 -17.43334079 #> NewXn 6.47834105 -1.37582305 #> NewXn 4.18906690 8.24662119 #> NewXn -10.03820595 -4.43475045 #> NewXn -2.47685021 -13.97988282 #> NewXn 12.77236812 1.64081350 #> NewXn -9.62679500 -5.08384919 #> NewXn -4.79720773 -2.29976043 #> NewXn -3.48563451 -13.00167068 #> NewXn 14.58547001 5.85013302 #> NewXn -2.71994643 -6.86497830 #> NewXn -1.82575062 -0.74961368 #> NewXn 12.71131527 -0.08027650 #> NewXn 0.25125835 -13.97778608 #> NewXn 15.43095731 5.16989447 #> NewXn 7.06697773 -2.21081632 #> NewXn -6.32680295 4.32765490 #> NewXn -1.48389874 11.57875912 #> NewXn 5.42334705 9.40922336 #> NewXn -3.78786484 11.03618783 #> NewXn 0.64073653 -13.65842981rgrs(d=2, n=100, stringy = "H")#> [,1] [,2] #> 0.47088818 0.68210089 #> 0.76648398 0.84996401 #> NewXn 1.13235024 0.92045436 #> NewXn -0.03884172 0.75906402 #> NewXn -0.22248915 0.25020619 #> NewXn 1.14507420 0.78982924 #> NewXn -0.23117911 0.25325809 #> NewXn 1.84400594 0.40370613 #> NewXn 1.98341892 0.29821710 #> NewXn -0.42525108 -0.08579356 #> NewXn 1.80023562 -0.06091845 #> NewXn 1.95828006 -0.11596219 #> NewXn -0.50633651 -0.69016710 #> NewXn 2.33054802 -0.95033827 #> NewXn -1.10324443 -1.45226273 #> NewXn -1.67749096 -1.40290013 #> NewXn 2.31415092 -1.01339763 #> NewXn -1.88510031 -1.72563733 #> NewXn -2.10929722 -2.34440077 #> NewXn 1.91002961 -1.39899265 #> NewXn -2.64404403 -3.10947630 #> NewXn -2.55933251 -3.95511554 #> NewXn -1.95911018 -4.72643042 #> NewXn 1.64617103 -1.75808186 #> NewXn -2.67594713 -5.23219996 #> NewXn 1.49099050 -1.76040225 #> NewXn -2.73566989 -5.29441172 #> NewXn 1.26998250 -2.65720666 #> NewXn -2.49373122 -5.55544273 #> NewXn -2.40659493 -5.77914495 #> NewXn 1.46701037 -3.22379959 #> NewXn 0.79123319 -3.68477314 #> NewXn -1.53256359 -5.73421893 #> NewXn -1.11570238 -5.13876634 #> NewXn 1.42482780 -4.34135840 #> NewXn -0.31852837 -5.41050769 #> NewXn 1.99223316 -4.03579488 #> NewXn 0.48913682 -5.38264100 #> NewXn 2.55456943 -4.11757592 #> NewXn 0.70862674 -5.44399898 #> NewXn 0.76425195 -5.23276543 #> NewXn 2.80242236 -3.25799906 #> NewXn 2.85701794 -3.26019521 #> NewXn 3.52918050 -2.56310524 #> NewXn 3.30813734 -2.38874691 #> NewXn 0.68276242 -5.02390760 #> NewXn 3.17140715 -2.15615698 #> NewXn 3.39322424 -1.55982004 #> NewXn 0.27657614 -4.72528707 #> NewXn 3.88931822 -1.35403392 #> NewXn 3.43183202 -0.67658701 #> NewXn 3.27919835 -0.35211824 #> NewXn 3.14917632 0.46242039 #> NewXn -0.03113235 -4.36554828 #> NewXn 3.98836539 0.89746587 #> NewXn -0.87257135 -4.21324645 #> NewXn 4.88617050 0.95772902 #> NewXn 5.49534321 0.91318387 #> NewXn -1.38537227 -3.62535708 #> NewXn 6.32428038 1.32557317 #> NewXn 6.60715090 1.83977275 #> NewXn 6.76115024 2.60708724 #> NewXn 7.02978814 3.37613684 #> NewXn 7.51588200 3.49408216 #> NewXn -1.43357738 -3.32025236 #> NewXn -1.00816788 -3.37575054 #> NewXn -0.66048432 -2.85191786 #> NewXn -0.57585301 -2.87098240 #> NewXn 7.84882508 2.93958242 #> NewXn 7.90108757 2.31953860 #> NewXn -0.36613823 -2.21029953 #> NewXn 8.09762706 1.41598394 #> NewXn 8.08754874 1.21181391 #> NewXn 7.29244137 1.03404046 #> NewXn 7.22886678 0.80394566 #> NewXn 0.48371421 -1.73730228 #> NewXn 6.57540068 0.39069422 #> NewXn 0.84524433 -0.82701186 #> NewXn 5.96020953 0.08744139 #> NewXn 0.93321876 -0.72752480 #> NewXn 5.61346754 -0.18371965 #> NewXn 6.19185862 -0.57366575 #> NewXn 0.79048033 -0.46908974 #> NewXn 0.74573867 -0.34906686 #> NewXn 6.84835489 -0.66697634 #> NewXn 7.02586282 -0.33341756 #> NewXn 7.62238151 -0.81275170 #> NewXn 8.34446538 -1.04241066 #> NewXn 8.37223752 -1.05567523 #> NewXn 0.83464579 -0.25425934 #> NewXn 8.37719142 -1.05491018 #> NewXn 8.44863560 -1.23526937 #> NewXn 8.80465813 -2.13577912 #> NewXn 9.21476638 -2.49862299 #> NewXn 8.59300401 -2.98349972 #> NewXn 8.81019337 -3.30817613 #> NewXn 8.65172034 -3.54690950 #> NewXn 8.43256830 -3.71541878 #> NewXn 0.72427884 -5.48956876 #> NewXn -1.99799452 -0.89896878 #> NewXn -2.93648508 -5.21744885#> [,1] [,2] #> 0.57857482 0.87069059 #> 0.50167305 0.77608673 #> NewXn 0.93265119 1.22954200 #> NewXn 1.15453274 1.54702452 #> NewXn 1.52570057 2.24862574 #> NewXn 0.38378672 0.62116999 #> NewXn 0.04519500 0.17087541 #> NewXn 1.80101885 1.12727087 #> NewXn 1.39519198 2.57027481 #> NewXn 0.68053843 2.10580838 #> NewXn 1.87542061 1.20941907 #> NewXn 0.18550150 1.39508161 #> NewXn 1.59873191 2.82244910 #> NewXn -0.38141307 -0.36365835 #> NewXn -0.40536941 -0.34991314 #> NewXn -0.64558182 -0.66803632 #> NewXn 1.58393079 0.28818931 #> NewXn 1.06334014 -0.51097876 #> NewXn 0.63207954 -1.14546159 #> NewXn 1.41566166 2.90697292 #> NewXn 2.33552550 1.86391219 #> NewXn 2.45761874 2.01521852 #> NewXn -0.84753624 -0.94096748 #> NewXn 0.51570132 2.16960377 #> NewXn -1.81813086 -0.77324733 #> NewXn -1.74031785 0.07222848 #> NewXn -1.22241640 0.62371219 #> NewXn -1.19996261 0.65129071 #> NewXn -1.24128560 0.69298567 #> NewXn 1.40770426 -1.24983371 #> NewXn 1.61416436 3.24221792 #> NewXn -1.95286907 -0.94690271 #> NewXn -0.82697383 1.39501033 #> NewXn -2.17503408 -1.19629803 #> NewXn -0.14800220 2.58183944 #> NewXn 3.35663265 1.91118393 #> NewXn 2.22606360 -0.97609070 #> NewXn 0.02247438 -1.84332519 #> NewXn 1.40909505 2.90034111 #> NewXn 1.20132032 3.04856639 #> NewXn -2.53940532 -1.04794228 #> NewXn 1.08617483 3.10060568 #> NewXn 1.66387936 3.21527972 #> NewXn -0.34279830 2.28010517 #> NewXn 2.35295161 -0.82589419 #> NewXn 3.84188664 2.66594627 #> NewXn 2.42281956 -0.71029249 #> NewXn -2.91851313 -1.68422294 #> NewXn -2.87672109 -1.82067502 #> NewXn 1.04624026 3.74401676 #> NewXn 2.15257697 -0.49344447 #> NewXn 2.75116653 1.01519007 #> NewXn -0.70988168 2.74365069 #> NewXn -2.35096190 0.03571481 #> NewXn -0.49385814 -2.60419717 #> NewXn -3.18446510 -1.94368610 #> NewXn 2.93935393 2.73237215 #> NewXn 1.29173746 4.28544233 #> NewXn 3.96229477 2.80985818 #> NewXn 1.51354349 -1.56993789 #> NewXn -3.11819677 -2.21863775 #> NewXn -1.05267692 2.71484175 #> NewXn -3.53712424 -2.63297284 #> NewXn -0.79689621 3.18886651 #> NewXn -1.51625920 3.81071627 #> NewXn 2.51149079 -0.04263143 #> NewXn 1.67047071 4.72812052 #> NewXn -1.87892257 3.43386188 #> NewXn 2.86051515 1.13385362 #> NewXn -0.85933048 -3.15178499 #> NewXn -3.05164138 -3.27023331 #> NewXn -0.25953237 3.76318913 #> NewXn -1.07361556 -2.16853534 #> NewXn -1.19544790 4.35982945 #> NewXn 4.11136283 3.06554507 #> NewXn 1.21848449 -1.87856363 #> NewXn 1.59789593 2.28372485 #> NewXn 2.61494282 -0.92003703 #> NewXn -0.88038370 4.90308119 #> NewXn 0.91227845 4.61391906 #> NewXn 1.01698862 4.75498823 #> NewXn 0.75822881 -2.54000775 #> NewXn -1.58914212 -2.69396870 #> NewXn 1.46021129 -3.06816012 #> NewXn 1.54216271 -1.59590439 #> NewXn -0.85963252 4.93638559 #> NewXn -2.04898196 0.75847870 #> NewXn -0.49860394 5.48400306 #> NewXn -1.90550225 3.32422622 #> NewXn 1.58126042 -2.17613834 #> NewXn -2.68174237 -2.90949861 #> NewXn -2.11436537 4.43366414 #> NewXn -0.27481719 5.52923076 #> NewXn 1.59444488 3.29481274 #> NewXn 4.25962390 2.99090909 #> NewXn 2.01625361 5.09175367 #> NewXn -1.06524569 -3.47964930 #> NewXn 0.05991361 4.30818622 #> NewXn 1.04576480 -3.70696961 #> NewXn -1.73847868 -3.48187247 #> NewXn -0.46162702 -4.08018049# }