ABCDEFGHIJKLMNOPQRS
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RANDOM VARIABLE GENERATION
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PARAMETERSF RANDOM VARIABLE GENERATIONHISTOGRAM PARAMETERSHISTOGRAM
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ParameterDomainValue#Random~U[0,1]X~F(df1,df2)MeasureValue#
Lower Bound
Upper Bound(LB+UB)/2
Absolute Frequency
Relative Frequency
Histogram Frequency
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df1R+1510,369371270,83892061Size1000010,09270,50270,29779190,09190,224137
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df2R+2020,970283802,47950792Min0,092720,50270,91270,707734850,34850,849966
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30,884435361,77092732Max6,243030,91271,32281,117729790,29790,726557
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MEASURES40,837994801,59812379Bins1541,32281,73281,527814640,14640,357059
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MeasureData Measurements
Parametric Measurements
50,864038361,68783536Range0,410051,73282,14281,93786130,06130,149506
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Mean1,09931,111160,878234891,7442097662,14282,55282,34782690,02690,065607
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Variance0,33090,339570,487224820,9732871072,55282,96282,75781370,01370,033413
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Standard Deviation0,57530,582780,935360402,0695155682,96283,37283,1678740,00740,018048
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Skewness1,73681,743590,507844570,9982752693,37283,78293,5778290,00290,007073
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Kurtosis8,40022,9922100,019645580,34340591103,78294,19293,9879120,00120,002927
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Median0,98170,9887110,831526411,57804025114,19294,60294,397970,00070,001707
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Mode0,787896190,7879120,557705151,06150750124,60295,01294,807980,00080,001951
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130,491947750,97895877135,01295,42295,217930,00030,000732
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DATA MOMENTS140,109714530,53423523145,42295,83295,627900,00000,000000
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k
Non Central Moments - µ'[k]
Central Moments - µ[k]150,735836441,34459301155,83296,24306,037910,00010,000244
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11,09930,0000160,702113091,28076580
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21,53950,3309170,964078742,37792313
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32,75060,3307180,027018800,36948935
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46,23410,9200190,553075181,05544399
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200,345585810,81283200
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PARAMETRIC MOMENTS210,276747930,73752069
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k
Non Central Moments - µ'[k]
Central Moments - µ[k]220,471723530,95487122
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11,11110,0000230,986649782,92198521
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21,57410,3395240,440323010,91839458
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32,84830,3449250,097368510,51560687
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46,64611,0742260,631376021,16482393
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270,119401060,54819405
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280,244727720,70196547
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290,225053220,67972114
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300,131902940,56550844
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310,508492390,99907019
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320,389337030,86097822
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330,983255992,79425977
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340,614905411,14045993
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350,364337030,83338477
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360,905979991,87652591
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370,613093441,13782929
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380,127073580,55890520
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390,027950360,37244357
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400,558816401,06296930
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410,179095700,62579352
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420,133518750,56769555
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430,188651790,63729906
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440,207511350,65952094
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450,117299680,54520943
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460,374047810,84407154
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470,542830601,04217721
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480,605652771,12712461
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490,705012481,28599685
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500,969881092,47225980
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510,884528831,77134100
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520,991619633,19140186
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530,412236060,88653713
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540,158041420,59971382
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550,939883372,10715480
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560,064460850,45929542
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570,306658890,77031378
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580,781618901,44417641
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590,610008851,13337268
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600,453946500,93409542
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610,427284120,90352626
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620,196341940,64643198
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630,670691241,22671023
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640,591803801,10760005
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650,316177940,78071111
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660,567362581,07429767
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670,392302000,86427019
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680,970252862,47894750
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690,703485741,28323678
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700,624889431,15512914
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710,989630933,06701338
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720,134307910,56875983
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730,677777911,23850673
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740,823279621,55349374
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750,288875690,75084890
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760,395911780,86828460
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770,541951151,04104763
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780,505426180,99531321
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790,507814030,99823780
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800,180822770,62788668
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810,954325022,25076429
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820,112754980,53867336
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830,585224901,09849692
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840,123274800,55363732
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850,885238001,77449071
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860,700871531,27853930
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870,066913010,46394579
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880,508782870,99942685
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890,381360540,85214432
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900,021874320,35187541
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910,158230540,59995321
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920,432068100,90896455
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930,123107940,55340437
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940,216578030,67001095
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950,186778870,63505832