ABCDEFGHIJKLMNOPQRST
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RANDOM VARIABLE GENERATION
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PARAMETERSNON CENTRAL T STUDENT RANDOM VARIABLE GENERATIONHISTOGRAM PARAMETERSHISTOGRAM
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ParameterDomainValue#
Random1~U[0,1]
Random2~U[0,1]
X~NonCentralTStudent(lambda,n,loc,scale)[Not PPF]
MeasureValue#
Lower Bound
Upper Bound(LB+UB)/2
Absolute Frequency
Relative Frequency
Histogram Frequency
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lambdaR+210,369371270,5989015914,90460467Size1000015,98427,20026,592280,00080,000658
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nR+1520,970283800,4870803412,93959308Min5,984227,20028,41627,8082290,00290,002385
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locR1030,884435360,7787015614,60105001Max24,224538,41629,63239,02421100,01100,009046
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scaleR+240,837994800,2913938112,49618034Bins1549,632310,848310,24034150,04150,034128
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50,864038360,6993193114,26094680Range1,2160510,848312,064311,456310650,10650,087581
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MEASURES60,878234890,3775535012,82038711612,064313,280312,672319030,19030,156494
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MeasureData Measurements
Parametric Measurements
70,487224820,7006946815,19891483713,280314,496313,888321560,21560,177299
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Mean14,231314,214980,935360400,0792524010,93216459814,496315,712415,104318800,18800,154603
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Variance5,26245,311390,507844570,022247699,98085408915,712416,928416,320412850,12850,105672
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Standard Deviation2,29402,3046100,019645580,6479327817,548413151016,928418,144417,53646460,06460,053124
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Skewness0,00000,4478110,831526410,0364160110,356198531118,144419,360418,75242900,02900,023848
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Kurtosis0,00053,8403120,557705150,8618454016,151271391219,360420,576419,96841230,01230,010115
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Median14,0864complicated130,491947750,2379007712,642441391320,576421,792521,1845490,00490,004030
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Mode13,819complicated140,109714530,6909252316,543022741421,792523,008522,4005330,00330,002714
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150,735836440,9852441817,631394401523,008524,224523,616580,00080,000658
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DATA MOMENTS160,702113090,3143458912,81930315
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k
Non Central Moments - µ'[k]
Central Moments - µ[k]170,964078740,8750280714,76716460
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10,50150,0000180,027018800,4207016615,52698839
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20,33500,0835190,553075180,0537264410,77888307
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30,2514-0,0003200,345585810,3040051313,28131837
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40,20120,0125210,276747930,5450666914,84656003
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220,471723530,1778895412,23158248
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PARAMETRIC MOMENTS230,986649780,5970862113,19612768
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k
Non Central Moments - µ'[k]
Central Moments - µ[k]240,440323010,5325955014,38024796
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12,10750,0000250,097368510,8991161518,71025720
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25,76921,3278260,631376020,8595608615,92355079
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318,44030,6852270,119401060,4512092214,86346433
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467,65736,7708280,244727720,7380466716,17010981
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290,225053220,3975960814,12524822
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300,131902940,2360432713,27529891
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310,508492390,0270125410,14948142
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320,389337030,5913334614,81299677
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330,983255990,0499306810,51106865
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340,614905410,2336151912,46869506
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350,364337030,7075444615,56349336
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360,905979990,4417503913,02290355
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370,613093440,6806565514,79315206
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380,127073580,2297827513,23882474
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390,027950360,3518706114,95627717
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400,558816400,8120867615,74395559
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410,179095700,2623617713,34400604
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420,133518750,3257648013,95278787
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430,188651790,006481468,82028807
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440,207511350,9428138818,58763782
50
450,117299680,7258023316,75130526
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460,374047810,5736462114,75189784
52
470,542830600,1029614211,47420643
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480,605652770,9619464317,35006147
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490,705012480,1222452711,55230050
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500,969881090,3475147112,40441261
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510,884528830,4633993013,17170929
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520,991619630,4552378912,61955938
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530,412236060,7386350615,62918820
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540,158041420,5927676815,57607396
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550,939883370,0574651310,66555309
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560,064460850,8020991717,95742247
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570,306658890,4468506714,20676325
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580,781618900,4569239013,37087767
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590,610008850,0733428111,06644507
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600,453946500,7923088615,88337008
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610,427284120,7277716615,51801068
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620,196341940,3245887213,73806279
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630,670691240,7573712115,09439981
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640,591803800,2939993712,85865396
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650,316177940,7745001616,17390393
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660,567362580,3751043213,33415874
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670,392302000,2768675313,03266418
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680,970252860,0721794210,80718472
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690,703485740,0560021310,76312873
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700,624889430,3369067013,04789442
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710,989630930,6783944613,45714916
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720,134307910,8589389517,84541778
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730,677777910,8366942215,60949614
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740,823279620,5787539713,82008160
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750,288875690,4087656914,02879787
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760,395911780,1555291712,12230069
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770,541951150,0330848410,32645538
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780,505426180,9912474118,92873661
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790,507814030,1409160411,88282436
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800,180822770,8625871617,57048065
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810,954325020,4475153612,87503263
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820,112754980,6898808316,51252910
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830,585224900,9487399517,14317996
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840,123274800,6299726916,01557955
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850,885238000,1644943411,70084782
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860,700871530,2550856512,49550248
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870,066913010,5176675315,68489187
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880,508782870,8624593616,29799574
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890,381360540,3489172113,49113613
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900,021874320,7205184018,10927890
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910,158230540,2278492613,12866171
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920,432068100,5933756614,72395314
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930,123107940,7982456617,31604389
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940,216578030,5227577914,90441165
100
950,186778870,7575512616,57608898