ABCDEFGHIJKLMNOPQRS
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RANDOM VARIABLE GENERATION
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PARAMETERSTOPP LEONE RANDOM VARIABLE GENERATIONHISTOGRAM PARAMETERSHISTOGRAM
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ParameterDomainValue#Random~U[0,1]
X~ToppLeone(alpha,min,max)
MeasureValue#
Lower Bound
Upper Bound(LB+UB)/2
Absolute Frequency
Relative Frequency
Histogram Frequency
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alphaR+610,3500073115,99356556Size10000111,188311,771611,4799110,00110,001886
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minR, min < max1020,2909430915,68745142Min11,1883211,771612,355012,0633470,00470,008056
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maxR, min < max2030,2348431715,36826273Max19,9390312,355012,938412,6467990,00990,016970
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40,6039961917,16103083Bins15412,938413,521813,23012420,02420,041482
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MEASURES50,8048868618,11508422Range0,5834513,521814,105213,81353990,03990,068394
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MeasureData Measurements
Parametric Measurements
60,2392591115,39470590614,105214,688614,39695860,05860,100448
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Mean16,574716,590170,4101832316,28487237714,688615,272014,98038190,08190,140387
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Variance2,65762,658180,1979803115,13617387815,272015,855315,563610530,10530,180498
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Standard Deviation1,63021,630490,8630830518,44301407915,855316,438716,147011810,11810,202439
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Skewness-0,3217-0,3132100,1860952615,056269101016,438717,022116,730413040,13040,223523
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Kurtosis2,53982,5453110,3551324916,019060541117,022117,605517,313812770,12770,218895
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Median16,678116,6970120,9502029919,079286211217,605518,188917,897212070,12070,206896
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Mode16,984313,2580130,5830509117,067599591318,188918,772318,48069280,09280,159072
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140,5538319916,937512731418,772319,355719,06406080,06080,104219
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DATA MOMENTS150,2138973315,239063251519,355719,939019,64732390,02390,040968
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k
Non Central Moments - µ'[k]
Central Moments - µ[k]160,8092558418,13832043
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116,57470,0000170,8593077918,42029420
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2277,37822,6573180,1030876714,38532103
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34684,1573-1,3938190,9391862918,98007738
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479777,225217,9380200,8332108718,26928783
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210,7247647817,71444717
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PARAMETRIC MOMENTS220,5839236217,07148760
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k
Non Central Moments - µ'[k]
Central Moments - µ[k]230,1909643715,08934699
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10,65900,0000240,3072471215,77448609
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20,46090,0266250,2630561615,53304664
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30,3374-0,0014260,0310510613,37153074
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40,25610,0018270,5004327416,69889687
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280,6869961517,53720230
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290,0616831013,90558199
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300,3294132715,88956250
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310,9840542619,48275197
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320,4143896916,30466901
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330,8838588818,57290285
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340,6188991617,22772888
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350,3426411015,95666047
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360,4233011016,34640774
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370,6402623917,32383088
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380,9555770219,13139689
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390,4869651616,63823085
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400,3290294515,88759896
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410,8014783818,09708139
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420,4017204316,24484940
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430,8940481518,64011725
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440,8786829618,53970773
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450,1077213514,43035112
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460,3780305116,13128707
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470,7172328417,67865910
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480,2287769415,33150496
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490,8045121418,11309975
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500,6788422417,49957694
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510,7483329017,82815384
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520,0118682912,77227851
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530,6612951117,41922283
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540,0247347513,21605884
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550,5616035016,97210957
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560,9558071419,13369263
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570,7145552117,66599405
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580,4068486516,26913394
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590,5569705616,95148595
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600,0271937413,27969965
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610,0178138713,00747294
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620,7633462117,90215670
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630,1639017014,89873444
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640,6848863917,52744809
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650,6779530517,49548551
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660,7208330017,69573480
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670,1674971514,92507320
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680,8499144418,36478539
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690,1106376514,45805066
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700,2321923215,35226292
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710,9748245219,34879985
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720,6249076217,25469158
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730,7571758417,87157911
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740,9471667219,05100617
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750,6522161317,37793578
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760,6291613717,27380944
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770,4709781816,56581986
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780,0631537413,92590736
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790,7331934217,75479718
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800,0547151313,80441556
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810,4038458216,25492619
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820,2210653915,28401655
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830,1218780514,56062750
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840,1943288515,11192245
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850,5006392516,69982504
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860,7347346017,76221151
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870,8981945118,66824888
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880,2440002015,42281323
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890,6454485017,34727104
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900,0722334814,04468089
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910,4688646216,55621003
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920,6406735317,32568740
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930,0932068114,28467527
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940,0436021013,62244885
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950,3021392415,74745177