gamma

	B	C	D	F	G	H	J	K	M	N	O	P	Q	R	S
1
2	RANDOM VARIABLE GENERATION
3
4	PARAMETERS			GAMMA RANDOM VARIABLE GENERATION			HISTOGRAM PARAMETERS		HISTOGRAM
5	Parameter	Domain	Value	#	Random~U[0,1]	X~Gamma(alpha,beta)	Measure	Value	#	Lower Bound	Upper Bound	(LB+UB)/2	Absolute Frequency	Relative Frequency	Histogram Frequency
6	alpha	R+	3	1	0,36937127	21,70520083	Size	10000	1	0,4249	9,5653	4,9951	730	0,0730	0,007987
7	beta	R+	10	2	0,97028380	69,96421976	Min	0,4249	2	9,5653	18,7056	14,1354	2203	0,2203	0,024102
8				3	0,88443536	51,11564362	Max	137,5300	3	18,7056	27,8459	23,2758	2402	0,2402	0,026279
9	MEASURES			4	0,83799480	46,05966907	Bins	15	4	27,8459	36,9863	32,4161	1943	0,1943	0,021257
10	Measure	Data Measurements	Parametric Measurements	5	0,86403836	48,70827012	Range	9,1403	5	36,9863	46,1266	41,5564	1189	0,1189	0,013008
11	Mean	29,6377	30,0000	6	0,87823489	50,34634385			6	46,1266	55,2669	50,6968	732	0,0732	0,008008
12	Variance	293,2450	300,0000	7	0,48722482	26,22582776			7	55,2669	64,4073	59,8371	363	0,0363	0,003971
13	Standard Deviation	17,1244	17,3205	8	0,93536040	59,41301992			8	64,4073	73,5476	68,9774	206	0,0206	0,002254
14	Skewness	1,2015	1,1547	9	0,50784457	27,06001711			9	73,5476	82,6879	78,1178	110	0,0110	0,001203
15	Kurtosis	5,1156	0,0667	10	0,01964558	5,63305337			10	82,6879	91,8283	87,2581	68	0,0068	0,000744
16	Median	26,5084	26,7406	11	0,83152641	45,45965247			11	91,8283	100,9686	96,3985	28	0,0028	0,000306
17	Mode	19,99709978	20,0000	12	0,55770515	29,15893996			12	100,9686	110,1090	105,5388	13	0,0013	0,000142
18				13	0,49194775	26,41538484			13	110,1090	119,2493	114,6791	9	0,0009	0,000098
19	DATA MOMENTS			14	0,10971453	11,49329495			14	119,2493	128,3896	123,8195	3	0,0003	0,000033
20	k	Non Central Moments - µ'[k]	Central Moments - µ[k]	15	0,73583644	38,29510030			15	128,3896	137,5300	132,9598	1	0,0001	0,000011
21	1	29,6377	0,0000	16	0,70211309	36,27617634
22	2	1171,6061	293,2157	17	0,96407874	67,43535073
23	3	58137,4341	6033,3289	18	0,02701880	6,37845484
24	4	3472076,5788	439904,8238	19	0,55307518	28,95846518
25				20	0,34558581	20,82293913
26	PARAMETRIC MOMENTS			21	0,27674793	18,27478613
27	k	Non Central Moments - µ'[k]	Central Moments - µ[k]	22	0,47172353	25,60949844
28	1	30,0000	0,0000	23	0,98664978	80,38152033
29	2	1200,0000	300,0000	24	0,44032301	24,38523153
30	3	60000,0000	6000,0000	25	0,09736851	10,88950093
31	4	3600000,0000	450000,0000	26	0,63137602	32,54607611
32				27	0,11940106	11,94864177
33				28	0,24472772	17,07385724
34				29	0,22505322	16,32422269
35				30	0,13190294	12,51654929
36				31	0,50849239	27,08651325
37				32	0,38933703	22,45039800
38				33	0,98325599	77,46966927
39				34	0,61490541	31,75242767
40				35	0,36433703	21,51805799
41				36	0,90597999	54,11244622
42				37	0,61309344	31,66654069
43				38	0,12707358	12,29958178
44				39	0,02795036	6,46432797
45				40	0,55881640	29,20724419
46				41	0,17909570	14,51560496
47				42	0,13351875	12,58851186
48				43	0,18865179	14,90018477
49				44	0,20751135	15,64507474
50				45	0,11729968	11,85108539
51				46	0,37404781	21,87929227
52				47	0,54283060	28,51922399
53				48	0,60565277	31,31666232
54				49	0,70501248	36,44258359
55				50	0,96988109	69,78556832
56				51	0,88452883	51,12751952
57				52	0,99161963	86,29003273
58				53	0,41223606	23,31269822
59				54	0,15804142	13,64716468
60				55	0,93988337	60,42098300
61				56	0,06446085	9,09683559
62				57	0,30665889	19,38412043
63				58	0,78161890	41,39399237
64				59	0,61000885	31,52095314
65				60	0,45394650	24,91273667
66				61	0,42728412	23,88501154
67				62	0,19634194	15,20601035
68				63	0,67069124	34,54691880
69				64	0,59180380	30,67693682
70				65	0,31617794	19,73598659
71				66	0,56736258	29,58123111
72				67	0,39230200	22,56153974
73				68	0,97025286	69,95041625
74				69	0,70348574	36,35480259
75				70	0,62488943	32,23066408
76				71	0,98963093	83,60026412
77				72	0,13430791	12,62354759
78				73	0,67777791	34,92578329
79				74	0,82327962	44,72277295
80				75	0,28887569	18,72553301
81				76	0,39591178	22,69704232
82				77	0,54195115	28,48178736
83				78	0,50542618	26,96126570
84				79	0,50781403	27,05876854
85				80	0,18082277	14,58550916
86				81	0,95432502	64,19205506
87				82	0,11275498	11,63781367
88				83	0,58522490	30,37798970
89				84	0,12327480	12,12682562
90				85	0,88523800	51,21790683
91				86	0,70087153	36,20529738
92				87	0,06691301	9,24275158
93				88	0,50878287	27,09840004
94				89	0,38136054	22,15205173
95				90	0,02187432	5,87248096
96				91	0,15823054	13,65511342
97				92	0,43206810	24,06804754
98				93	0,12310794	12,11919330
99				94	0,21657803	15,99754362
100				95	0,18677887	14,82522377