Marshall-Olkin Discrete Uniform Distribution

Table 2

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

𝑎	𝜃=1.33		𝜃=2		𝜃=4		𝜃=7.5
	𝐸(𝑋)	sd(𝑋)	𝐸(𝑥)	sd(𝑥)	𝐸(𝑥)	sd(𝑥)	𝐸(𝑥)	sd(𝑥)
10	5.97329	2.855936	6.62457	2.77893	7.64106	2.51996	8.40257	2.18673
12	7.06973	3.432611	7.85406	3.34106	9.08055	3.03345	10.0042	2.63818
15	8.71398	4.296371	9.69725	4.18280	11.2372	3.80160	12.4023	3.31258
20	11.4538	5.734303	12.7678	5.58378	14.8284	5.07902	16.3930	4.43258
25	14.1934	7.171237	15.8376	6.98361	18.4175	6.35471	20.3798	5.55002
30	16.9328	8.607673	18.9070	8.38287	22.0056	7.62953	24.3647	6.66614
50	27.8897	14.35143	31.1827	13.9776	36.3538	12.7253	40.2963	11.1251
75	41.5854	21.52963	46.5262	20.9692	54.2860	19.0923	60.2046	16.6948
100	55.2810	28.70733	61.86931	27.96038	72.21713	25.45854	80.11097	22.26307