[R] persp() problem

Duncan Murdoch murdoch at stats.uwo.ca
Wed Dec 13 16:01:36 CET 2006


On 12/13/2006 9:57 AM, Michael Sun wrote:
> Dear Duncan,
> Thank you very much for your quick reply. The comands below really worked
> testx <- seq(min(u1data), max(u1data), len=100)
> testy <- seq(min(u2data), max(u2data), len=100)
> 
> And you are right, I do need my observed data.
>  can trans3d plot all my observed data?

No, trans3d just transforms the observed points to the appropriate 
coordinates in the 2d plot from persp.  You'll need to use points() or 
some other function to actually do the plotting.

One limitation of the algorithm used by persp (the painter's algorithm) 
is that it only works when things are drawn in a certain order.  You may 
find that you'll get errors (points that should be hidden showing up) 
using this approach.  If that's a problem, you might want to switch to 
using persp3d and points3d from the rgl package.

Duncan Murdoch


> 
> Thank you
> Best regards
> Mc
> 
> On 12/13/06, Duncan Murdoch <murdoch at stats.uwo.ca> wrote:
>>
>> On 12/13/2006 6:19 AM, Michael Sun wrote:
>> > Dear list,
>> >
>> > I have a problem on persp()
>> >
>> > x <- u1data #first coloum in attached data
>> > y <- u2data #second coloum in attached data
>> > f <-
>> function(x,y){qgev(pnorm(rhoF*qnorm(pnorm((qnorm(y)-rho2*qnorm(x)/sqrt(1-rho2^2))))
>> >                    +sqrt(1-rhoF^2)*qnorm(0.95)),-0.3935119, 0.4227890,
>> >  0.2701648)}
>> > z <- outer(x,y,f)
>> > persp(x,y,z)
>> >
>> > The R will display:
>> > "Error in persp.default(x, y, z) : increasing 'x' and 'y' values
>> expected"
>> >
>> > So I try to adjust it to:
>> >
>> > testx <- unique(sort(u1data))
>> > testy <- unique(u2data[order(u1data)])
>>
>> This doesn't make sense for persp. It wants the x and y values to be
>> increasing over their range, and looks best with equally spaced values.
>>
>> You are more likely to want something like
>>
>> testx <- seq(min(u1data), max(u1data), len=100)
>> testy <- seq(min(u2data), max(u2data), len=100)
>>
>> If you want to plot points where you observed data, you can use
>> the trans3d function, as in the persp examples.
>>
>> Duncan Murdoch
>>
>> > testf <-
>> function(testx,testy){qgev(pnorm(rhoF*qnorm(pnorm((qnorm(testy)-rho2*qnorm(testx)/sqrt(1-rho2^2))))
>> >
>> > +sqrt(1-rhoF^2)*qnorm(0.95)),-0.3935119, 0.4227890,  0.2701648)}
>> > testz <- unique(outer(testx,testy,testf)[order(u1data)])
>> >
>> > BUT SAME WARN:
>> >
>> > "Error in persp.default(testx, testy, testz) :
>> >         increasing 'x' and 'y' values expected "
>> >
>> > So how can I use persp in this situation?????? Thanks for any help!
>> >
>> > ========================================================
>> > Besides that I also want to enquiry on how to build the martix below?
>> >
>> >     [,1] [,2] [,3] [,4] [,5].......[,676]
>> >  [1,]  1   NA   NA   NA   NA
>> >  [2,]  NA   5   NA   NA   NA
>> >  [3,]  NA   NA   7   NA   NA
>> >  [4,]  NA   NA   NA   9   NA
>> >  [5,]  NA   NA   NA   NA  12
>> >   .    .
>> >   .    .
>> >   .
>> >  [676,]
>> >
>> > Appreciate for any reply.
>> >
>> > Thank you,
>> >
>> > With regards
>> > Mc
>> >
>> >
>> > ------------------------------------------------------------------------
>> >
>> > 0.3102202 0.6118165 0.898893
>> > 0.1153732 0.889533 0.9403834
>> > 0.1939559 0.008136975 0.752973
>> > 0.9999848 0.8709167 0.9363419
>> > 0.7327573 0.5331876 0.889305
>> > 0.142052 0.7996472 0.9241059
>> > 0.5789939 0.6572769 0.904507
>> > 0.7628466 0.7408237 0.9154523
>> > 0.8063378 0.8264442 0.928366
>> > 0.3868742 0.8406373 0.9308378
>> > 0.1201804 0.5251654 0.8883977
>> > 0.1073146 0.5495656 0.8913543
>> > 0.3801476 0.4933598 0.8844978
>> > 0.1704377 0.3456871 0.8655715
>> > 0.5100424 0.6447163 0.9029398
>> > 0.1004252 0.6747806 0.9067755
>> > 0.4969747 0.2788576 0.855801
>> > 0.9503927 0.4357328 0.877291
>> > 0.7038206 0.1551265 0.833016
>> > 0.4496465 0.2228675 0.8465589
>> > 0.3152238 0.4508357 0.8792615
>> > 0.8595227 0.1699521 0.8362594
>> > 0.8781077 0.442257 0.8781285
>> > 0.9926326 0.4477713 0.8787715
>> > 0.5001015 0.4227189 0.8757058
>> > 0.7418432 0.2242488 0.8467729
>> > 0.8401202 0.4881974 0.8838192
>> > 0.3141832 0.5075416 0.886233
>> > 0.9387748 0.76381 0.9186662
>> > 0.5421865 0.7493546 0.9166607
>> > 0.6063368 0.4569826 0.8799987
>> > 0.07328759 0.5085049 0.8863852
>> > 0.3523433 0.239639 0.8494759
>> > 0.2143498 0.1904935 0.8405416
>> > 0.0043028 0.2351062 0.8487917
>> > 0.2200048 0.525856 0.888467
>> > 0.929427 0.7432261 0.91576
>> > 0.4657704 0.02713088 0.781553
>> > 0.4974512 0.1951512 0.8414202
>> > 0.3032740 0.6642617 0.9054128
>> > 0.9586954 0.5320473 0.8891269
>> > 0.8522317 0.641292 0.9024777
>> > 0.7172216 0.7869344 0.9221045
>> > 0.5019212 0.5607276 0.8926608
>> > 0.6892507 0.722802 0.9130005
>> > 0.5197227 0.547926 0.8911097
>> > 0.6910355 0.4711651 0.8817452
>> > 0.1635166 0.5960693 0.8969858
>> > 0.6157443 0.3740314 0.8693667
>> > 0.3012652 0.3860136 0.8709832
>> > 0.7918442 0.5396737 0.8900836
>> > 0.7781783 0.7286279 0.9137793
>> > 0.5959097 0.6063727 0.8982006
>> > 0.5335883 0.5932636 0.8966064
>> > 0.4868495 0.4225826 0.8756897
>> > 0.3517952 0.242862 0.8500197
>> > 0.8330476 0.638904 0.9021835
>> > 0.1146440 0.03340253 0.786976
>> > 0.3653549 0.1617220 0.8345306
>> > 0.3287211 0.05560717 0.8008241
>> > 0.3507715 0.6139207 0.899147
>> > 0.3250503 0.4740786 0.882139
>> > 0.4259684 0.4225980 0.8756974
>> > 0.3831548 0.342748 0.86514
>> > 0.9297493 0.2764793 0.8553747
>> > 0.5209303 0.1444220 0.830535
>> > 0.2882225 0.4086862 0.8739324
>> > 0.06696263 0.05796908 0.8020525
>> > 0.2569928 0.6683259 0.9059325
>> > 0.737885 0.2643880 0.8535031
>> > 0.3417781 0.7339068 0.9145383
>> > 0.3003221 0.3746508 0.86948
>> > 0.6078735 0.08374094 0.8128343
>> > 0.7575533 0.2061716 0.8434881
>> > 0.04393339 0.2817576 0.856314
>> > 0.03873323 0.5468552 0.8910451
>> > 0.2659629 0.9524063 0.9580801
>> > 0.3318478 0.09184787 0.8157145
>> > 0.01326908 0.7941016 0.9232865
>> > 0.9531499 0.4246153 0.8758845
>> > 0.7878766 0.3739315 0.8693344
>> > 0.4278367 0.1187609 0.8239353
>> > 0.4751271 0.1594320 0.8340107
>> > 0.1298515 0.3193727 0.8618747
>> > 0.3889802 0.2466491 0.8506491
>> > 0.8919073 0.8100828 0.9256764
>> > 0.1007718 0.736085 0.914866
>> > 0.349479 0.5494373 0.8913082
>> > 0.6323708 0.5641948 0.8930688
>> > 0.4892277 0.592541 0.8965224
>> > 0.4317011 0.4708038 0.8817252
>> > 0.3640796 0.4606731 0.8804793
>> > 0.01587231 0.7557596 0.9176387
>> > 0.4029896 0.7396784 0.9153261
>> > 0.770008 0.6728253 0.9064569
>> > 0.7758348 0.3790344 0.870014
>> > 0.9256958 0.3866791 0.8709969
>> > 0.6965112 0.4335875 0.8770627
>> > 0.7327289 0.7813275 0.9212618
>> > 0.5994686 0.6169224 0.8994933
>> > 0.4861951 0.4077528 0.8737927
>> > 0.6227905 0.7492211 0.916635
>> > 0.2875190 0.754739 0.9174414
>> > 0.3583206 0.7108705 0.911435
>> > 0.2379315 0.7160225 0.9121322
>> > 0.2701988 0.371379 0.869047
>> > 0.2939349 0.2881057 0.8572388
>> > 0.686119 0.3435468 0.8652209
>> > 0.737684 0.1018767 0.818933
>> > 0.1022111 0.4620055 0.8806782
>> > 0.06743866 0.001328434 0.7155677
>> > 0.3189881 0.8103201 0.9257696
>> > 0.002606828 0.2529638 0.85179
>> > 0.754083 0.7591491 0.9180267
>> > 0.7783337 0.6120818 0.8988813
>> > 0.09418842 0.4592762 0.8803417
>> > 0.1289346 0.05072358 0.7982676
>> > 0.7680676 0.723607 0.913101
>> > 0.09463494 0.3502957 0.8662194
>> > 0.6247462 0.4354511 0.8773048
>> > 0.5472626 0.2640714 0.8534728
>> > 0.8046991 0.4033715 0.8731942
>> > 0.992037 0.8971756 0.9419815
>> > 0.1490033 0.5284286 0.8887884
>> > 0.1480197 0.5933815 0.8966606
>> > 0.4580494 0.5930807 0.8965908
>> > 0.4352076 0.4091756 0.8739806
>> > 0.3295796 0.1434968 0.8303327
>> > 0.431351 0.1096168 0.8213174
>> > 0.3167224 0.0862319 0.8137642
>> > 0.7067212 0.3611669 0.8676301
>> > 0.2601349 0.276127 0.8554021
>> > 0.4183247 0.7391175 0.9152474
>> > 0.5419186 0.5523624 0.8916447
>> > 0.9137419 0.8009559 0.9242306
>> > 0.9947217 0.7134031 0.9116726
>> > 0.7504282 0.1754408 0.8374331
>> > 0.3895617 0.3479445 0.8658571
>> > 0.6451314 0.6753639 0.9067933
>> > 0.6406233 0.3609228 0.867604
>> > 0.1448996 0.4616181 0.8806225
>> > 0.07675675 0.2447339 0.8503745
>> > 0.7305003 0.6765511 0.9069367
>> > 0.4862806 0.7636162 0.9186905
>> > 0.3355425 0.4680102 0.8813898
>> > 0.1981130 0.06148056 0.8037123
>> > 0.7579405 0.3969405 0.8723663
>> > 0.6168173 0.5598662 0.892546
>> > 0.4375986 0.5554698 0.8920301
>> > 0.4461622 0.7040231 0.910523
>> > 0.8777072 0.5413942 0.8902793
>> > 0.6782004 0.7177896 0.9123287
>> > 0.7209967 0.7495791 0.9166762
>> > 0.3230692 0.4923728 0.8843828
>> > 0.4387517 0.5043017 0.8858267
>> > 0.5148218 0.4466403 0.8787188
>> > 0.3047676 0.7538997 0.917321
>> > 0.9527929 0.1671429 0.8356328
>> > 0.9513049 0.3790206 0.8699783
>> > 0.6636276 0.5972614 0.8970817
>> > 0.1938244 0.4355477 0.8773607
>> > 0.3600900 0.4452904 0.8785646
>> > 0.2040542 0.2728078 0.8548912
>> > 0.4846581 0.2225607 0.846501
>> > 0.7091428 0.239741 0.8494566
>> > 0.5655244 2.537281e-05 0.6471484
>> > 0.4467683 0.1794644 0.838298
>> > 0.5270517 0.2173856 0.8455707
>> > 0.4940919 0.3665292 0.8683744
>> > 0.7128475 0.00847929 0.7538282
>> > 0.6727687 0.03073103 0.7847315
>> > 0.7023412 0.1143117 0.8226524
>> > 0.6435959 0.8386252 0.9304646
>> > 0.4167312 0.6090668 0.8985462
>> > 0.682974 0.7439136 0.9158887
>> > 0.5743695 0.9627705 0.9624433
>> > 0.4746829 0.2658398 0.8537617
>> > 0.2591787 0.05880024 0.802423
>> > 0.5281165 0.6724808 0.906436
>> > 0.2721701 0.4292930 0.8765619
>> > 0.5527161 0.5641951 0.8930761
>> > 0.4820321 0.5303901 0.8889902
>> > 0.519115 0.6716372 0.9063293
>> > 0.06265548 0.955931 0.9595114
>> > 0.3800652 0.7018464 0.9102427
>> > 0.3546165 0.415416 0.8747885
>> > 0.6800597 0.9266552 0.9495428
>> > 0.4970227 0.9582172 0.960424
>> > 0.5395118 0.999861 1.021719
>> > 0.3521434 0.5106511 0.8866073
>> > 0.6013237 0.7820113 0.9213758
>> > 0.8364799 0.7461522 0.9161836
>> > 0.571522 0.9823802 0.9742642
>> > 0.4043184 0.5279379 0.8887002
>> > 0.7320448 0.08124245 0.8118969
>> > 0.4386114 0.7264156 0.9135103
>> > 0.649196 0.4673266 0.8812757
>> > 0.2198846 0.4410754 0.878052
>> > 0.2285649 0.6274793 0.900828
>> > 0.5241012 0.8958289 0.9417466
>> > 0.362962 0.315014 0.8612168
>> > 0.3052995 0.3960945 0.8723014
>> > 0.905782 0.3447792 0.8653598
>> > 0.8931942 0.6032726 0.8977864
>> > 0.4266403 0.4421003 0.8781588
>> > 0.6388304 0.6090837 0.8985284
>> > 0.56878 0.579462 0.8949255
>> > 0.2950412 0.7102818 0.9113629
>> > 0.8296596 0.9120703 0.9456078
>> > 0.8635411 0.5362425 0.889658
>> > 0.9661249 0.6000882 0.897377
>> > 0.8104151 0.7164646 0.9121375
>> > 0.6788884 0.6432019 0.9027357
>> > 0.8568189 0.3015897 0.8591981
>> > 0.8460857 0.5678257 0.8934844
>> > 0.3145571 0.1828112 0.8389946
>> > 0.8994917 0.4629269 0.8806988
>> > 0.3515329 0.6217972 0.9001149
>> > 0.2874208 0.5560029 0.892109
>> > 0.4120654 0.7204939 0.9127143
>> > 0.1825168 0.5184448 0.887573
>> > 0.9755303 0.7021669 0.9102076
>> > 0.6491138 0.7110952 0.9114395
>> > 0.3967447 0.3955594 0.8722225
>> > 0.7102073 0.1843923 0.8392725
>> > 0.2964985 0.1360965 0.8285183
>> > 0.1869265 0.5907168 0.8963308
>> > 0.4028261 0.757025 0.9177552
>> > 0.6887386 0.7294083 0.9138946
>> > 0.8914899 0.7315796 0.9141653
>> > 0.4680622 0.6889618 0.9085565
>> > 0.5421646 0.551866 0.8915845
>> > 0.3836133 0.3281107 0.863089
>> > 0.7949356 0.698984 0.9098294
>> > 0.652499 0.7218326 0.9128735
>> > 0.923453 0.5489377 0.8911828
>> > 0.872984 0.1647356 0.835132
>> > 0.9080439 0.3139736 0.8610017
>> > 0.9078707 0.3264533 0.862792
>> > 0.1497525 0.6098135 0.8986666
>> > 0.2727475 0.5059691 0.886046
>> > 0.1080346 0.6117073 0.8989056
>> > 0.7163249 0.4961443 0.884806
>> > 0.1665438 0.7095927 0.9112861
>> > 0.1147964 0.7040084 0.9105571
>> > 0.6361728 0.4526705 0.8794596
>> > 0.2948908 0.6166378 0.899486
>> > 0.2754661 0.7791832 0.9209829
>> > 0.5040162 0.4605482 0.8804507
>> > 0.7755624 0.7083473 0.9110629
>> > 0.007938672 0.6512774 0.9038441
>> > 0.2143095 0.7018575 0.9102607
>> > 0.4256598 0.3218441 0.862193
>> > 0.7021327 0.1471694 0.83117
>> > 0.8541683 0.5130324 0.8868449
>> > 0.8165188 0.8621911 0.9347445
>> > 0.6407761 0.48237 0.8831282
>> > 0.5312793 0.5385175 0.88997
>> > 0.4844806 0.6393667 0.902276
>> > 0.8293853 0.7139695 0.9118023
>> > 0.9128633 0.716203 0.9120864
>> > 0.5514199 0.503507 0.8857197
>> > 0.3412234 0.7031551 0.910418
>> > 0.4681908 0.8509374 0.932675
>> > 0.5099785 0.897836 0.9422059
>> > 0.613507 0.8843356 0.9392177
>> > 0.5615576 0.5944772 0.8967518
>> > 0.2233283 0.5227858 0.8880943
>> > 0.7192387 0.1106780 0.8215985
>> > 0.6253335 0.5056905 0.8859786
>> > 0.3923049 0.7112349 0.9114802
>> > 0.5103654 0.6072716 0.8983182
>> > 0.8546338 0.6290934 0.9009646
>> > 0.2189133 0.4025152 0.8731445
>> > 0.1557879 0.9385458 0.9531978
>> > 0.3178054 0.4950795 0.884714
>> > 0.4594106 0.4929672 0.8844424
>> > 0.2145317 0.6494829 0.9035634
>> > 0.7338679 0.0743877 0.8092418
>> > 0.2910765 7.344265e-06 0.6282273
>> > 0.6739632 0.04388068 0.7941999
>> > 0.4262167 0.788432 0.9223558
>> > 0.815637 0.4462349 0.8786363
>> > 0.4944984 0.0325375 0.7862377
>> > 0.5482012 0.6671962 0.9057626
>> > 0.7203222 0.6536981 0.904044
>> > 0.6473953 0.4267527 0.8762038
>> > 0.1459738 0.2673097 0.8540337
>> > 0.3430013 0.9186308 0.9473533
>> > 0.3968373 0.6025617 0.8977525
>> > 0.4825984 0.8971687 0.942055
>> > 0.6915212 0.4134755 0.8745077
>> > 0.7016574 0.2524424 0.8515746
>> > 0.4246859 0.7426717 0.9157385
>> > 0.004345354 0.7664402 0.9191835
>> > 0.03124377 0.8600277 0.93442
>> > 0.2576312 0.2757442 0.8553429
>> > 0.2569686 0.7540984 0.9173539
>> > 0.1386583 0.5013163 0.8854969
>> > 0.004756962 0.5166277 0.8874133
>> > 0.6976297 0.4815717 0.8830245
>> > 0.697404 0.4244274 0.8759037
>> > 0.8112176 0.5899199 0.8961713
>> > 0.713734 0.3745925 0.8694313
>> > 0.8887044 0.85696 0.9337461
>> > 0.2278300 0.9559154 0.9594826
>> > 0.9451097 0.5987058 0.8972164
>> > 0.1199859 0.713117 0.9117607
>> > 0.2427017 0.8342876 0.9297474
>> > 0.3799076 0.6385965 0.9021895
>> > 0.780296 0.3971621 0.8723923
>> > 0.4833612 0.6403189 0.9023944
>> > 0.6143626 0.6414991 0.9025297
>> > 0.7478517 0.8341564 0.9296813
>> > 0.5848616 0.2031911 0.842948
>> > 0.803453 0.02763294 0.7819796
>> > 0.8947829 0.1982048 0.8419586
>> > 0.5401919 0.3691551 0.8687224
>> > 0.8064726 0.2461822 0.8505264
>> > 0.9174961 0.9000155 0.9426684
>> > 0.8649377 0.7263216 0.9134553
>> > 0.368144 0.3114216 0.860695
>> > 0.3960397 0.7991588 0.9240037
>> > 0.7474788 0.7891092 0.9224306
>> > 0.8244429 0.4399955 0.8778534
>> > 0.4090636 0.9744874 0.9686875
>> > 0.60864 0.3629311 0.8678787
>> > 0.8792287 0.1042003 0.8196308
>> > 0.5568143 0.6392743 0.9022581
>> > 0.2410288 0.7310255 0.9141548
>> > 0.5096632 0.5728588 0.8941298
>> > 0.6754568 0.7334808 0.9144511
>> > 0.9016902 0.8356986 0.929927
>> > 0.794581 0.823762 0.9279195
>> > 0.3333656 0.7053623 0.9107092
>> > 0.7280451 0.919738 0.9476197
>> > 0.5522382 0.1590644 0.8339207
>> > 0.6466815 0.6127797 0.8989805
>> > 0.8000029 0.4637126 0.8808121
>> > 0.5983007 0.4788531 0.8827005
>> > 0.01127508 0.5186316 0.8876452
>> > 0.013699 0.563469 0.8930714
>> > 0.2427855 0.8413799 0.9309814
>> > 0.7656437 0.8558567 0.933556
>> > 0.7712339 0.6979084 0.9096916
>> > 0.7820254 0.2107216 0.8443285
>> > 0.2098941 0.3466435 0.8656979
>> > 0.6803271 5.67055e-05 0.6599548
>> > 0.8533364 0.04563989 0.79525
>> > 0.3460994 0.4376786 0.8776115
>> > 0.1276769 0.8358598 0.9300324
>> > 0.1840423 0.5695211 0.893758
>> > 0.1898183 4.343381e-13 0.4279754
>> > 0.5374682 3.43534e-07 0.5847877
>> > 0.9653777 0.2941263 0.8580566
>> > 0.793583 0.7093681 0.9111959
>> > 0.767547 0.2485699 0.8509283
>> > 0.6692159 0.9999993 1.049294
>> > 0.8284223 0.1368672 0.8286505
>> > 0.9165768 0.7461044 0.9161635
>> > 0.07780481 0.2581183 0.8525758
>> > 0.8283647 0.07059201 0.8076717
>> > 0.4945938 0.08162078 0.8120646
>> > 0.7121621 0.5978781 0.897152
>> > 0.003852813 0.1328189 0.8277767
>> > 0.7119404 0.05172274 0.7987407
>> > 0.8855203 0.6257442 0.900546
>> > 0.9218816 0.8273478 0.9285
>> > 0.9233806 0.7509503 0.9168407
>> > 0.2593601 0.08886668 0.8146992
>> > 0.5798519 0.8080687 0.9253888
>> > 0.2083358 0.9943995 0.9891006
>> > 0.9928156 0.811554 0.925873
>> > 0.6316176 0.7618544 0.9184253
>> > 0.2909255 0.2391205 0.8493947
>> > 0.4806987 0.05703826 0.8015291
>> > 0.8148117 0.6490257 0.9034478
>> > 0.5015989 0.7569907 0.917742
>> > 0.618849 0.8112648 0.925896
>> > 0.8680278 0.1261190 0.8258788
>> > 0.9843081 0.4610686 0.8804365
>> > 0.981136 0.5933233 0.8965434
>> > 0.3402781 0.7650686 0.9189122
>> > 0.636855 0.6395097 0.9022802
>> > 0.1015914 0.9004152 0.9428428
>> > 0.01417522 0.1301853 0.8270804
>> > 0.01399330 0.4096037 0.8741114
>> > 0.3585436 0.1450862 0.830711
>> > 0.8398029 0.6609509 0.9049425
>> > 0.5550948 0.8041808 0.9247759
>> > 0.3279216 0.3477294 0.8658338
>> > 0.800509 0.7437003 0.9158468
>> > 0.8634276 0.2644834 0.8535005
>> > 0.4027558 0.03161294 0.7854964
>> > 0.9603643 0.08939088 0.814781
>> > 0.8684457 0.2258063 0.847029
>> > 0.2337130 0.6693651 0.906067
>> > 0.8418288 0.06168066 0.8037274
>> > 0.6960713 0.236729 0.8489459
>> > 0.9778375 0.1392889 0.8292076
>> > 0.909325 0.4792852 0.8827139
>> > 0.6743998 0.001302298 0.7150928
>> > 0.002995692 0.3198894 0.862011
>> > 0.7865613 0.8194578 0.9272093
>> > 0.7795525 0.7334021 0.9144298
>> > 0.983064 0.3390965 0.8645403
>> > 0.8615933 0.2985286 0.8587428
>> > 0.008317132 0.2811343 0.8562448
>> > 0.3336097 0.5237279 0.8881966
>> > 0.6511454 0.5833166 0.895386
>> > 0.8859316 0.6190705 0.899724
>> > 0.01688167 0.1500001 0.8319426
>> > 0.002360940 0.1319095 0.8275506
>> > 0.6274613 0.5826939 0.8953125
>> > 0.008114898 0.6664864 0.9057595
>> > 0.001045473 0.2242417 0.8469188
>> > 0.0508478 0.4957073 0.8848329
>> > 0.5888479 0.914019 0.946127
>> > 0.7740566 0.8235836 0.9278921
>> > 0.8057038 0.3660084 0.8682713
>> > 0.4770886 0.6560355 0.9043598
>> > 0.5256923 0.8803939 0.938396
>> > 0.8566784 0.7790501 0.9209085
>> > 0.7719712 0.6309976 0.901211
>> > 0.1469819 0.8088482 0.9255534
>> > 0.2189924 0.03436754 0.7877055
>> > 0.9558648 0.1629045 0.8347084
>> > 0.9225076 0.2217156 0.846293
>> > 0.8208944 0.8208895 0.9274408
>> > 0.2174652 0.1468581 0.8311496
>> > 0.618421 0.4026186 0.8731176
>> > 0.6247648 0.7436365 0.9158555
>> > 0.2372800 0.2181356 0.8457368
>> > 0.7013663 0.8468071 0.931908
>> > 0.7868276 0.9131027 0.945875
>> > 0.6576328 0.585279 0.8956237
>> > 0.9719215 0.4717628 0.8817672
>> > 0.7798435 0.1481837 0.8313995
>> > 0.6780997 0.5981976 0.8971944
>> > 0.3070307 0.1875593 0.8399491
>> > 0.4197094 0.5990637 0.8973235
>> > 0.5040344 0.1640605 0.8350302
>> > 0.8834981 0.6167573 0.89944
>> > 0.1481133 0.8285937 0.9287888
>> > 0.1471865 0.6445625 0.9029578
>> > 0.1327257 0.6725547 0.906486
>> > 0.3433113 0.6927705 0.9090613
>> > 0.2946019 0.4352499 0.8773112
>> > 0.003406429 0.3938362 0.8720895
>> > 0.2857042 0.5735738 0.8942374
>> > 0.6455505 0.2243478 0.8468013
>> > 0.9490315 0.2099423 0.8441508
>> > 0.04602036 0.3690979 0.8687822
>> > 0.1056053 0.7631722 0.918667
>> > 0.6817949 0.528255 0.8887128
>> > 0.5644347 0.6491707 0.9034914
>> > 0.7570488 0.7966135 0.9235781
>> > 0.6593145 0.2074085 0.84373
>> > 0.8925004 0.6638273 0.9052974
>> > 0.1246228 0.4961518 0.8848695
>> > 0.7857138 0.542488 0.890425
>> > 0.8963653 0.2669431 0.8538854
>> > 0.6514738 0.7706894 0.919701
>> > 0.2293905 0.8438272 0.9314158
>> > 0.3912309 0.6160558 0.8994053
>> > 0.2982153 0.5130745 0.8869073
>> > 0.4044714 0.7306236 0.9140846
>> > 0.9431583 0.616781 0.8994294
>> > 0.04552623 0.8735693 0.9370548
>> > 0.7237478 0.6736022 0.9065609
>> > 0.6859905 0.8343209 0.9297154
>> > 0.7823167 0.7148671 0.9119277
>> > 0.9521752 0.3384298 0.8644647
>> > 0.2351690 0.243558 0.85015
>> > 0.3056817 0.5057963 0.8860215
>> > 0.5686026 0.6364396 0.901905
>> > 0.7356786 0.4167618 0.8749232
>> > 0.2266795 0.7380897 0.915124
>> > 0.3347846 0.8819222 0.9387305
>> > 0.3956415 0.8593319 0.9342383
>> > 0.7768104 0.8177261 0.9269268
>> > 0.3056832 0.5966309 0.8970376
>> > 0.5204085 0.8136706 0.9262912
>> > 0.2521421 0.3396209 0.8647196
>> > 0.2473847 0.2164454 0.8454306
>> > 0.1108629 0.4169697 0.8750187
>> > 0.2838937 0.3549462 0.8668274
>> > 0.5465899 0.5446338 0.8907089
>> > 0.1034264 0.7386064 0.9152123
>> > 0.2498704 0.09973506 0.8183126
>> > 0.1136003 0.2718162 0.8547505
>> > 0.4172970 0.5540139 0.8918557
>> > 0.1390018 0.8442352 0.9314993
>> > 0.005563172 0.8066043 0.9252453
>> > 0.5818675 0.6424044 0.9026453
>> > 0.1430274 0.674245 0.9066999
>> > 0.03769988 0.4290427 0.8765737
>> > 0.8556575 0.3844797 0.870722
>> > 0.8775405 0.417829 0.8750397
>> > 0.9104062 0.6323445 0.9013568
>> > 0.1074026 0.2182002 0.8457692
>> > 0.7204749 0.1104211 0.821523
>> > 0.3492221 0.3339966 0.8639225
>> > 0.1576476 0.4215118 0.8755896
>> > 0.9048666 0.6262912 0.9006098
>> > 0.4718103 0.2724998 0.8548135
>> > 0.4361739 0.09929708 0.8181518
>> > 0.2972725 0.7777231 0.9207644
>> > 0.5665044 0.8808408 0.938486
>> > 0.738228 0.5602356 0.8925787
>> > 0.5540302 0.5708308 0.89388
>> > 0.1375065 0.8168868 0.9268497
>> > 0.07578065 0.3489205 0.8660352
>> > 0.3726154 0.2491216 0.851061
>> > 0.6368203 0.7509145 0.9168716
>> > 0.8306685 0.777946 0.9207484
>> > 0.2833806 0.5546789 0.8919492
>> > 0.09934053 0.6805804 0.9075179
>> > 0.1655332 0.8468221 0.9319582
>> > 0.2844294 0.8254702 0.928249
>> > 0.1464508 0.9015246 0.943096
>> > 0.389557 0.6143054 0.8991906
>> > 0.1621419 0.6400966 0.9023995
>> > 0.0971209 0.4490999 0.8790752
>> > 0.2709383 0.8486465 0.9322756
>> > 0.4742362 0.4121831 0.874363
>> > 0.6779411 0.5489203 0.8912153
>> > 0.5392679 0.3478413 0.8658285
>> > 0.4443618 0.6275902 0.9008207
>> > 0.08832718 0.5932862 0.8966598
>> > 0.5118831 0.01596035 0.7684642
>> > 0.9978362 0.2475618 0.850678
>> > 0.2128232 0.9456008 0.9555712
>> > 0.1790925 0.6703308 0.9061963
>> > 0.7668958 0.4674435 0.8812775
>> > 0.1564061 0.2451245 0.8504234
>> > 0.1336754 0.3983315 0.8726147
>> > 0.0975977 0.2043324 0.8432229
>> > 0.01216834 0.2339812 0.8485838
>> > 0.1569461 0.5324595 0.8892754
>> > 0.04365445 0.4410925 0.8780887
>> > 0.2494574 0.02976159 0.7839518
>> > 0.7012898 0.4499832 0.879118
>> > 0.4708703 0.4863704 0.8836344
>> > 0.5920373 0.707517 0.910971
>> > 0.9561298 0.1947485 0.8412737
>> > 0.4952743 0.03657176 0.7893157
>> > 0.915553 0.4239565 0.875812
>> > 0.7713963 0.06609137 0.805744
>> > 0.05493889 0.2130792 0.844855
>> > 0.6821484 0.7026926 0.9103274
>> > 0.5336243 0.91109 0.9453866
>> > 0.6867021 0.7411612 0.9155066
>> > 0.975979 0.04527906 0.7949923
>> > 0.837784 0.74753 0.9163759
>> > 0.4934895 0.416351 0.8748948
>> > 0.005828299 0.3566607 0.8671348
>> > 0.3310498 0.8961609 0.9418372
>> > 0.03192657 0.850284 0.932612
>> > 0.08457336 0.6901218 0.9087509
>> > 0.2031292 0.4299748 0.8766564
>> > 0.7614405 0.7459437 0.9161635
>> > 0.2555080 0.674626 0.9067344
>> > 0.7083119 0.4501719 0.8791408
>> > 0.945163 0.1646992 0.8351056
>> > 0.06908377 0.2324591 0.8482912
>> > 0.03880391 0.2281361 0.8475513
>> > 0.5105381 0.8672677 0.9357525
>> > 0.05855021 0.5165195 0.8873631
>> > 0.1300929 0.8829 0.9389577
>> > 0.1747403 0.1704515 0.8364469
>> > 0.2981974 0.1595222 0.8340497
>> > 0.0055007 0.3530877 0.8666484
>> > 0.7576901 0.264833 0.8535717
>> > 0.6933019 0.5738702 0.8942353
>> > 0.6443269 0.2171339 0.8455133
>> > 0.4122726 0.490008 0.884085
>> > 0.08336114 0.6785415 0.9072598
>> > 0.5589743 0.7387024 0.9151783
>> > 0.92432 0.6836011 0.907813
>> > 0.9606246 0.1255525 0.825702
>> > 0.4450934 0.2194885 0.8459569
>> > 0.5807345 0.4559498 0.8798728
>> > 0.6236046 0.5395055 0.890081
>> > 0.5478731 0.8940408 0.9413413
>> > 0.8278164 0.5863816 0.8957387
>> > 0.8017402 0.2607101 0.8529055
>> > 0.7423169 0.7402687 0.9153777
>> > 0.4548012 0.4569796 0.8800124
>> > 0.1770415 0.5387303 0.8900318
>> > 0.9073766 0.3520192 0.8663556
>> > 0.1492733 0.1125281 0.8222042
>> > 0.07429098 0.2712785 0.8546752
>> > 0.3683862 0.6588343 0.9047215
>> > 0.680869 0.7330059 0.9143857
>> > 0.7384956 0.6025491 0.8977193
>> > 0.3808318 0.3140541 0.861076
>> > 0.2843261 0.6324584 0.9014375
>> > 0.1436439 0.5258806 0.8884804
>> > 0.4224504 0.5743372 0.8943168
>> > 0.7524093 0.3438394 0.8652539
>> > 0.9357195 0.5169828 0.8873079
>> > 0.4036766 0.6824951 0.9077281
>> > 0.1014471 0.7351924 0.9147434
>> > 0.3524282 0.3972935 0.8724525
>> > 0.9483054 0.3513068 0.8662465
>> > 0.4396423 0.4028961 0.8731704
>> > 0.3531021 0.2731345 0.8549248
>> > 0.4443184 0.3142964 0.8611048
>> > 0.3768978 0.5842775 0.8955275
>> > 0.2466269 0.2663774 0.8538713
>> > 0.5962991 0.00470513 0.7410197
>> > 0.3756412 0.2967521 0.858532
>> > 0.04994566 0.2117102 0.8446063
>> > 0.1080174 0.4622149 0.880703
>> > 0.3629230 0.5252755 0.8883814
>> > 0.1887335 0.292769 0.8579568
>> > 0.3519446 0.7994556 0.9240536
>> > 0.1217339 0.1401854 0.8295575
>> > 0.174763 0.618114 0.8996812
>> > 0.4586664 0.6402342 0.902386
>> > 0.5343869 0.3013533 0.8592008
>> > 0.2161009 0.3156891 0.861331
>> > 0.17651 0.4887034 0.8839512
>> > 0.9917181 0.4244217 0.8758332
>> > 0.604959 0.2353208 0.8487147
>> > 0.8332544 0.5308923 0.8890146
>> > 0.51212 0.596579 0.8970123
>> > 0.5994383 0.2876340 0.8571365
>> > 0.8807404 0.4205335 0.875384
>> > 0.072703 0.503507 0.8857772
>> > 0.1272491 0.7729678 0.9200844
>> > 0.5047155 0.903465 0.943523
>> > 0.1129428 0.8151764 0.9265756
>> > 0.546922 0.6979866 0.909723
>> > 0.9591556 0.02840703 0.7826478
>> > 0.8617191 0.1017775 0.8188833
>> > 0.6370122 0.1468348 0.831098
>> > 0.431313 0.7198841 0.9126308
>> > 0.1316088 0.8709087 0.9365054
>> > 0.7881227 0.8493899 0.9323656
>> > 0.6531763 0.6218253 0.9000913
>> > 0.790503 0.6167768 0.899456
>> > 0.8466432 0.9889855 0.9807199
>> > 0.6609452 0.3529404 0.8665161
>> > 0.9637131 0.1053617 0.8199601
>> > 0.6903624 0.3402932 0.8647688
>> > 0.8406482 0.3099546 0.8604301
>> > 0.4943412 0.5324295 0.8892361
>> > 0.5210708 0.1568008 0.8334152
>> > 0.9086716 0.5761234 0.8944793
>> > 0.09083374 0.5520557 0.891659
>> > 0.6066495 0.5805193 0.8950504
>> > 0.5294395 0.5708622 0.893886
>> > 0.02075211 0.8740981 0.9371722
>> > 0.3150380 0.4126541 0.874439
>> > 0.8028235 0.4867181 0.8836432
>> > 0.5138899 0.2777579 0.855629
>> > 0.2610341 0.4841342 0.883381
>> > 0.2810478 0.4913972 0.884268
>> > 0.9002693 0.4355419 0.8772805
>> > 0.7717612 0.6170158 0.8994875
>> > 0.8091782 0.598264 0.897188
>> > 0.5719824 0.6296076 0.9010587
>> > 0.5029268 0.5059016 0.8860156
>> > 0.613944 0.2153304 0.8451901
>> > 0.2244824 0.1831607 0.8390764
>> > 0.7980058 0.1371974 0.8287375
>> > 0.932274 0.4284666 0.8763795
>> > 0.6961254 0.4558324 0.8798468
>> > 0.3442136 0.1641236 0.8350606
>> > 0.5064431 0.1621777 0.8346166
>> > 0.4151743 0.4776614 0.882571
>> > 0.06262435 0.7949185 0.9233896
>> > 0.7819505 0.6249127 0.9004582
>> > 0.5856734 0.3304368 0.8633984
>> >
>> >
>> > ------------------------------------------------------------------------
>> >
>> > ______________________________________________
>> > R-help at stat.math.ethz.ch mailing list
>> > https://stat.ethz.ch/mailman/listinfo/r-help
>> > PLEASE do read the posting guide
>> http://www.R-project.org/posting-guide.html
>> > and provide commented, minimal, self-contained, reproducible code.
>>
>>
>



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