Object is UNU.RAN object: method: pinv distr: normal(1,2) inversion: TRUE generator ID: PINV.019 distribution: name = normal (1,2) [UNU.RAN standard distribution] type = continuous univariate distribution functions = PDF domain = (-inf, inf) center = 1 [= mode] method: PINV (Polynomial interpolation based INVerse CDF) order of polynomial = 5 smoothness = 0 [continuous] use PDF + Lobatto integration [default] performance characteristics: truncated domain = (-12.6429,14.6429) u-error <= 8.78462e-11 (mean = 2.92897e-11) [ u-resolution = 1e-10 ] area below PDF = 0.99999999999102207 # intervals = 124 parameters: order = 5 [default] smoothness = 0 [default] u_resolution = 1e-10 [default] use_upoints = FALSE [default] boundary = (-1e+100,1e+100) [default] search for boundary: left=TRUE, right=TRUE [default] maximum number of interval = 10000 [default] keep table of CDF values = FALSE [default] [ Hint: You can increase "order" to decrease #intervals ] [ Hint: You can decrease the u-error by decreasing "u_resolution". (it is bounded by the machine epsilon, however.) ] NULL $method [1] "PINV" $type [1] "inv" $distr.class [1] "cont" $truncated.domain [1] -12.64294 14.64294 $area.pdf [1] 1 $intervals [1] 124 $method [1] "PINV" $type [1] "inv" $distr.class [1] "cont" $truncated.domain [1] -12.64294 14.64294 $area.pdf [1] 1 $intervals [1] 124 $cdfi [1] 0.000000e+00 4.905039e-12 3.519913e-11 3.676320e-10 2.519608e-09 [6] 1.110161e-08 3.996897e-08 1.212928e-07 3.182389e-07 7.373581e-07 [11] 1.535787e-06 3.131387e-06 5.838644e-06 1.070109e-05 1.819147e-05 [16] 3.049936e-05 4.798854e-05 7.466746e-05 1.100995e-04 1.608886e-04 [21] 2.330022e-04 3.344250e-04 4.594312e-04 6.266164e-04 8.484974e-04 [26] 1.140709e-03 1.479732e-03 1.908421e-03 2.447122e-03 3.119855e-03 [31] 3.954746e-03 4.984436e-03 6.246481e-03 7.783693e-03 9.644424e-03 [36] 1.188275e-02 1.426947e-02 1.705811e-02 2.029992e-02 2.404955e-02 [41] 2.836470e-02 3.330562e-02 3.893454e-02 4.531493e-02 5.251068e-02 [46] 6.058506e-02 6.959969e-02 7.961334e-02 9.068064e-02 1.028508e-01 [51] 1.161663e-01 1.337044e-01 1.529820e-01 1.740181e-01 1.968066e-01 [56] 2.213146e-01 2.474808e-01 2.809398e-01 3.164442e-01 3.537266e-01 [61] 3.924681e-01 4.403712e-01 4.891644e-01 5.478663e-01 6.039486e-01 [66] 6.526773e-01 6.944972e-01 7.300983e-01 7.634926e-01 7.914914e-01 [71] 8.174346e-01 8.412616e-01 8.608794e-01 8.787782e-01 8.949923e-01 [76] 9.095755e-01 9.225982e-01 9.330538e-01 9.423819e-01 9.506560e-01 [81] 9.579528e-01 9.643505e-01 9.699274e-01 9.747608e-01 9.789256e-01 [86] 9.824935e-01 9.855324e-01 9.881057e-01 9.902723e-01 9.920858e-01 [91] 9.935950e-01 9.948437e-01 9.958709e-01 9.967110e-01 9.973941e-01 [96] 9.979464e-01 9.983903e-01 9.987450e-01 9.990268e-01 9.992494e-01 [101] 9.994242e-01 9.995607e-01 9.996848e-01 9.997756e-01 9.998415e-01 [106] 9.998889e-01 9.999228e-01 9.999467e-01 9.999662e-01 9.999788e-01 [111] 9.999869e-01 9.999920e-01 9.999956e-01 9.999976e-01 9.999988e-01 [116] 9.999994e-01 9.999997e-01 9.999999e-01 1.000000e+00 1.000000e+00 [121] 1.000000e+00 1.000000e+00 1.000000e+00 1.000000e+00 1.000000e+00 $xi [1] -12.64294256 -12.42977159 -12.00342965 -11.31275570 -10.69114915 [6] -10.18764784 -9.73449666 -9.32666060 -8.95960815 -8.62926094 [11] -8.33194845 -8.03463597 -7.76705473 -7.49947349 -7.25865038 [16] -7.01782726 -6.80108646 -6.58434565 -6.38927893 -6.19421221 [21] -5.99914549 -5.80407876 -5.62851871 -5.45295866 -5.27739861 [26] -5.10183856 -4.94383452 -4.78583047 -4.62782643 -4.46982238 [31] -4.31181833 -4.15381429 -3.99581024 -3.83780620 -3.67980215 [36] -3.52179811 -3.37959447 -3.23739083 -3.09518718 -2.95298354 [41] -2.81077990 -2.66857626 -2.52637262 -2.38416898 -2.24196534 [46] -2.09976170 -1.95755806 -1.81535442 -1.67315077 -1.53094713 [51] -1.38874349 -1.21809912 -1.04745475 -0.87681039 -0.70616602 [56] -0.53552165 -0.36487728 -0.16010404 0.04466921 0.24944245 [61] 0.45421569 0.69994358 0.94567148 1.24054495 1.52716196 [66] 1.78511727 2.01727705 2.22622085 2.43516465 2.62321408 [71] 2.81126350 2.99931292 3.16855740 3.33780188 3.50704636 [76] 3.67629084 3.84553532 3.99785535 4.15017538 4.30249542 [81] 4.45481545 4.60713548 4.75945551 4.91177554 5.06409557 [86] 5.21641561 5.36873564 5.52105567 5.67337570 5.82569573 [91] 5.97801577 6.13033580 6.28265583 6.43497586 6.58729589 [96] 6.73961592 6.89193596 7.04425599 7.19657602 7.34889605 [101] 7.50121608 7.65353612 7.83632015 8.01910419 8.20188823 [106] 8.38467227 8.56745631 8.75024034 8.96958119 9.18892204 [111] 9.40826288 9.62760373 9.89081274 10.15402176 10.41723077 [116] 10.73308159 11.04893241 11.36478323 11.74380421 12.12282519 [121] 12.57765037 13.12344058 13.66923080 14.30808257 14.64294178 $ui [,1] [,2] [,3] [,4] [,5] [1,] 4.704805e-13 1.401760e-12 2.690569e-12 4.026302e-12 4.905039e-12 [2,] 2.031445e-12 6.611129e-12 1.415277e-11 2.341399e-11 3.029409e-11 [3,] 1.424469e-11 5.159023e-11 1.265811e-10 2.379065e-10 3.324329e-10 [4,] 1.114407e-10 3.860388e-10 8.941832e-10 1.591659e-09 2.151976e-09 [5,] 5.652628e-10 1.848486e-09 3.979458e-09 6.615134e-09 8.581998e-09 [6,] 2.117116e-09 6.744927e-09 1.405321e-08 2.266231e-08 2.886736e-08 [7,] 6.518150e-09 2.031825e-08 4.120298e-08 6.480706e-08 8.132378e-08 [8,] 1.699433e-08 5.201339e-08 1.031277e-07 1.588959e-07 1.969461e-07 [9,] 3.846547e-08 1.159251e-07 2.255559e-07 3.416212e-07 4.191193e-07 [10,] 7.717149e-08 2.295547e-07 4.396238e-07 6.563645e-07 7.984284e-07 [11,] 1.558980e-07 4.624785e-07 8.827794e-07 1.314050e-06 1.595600e-06 [12,] 2.759904e-07 8.099230e-07 1.525984e-06 2.245054e-06 2.707258e-06 [13,] 4.999839e-07 1.464062e-06 2.751202e-06 4.037999e-06 4.862446e-06 [14,] 7.976593e-07 2.314796e-06 4.303349e-06 6.255717e-06 7.490381e-06 [15,] 1.319710e-06 3.823075e-06 7.092397e-06 1.029065e-05 1.230788e-05 [16,] 1.930503e-06 5.550650e-06 1.020587e-05 1.469111e-05 1.748918e-05 [17,] 2.961103e-06 8.501864e-06 1.560590e-05 2.243052e-05 2.667892e-05 [18,] 4.028799e-06 1.149492e-05 2.094363e-05 2.990498e-05 3.543204e-05 [19,] 5.800435e-06 1.653092e-05 3.007851e-05 4.289686e-05 5.078912e-05 [20,] 8.272071e-06 2.354817e-05 4.278885e-05 6.095069e-05 7.211359e-05 [21,] 1.168521e-05 3.322664e-05 6.029411e-05 8.578332e-05 1.014228e-04 [22,] 1.468252e-05 4.153916e-05 7.493215e-05 1.060536e-04 1.250062e-04 [23,] 1.970587e-05 5.569997e-05 1.003680e-04 1.419176e-04 1.671852e-04 [24,] 2.624486e-05 7.411500e-05 1.334065e-04 1.884526e-04 2.218810e-04 [25,] 3.468539e-05 9.786134e-05 1.759596e-04 2.483266e-04 2.922121e-04 [26,] 4.086612e-05 1.148327e-04 2.054970e-04 2.888066e-04 3.390227e-04 [27,] 5.182068e-05 1.455073e-04 2.601639e-04 3.653557e-04 4.286893e-04 [28,] 6.530286e-05 1.832286e-04 3.273245e-04 4.593196e-04 5.387005e-04 [29,] 8.178068e-05 2.292933e-04 4.092608e-04 5.738582e-04 6.727334e-04 [30,] 1.017791e-04 2.851539e-04 5.085242e-04 7.124998e-04 8.348904e-04 [31,] 1.258799e-04 3.524169e-04 6.279328e-04 8.791345e-04 1.029691e-03 [32,] 1.547188e-04 4.328364e-04 7.705569e-04 1.077994e-03 1.262045e-03 [33,] 1.889816e-04 5.282997e-04 9.396936e-04 1.313615e-03 1.537212e-03 [34,] 2.293958e-04 6.408062e-04 1.138827e-03 1.590780e-03 1.860731e-03 [35,] 2.767201e-04 7.724361e-04 1.371574e-03 1.914444e-03 2.238330e-03 [36,] 2.982002e-04 8.300572e-04 1.469083e-03 2.044725e-03 2.386718e-03 [37,] 3.492023e-04 9.714471e-04 1.718128e-03 2.389899e-03 2.788635e-03 [38,] 4.068654e-04 1.131188e-03 1.999262e-03 2.779261e-03 3.241811e-03 [39,] 4.716598e-04 1.310555e-03 2.314668e-03 3.215765e-03 3.749635e-03 [40,] 5.440157e-04 1.510706e-03 2.666321e-03 3.702069e-03 4.315147e-03 [41,] 6.243074e-04 1.732644e-03 3.055913e-03 4.240428e-03 4.940917e-03 [42,] 7.128366e-04 1.977167e-03 3.484772e-03 4.832591e-03 5.628918e-03 [43,] 8.098152e-04 2.244821e-03 3.953781e-03 5.479684e-03 6.380397e-03 [44,] 9.153482e-04 2.535858e-03 4.463295e-03 6.182102e-03 7.195745e-03 [45,] 1.029417e-03 2.850181e-03 5.013065e-03 6.939400e-03 8.074381e-03 [46,] 1.151862e-03 3.187313e-03 5.602166e-03 7.750198e-03 9.014633e-03 [47,] 1.282373e-03 3.546349e-03 6.228929e-03 8.612095e-03 1.001365e-02 [48,] 1.420471e-03 3.925932e-03 6.890895e-03 9.521600e-03 1.106730e-02 [49,] 1.565507e-03 4.324229e-03 7.584775e-03 1.047409e-02 1.217017e-02 [50,] 1.716652e-03 4.738917e-03 8.306432e-03 1.146377e-02 1.331548e-02 [51,] 2.250025e-03 6.219724e-03 1.091861e-02 1.508822e-02 1.753811e-02 [52,] 2.481142e-03 6.852762e-03 1.201799e-02 1.659307e-02 1.927763e-02 [53,] 2.716154e-03 7.495470e-03 1.313213e-02 1.811571e-02 2.103608e-02 [54,] 2.951859e-03 8.138994e-03 1.424550e-02 1.963468e-02 2.278853e-02 [55,] 3.184749e-03 8.773668e-03 1.534120e-02 2.112672e-02 2.450801e-02 [56,] 3.411091e-03 9.389238e-03 1.640138e-02 2.256733e-02 2.616617e-02 [57,] 4.355781e-03 1.199492e-02 2.096240e-02 2.885242e-02 3.345895e-02 [58,] 4.643330e-03 1.277114e-02 2.228730e-02 3.063816e-02 3.550442e-02 [59,] 4.898244e-03 1.345582e-02 2.344892e-02 3.219537e-02 3.728239e-02 [60,] 5.113269e-03 1.402937e-02 2.441389e-02 3.347915e-02 3.874148e-02 [61,] 6.340772e-03 1.738584e-02 3.022860e-02 4.141807e-02 4.790312e-02 [62,] 6.501088e-03 1.779416e-02 3.087582e-02 4.223052e-02 4.879318e-02 [63,] 7.878912e-03 2.152654e-02 3.726889e-02 5.086977e-02 5.870199e-02 [64,] 7.595132e-03 2.070066e-02 3.573934e-02 4.866589e-02 5.608225e-02 [65,] 6.642789e-03 1.807130e-02 3.113560e-02 4.232488e-02 4.872866e-02 [66,] 5.726432e-03 1.555853e-02 2.676880e-02 3.634711e-02 4.181994e-02 [67,] 4.888707e-03 1.327150e-02 2.281356e-02 3.095433e-02 3.560115e-02 [68,] 4.607116e-03 1.249131e-02 2.144137e-02 2.905627e-02 3.339423e-02 [69,] 3.867117e-03 1.048123e-02 1.798456e-02 2.436516e-02 2.799885e-02 [70,] 3.596737e-03 9.738471e-03 1.669055e-02 2.258931e-02 2.594318e-02 [71,] 3.315819e-03 8.968719e-03 1.535335e-02 2.075867e-02 2.382700e-02 [72,] 2.728670e-03 7.381296e-03 1.263774e-02 1.708971e-02 1.961777e-02 [73,] 2.497180e-03 6.749525e-03 1.154515e-02 1.559956e-02 1.789885e-02 [74,] 2.269022e-03 6.127794e-03 1.047178e-02 1.413779e-02 1.621409e-02 [75,] 2.046999e-03 5.523640e-03 9.430453e-03 1.272161e-02 1.458317e-02 [76,] 1.833524e-03 4.943527e-03 8.432090e-03 1.136565e-02 1.302276e-02 [77,] 1.468721e-03 3.962274e-03 6.763121e-03 9.121751e-03 1.045556e-02 [78,] 1.313567e-03 3.541341e-03 6.040034e-03 8.141164e-03 9.328096e-03 [79,] 1.168008e-03 3.146822e-03 5.363064e-03 7.223982e-03 8.274100e-03 [80,] 1.032573e-03 2.780083e-03 4.734434e-03 6.373070e-03 7.296770e-03 [81,] 9.075625e-04 2.441880e-03 4.155321e-03 5.589881e-03 6.397684e-03 [82,] 7.930731e-04 2.132417e-03 3.625956e-03 4.874592e-03 5.576953e-03 [83,] 6.890186e-04 1.851403e-03 3.145733e-03 4.226256e-03 4.833407e-03 [84,] 5.951543e-04 1.598126e-03 2.713330e-03 3.642967e-03 4.164779e-03 [85,] 5.111039e-04 1.371520e-03 2.326831e-03 3.122026e-03 3.567900e-03 [86,] 4.363849e-04 1.170238e-03 1.983849e-03 2.660111e-03 3.038894e-03 [87,] 3.704343e-04 9.927214e-04 1.681642e-03 2.253433e-03 2.573360e-03 [88,] 3.126322e-04 8.372627e-04 1.417229e-03 1.897892e-03 2.166545e-03 [89,] 2.623235e-04 7.020649e-04 1.187485e-03 1.589206e-03 1.813498e-03 [90,] 2.188374e-04 5.852936e-04 9.892305e-04 1.323033e-03 1.509206e-03 [91,] 1.815043e-04 4.851226e-04 8.193101e-04 1.095073e-03 1.248712e-03 [92,] 1.496695e-04 3.997701e-04 6.746531e-04 9.011506e-04 1.027207e-03 [93,] 1.227045e-04 3.275293e-04 5.523244e-04 7.372818e-04 8.401097e-04 [94,] 1.000159e-04 2.667910e-04 4.495617e-04 5.997240e-04 6.831186e-04 [95,] 8.105095e-05 2.160594e-04 3.638026e-04 4.850106e-04 5.522534e-04 [96,] 6.530227e-05 1.739628e-04 2.927007e-04 3.899716e-04 4.438772e-04 [97,] 5.230937e-05 1.392582e-04 2.341333e-04 3.117428e-04 3.547067e-04 [98,] 4.165926e-05 1.108322e-04 1.862018e-04 2.477661e-04 2.818111e-04 [99,] 3.298562e-05 8.769859e-05 1.472266e-04 1.957803e-04 2.226020e-04 [100,] 2.596682e-05 6.899224e-05 1.157364e-04 1.538077e-04 1.748164e-04 [101,] 2.032327e-05 5.396211e-05 9.045551e-05 1.201349e-04 1.364952e-04 [102,] 1.891310e-05 4.989501e-05 8.302766e-05 1.095849e-04 1.240673e-04 [103,] 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