Mixture of Lindley and Lognormal Distributions: Properties, Estimation, and Application

Table 3

MLEs for the MLLND parameters with their averages, biases, MSEs, and CIs.

(0.50, 0.95, 0.25, 0.25)		30	0.42098178	1.3880892	0.26007314	0.26373918
			-0.0790180	0.4380890	0.01007314	0.01373918
			0.04314494	2.4538343	0.01261492	0.01984133
			(0.06875, 0.71539)	(0.63975, 4.21360)	(0.09383, 0.43337)	(0.09522, 0.49725)
			(0.02500, 0.76579)	(0.57416, 7.27137)	(0.05603, 0.47826)	(0.06583, 0.57054)
		50	0.45201752	1.1532198	0.256110576	0.256695006
			-0.04798248	0.2032198	0.006110576	0.006695006
			0.02578189	1.0242892	0.006485839	0.009521935
			(0.16097, 0.68077)	(0.71706, 1.71599)	(0.12595, 0.38932)	(0.12420, 0.43820)
			(0.09463, 0.72194)	(0.66882, 3.49642)	(0.09611, 0.41885)	(0.10079, 0.49013)
		75	0.47460679	1.02075786	0.253259473	0.252181908
			-0.02539321	0.07075786	0.003259473	0.002181908
			0.01564727	0.28849904	0.00414685	0.0054144
			(0.26408, 0.66297)	(0.76299, 1.25958)	(0.14861, 0.35969)	(0.14830, 0.38325)
			(0.19820, 0.69821)	(0.72714,1.46520)	(0.12957,0.38270)	(0.12761,0.42832)
		100	0.47989155	0.98821225	0.252882986	0.251725793
			-0.02010845	0.03821225	0.002882986	0.001725793
			0.01101642	0.13257566	0.002925308	0.003657510
			(0.30911, 0.64102)	(0.79201, 1.18252)	(0.16472, 0.34125)	(0.16431, 0.35621)
			(0.26617, 0.67108)	(0.76341, 1.26408)	(0.14856, 0.36121)	(0.14669, 0.38801)
(0.50, 2.95, 0.85, 0.25)		30	0.51085594	3.1659382	0.854910354	0.244567051
			0.01085594	0.2159382	0.004910354	-0.00543290
			0.01287378	1.3430948	0.051054250	0.032862658
			(0.33493, 0.69426)	(1.65368, 5.12052)	(0.71319, 0.98390)	(0.13525, 0.33944)
			(0.30361, 0.73304)	(1.44724, 5.71634)	(0.67448, 1.01376)	(0.11017, 0.33944)
		50	0.507576054	3.0707105	0.852470382	0.240278966
			0.007576054	0.1207105	0.002470382	-0.00972100
			0.007065907	0.6709617	0.010009987	0.004340029
			(0.37350, 0.64665)	(1.89865, 4.48536)	(0.74975, 0.95241)	(0.16456, 0.31975)
			(0.35033, 0.67656)	(1.71581, 4.85850)	(0.72685, 0.97424)	(0.14466, 0.33891)
		75	0.505553756	3.02406667	0.8505206847	0.24284061
			0.005553756	0.07406667	0.0005206847	-0.00715939
			0.004523098	0.40053500	0.002560209	0.002114857
			(0.39807, 0.61738)	(1.94383, 4.39174)	(0.77062, 0.93072)	(0.18319, 0.30590)
			(0.37909, 0.63999)	(2.08437, 4.12198)	(0.75182, 0.94835)	(0.17228, 0.32117)
		100	0.502508608	2.99851936	0.8507297408	0.24475867
			0.002508608	0.04851936	0.0007297408	-0.0052413
			0.003210267	0.27651139	0.001779217	0.00108009
			(0.41022, 0.59639)	(2.20464, 3.91893)	(0.78248, 0.91894)	(0.19393, 0.29928)
			(0.39236, 0.61599)	(2.08727, 4.15153)	(0.76705, 0.93227)	(0.18413, 0.31123)