laplace

	B	C	D	F	G	H	J	K	M	N	O	P	Q	R	S
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2	RANDOM VARIABLE GENERATION
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4	PARAMETERS			LAPLACE RANDOM VARIABLE GENERATION			HISTOGRAM PARAMETERS		HISTOGRAM
5	Parameter	Domain	Value	#	Random~U[0,1]	X~Laplace(mu,b)	Measure	Value	#	Lower Bound	Upper Bound	(LB+UB)/2	Absolute Frequency	Relative Frequency	Histogram Frequency
6	mu	R	17	1	0,36937127	15,48597100	Size	10000	1	-36,0284	-29,7047	-32,8665	1	0,0001	0,000016
7	b	R+	5	2	0,97028380	31,11457821	Min	-36,0284	2	-29,7047	-23,3809	-26,5428	2	0,0002	0,000032
8				3	0,88443536	24,32389025	Max	58,8276	3	-23,3809	-17,0572	-20,2191	4	0,0004	0,000063
9	MEASURES			4	0,83799480	22,63489831	Bins	15	4	-17,0572	-10,7335	-13,8953	9	0,0009	0,000142
10	Measure	Data Measurements	Parametric Measurements	5	0,86403836	23,51117663	Range	6,3237	5	-10,7335	-4,4097	-7,5716	39	0,0039	0,000617
11	Mean	16,8866	17,0000	6	0,87823489	24,06257129			6	-4,4097	1,9140	-1,2479	197	0,0197	0,003115
12	Variance	48,9093	50,0000	7	0,48722482	16,87058782			7	1,9140	8,2377	5,0759	642	0,0642	0,010152
13	Standard Deviation	6,9935	7,0711	8	0,93536040	27,22890465			8	8,2377	14,5615	11,3996	2227	0,2227	0,035217
14	Skewness	0,0179	0,0000	9	0,50784457	17,07906756			9	14,5615	20,8852	17,7233	4707	0,4707	0,074434
15	Kurtosis	6,1676	6,0000	10	0,01964558	0,81622186			10	20,8852	27,2089	24,0471	1561	0,1561	0,024685
16	Median	16,9422	17,0000	11	0,83152641	22,43914535			11	27,2089	33,5327	30,3708	419	0,0419	0,006626
17	Mode	16,9997	17,0000	12	0,55770515	17,61315674			12	33,5327	39,8564	36,6945	143	0,0143	0,002261
18				13	0,49194775	16,91882202			13	39,8564	46,1801	43,0183	34	0,0034	0,000538
19	DATA MOMENTS			14	0,10971453	9,41636853			14	46,1801	52,5039	49,3420	14	0,0014	0,000221
20	k	Non Central Moments - µ'[k]	Central Moments - µ[k]	15	0,73583644	20,19019821			15	52,5039	58,8276	55,6657	1	0,0001	0,000016
21	1	16,8866	0,0000	16	0,70211309	19,58947086
22	2	334,0626	48,9044	17	0,96407874	30,16639426
23	3	7298,9858	6,1340	18	0,02701880	2,40962479
24	4	180156,1294	14753,6459	19	0,55307518	17,56108853
25				20	0,34558581	15,15316442
26	PARAMETRIC MOMENTS - ⚠️[No analytical formula] [∫Integration]			21	0,27674793	14,04249494
27	k	Non Central Moments - µ'[k]	Central Moments - µ[k]	22	0,47172353	16,70892490
28	1	17,1783	0,0000	23	0,98664978	35,11537610
29	2	341,7186	46,6258	24	0,44032301	16,36450241
30	3	7488,7626	16,7268	25	0,09736851	8,81947401
31	4	184133,6010	13350,7861	26	0,63137602	18,52415506
32				27	0,11940106	9,83939985
33				28	0,24472772	13,42769070
34				29	0,22505322	13,00864415
35				30	0,13190294	10,33729141
36				31	0,50849239	17,08565339
37				32	0,38933703	15,74918635
38				33	0,98325599	33,98283658
39				34	0,61490541	18,30559550
40				35	0,36433703	15,41735620
41				36	0,90597999	25,35550253
42				37	0,61309344	18,28212443
43				38	0,12707358	10,15079112
44				39	0,02795036	2,57910932
45				40	0,55881640	17,62573488
46				41	0,17909570	11,86656096
47				42	0,13351875	10,39816905
48				43	0,18865179	12,12647428
49				44	0,20751135	12,60288965
50				45	0,11729968	9,75061982
51				46	0,37404781	15,54887756
52				47	0,54283060	17,44777046
53				48	0,60565277	18,18688140
54				49	0,70501248	19,63837531
55				50	0,96988109	31,04727374
56				51	0,88452883	24,32793586
57				52	0,99161963	37,44358079
58				53	0,41223606	16,03494020
59				54	0,15804142	11,24124523
60				55	0,93988337	27,59160835
61				56	0,06446085	6,75724963
62				57	0,30665889	14,55563957
63				58	0,78161890	21,14183199
64				59	0,61000885	18,24242029
65				60	0,45394650	16,51685624
66				61	0,42728412	16,21420538
67				62	0,19634194	12,32624823
68				63	0,67069124	19,08806161
69				64	0,59180380	18,01430081
70				65	0,31617794	14,70848522
71				66	0,56736258	17,72354040
72				67	0,39230200	15,78711923
73				68	0,97025286	31,10937623
74				69	0,70348574	19,61256389
75				70	0,62488943	18,43693635
76				71	0,98963093	36,37890314
77				72	0,13430791	10,42763444
78				73	0,67777791	19,19683540
79				74	0,82327962	22,20019700
80				75	0,28887569	14,25694183
81				76	0,39591178	15,83291651
82				77	0,54195115	17,43816129
83				78	0,50542618	17,05455840
84				79	0,50781403	17,07875732
85				80	0,18082277	11,91454628
86				81	0,95432502	28,96528760
87				82	0,11275498	9,55304516
88				83	0,58522490	17,93435827
89				84	0,12327480	9,99903943
90				85	0,88523800	24,35873833
91				86	0,70087153	19,56867479
92				87	0,06691301	6,94392655
93				88	0,50878287	17,08860928
94				89	0,38136054	15,64568563
95				90	0,02187432	1,35352644
96				91	0,15823054	11,24722499
97				92	0,43206810	16,26987562
98				93	0,12310794	9,99226705
99				94	0,21657803	12,81671406
100				95	0,18677887	12,07658640