Marshall-Olkin Discrete Uniform Distribution

Table 1

Expectation and standard deviation (sd) with different “𝑎” and “𝜃” (𝜃<1) for 𝑋∼MODU(𝑎,𝜃).

𝑎	𝜃=0.133		𝜃=0.25		𝜃=0.5		𝜃=0.75
	𝐸(𝑋)	sd(𝑋)	𝐸(𝑋)	sd(𝑋)	𝐸(𝑋)	sd(𝑋)	𝐸(𝑋)	sd(𝑋)
10	2.597426	2.186733	3.358938	2.519965	4.375428	2.778938	5.026709	2.855936
12	2.995745	2.638189	3.919444	3.033456	5.145940	3.341060	5.930269	3.432611
15	3.597637	3.312588	4.762709	3.801608	6.302744	4.182802	7.286014	4.296371
20	4.606958	4.43258	6.171538	5.079024	8.232135	5.583787	9.546128	5.734303
25	5.620115	5.550024	7.582418	6.354713	10.16236	6.983619	11.80657	7.171237
30	6.635235	6.666144	8.994330	7.629531	12.09300	8.382876	14.06717	8.607673
50	10.70370	11.12519	14.64612	12.72530	19.81722	13.97760	23.11022	14.35143
75	15.79535	16.69483	21.71398	19.09236	29.47374	20.96928	34.41451	21.52963
100	20.88903	22.26307	28.78287	25.45854	39.13069	27.96038	45.71897	28.70733