On the Alpha Power Transformed Power Lindley Distribution

Table 4

MSEs and ABs of the APTPL distribution.

n	Methods	Properties	set1≡(α=1.5, θ=0.5, β=0.5)			set2≡(α=2, θ=0.5, β=0.8)			set3≡(α=0.5, θ=1.5, β=1.25)			set4≡(α=0.5, θ=1.5, β=1.75)
			α	θ	β	α	θ	Β	α	θ	β	α	θ	β
10	ML	MSE	0.463	0.250	0.503	0.370	0.508	0.656	0.236	2.036	1.563	0.510	2.250	0.941
		AB	0.547	0.500	0.704	0.580	0.707	0.800	0.486	1.427	1.250	0.645	1.500	0.948
	MPS	MSE	0.230	0.160	0.250	0.202	0.247	0.640	0.118	0.573	1.546	0.250	0.845	0.940
		AB	0.466	0.387	0.500	0.375	0.476	0.797	0.318	0.725	1.241	0.500	0.917	0.924
	LS	MSE	2.250	1.398	0.546	0.402	0.868	0.659	1.195	2.480	2.548	2.095	2.681	1.391
		AB	1.000	2.304	1.444	0.308	1.790	0.999	1.695	0.702	0.661	2.115	0.434	0.260
	WLS	MSE	2.249	1.510	0.521	0.412	0.915	0.660	1.295	2.394	2.282	2.406	2.610	1.666
		AB	1.000	2.425	1.413	0.312	1.855	1.000	1.806	0.757	0.673	2.315	0.534	0.254
20	ML	MSE	0.326	0.250	0.480	0.361	0.514	0.647	0.131	2.034	1.543	0.455	2.250	0.933
		AB	0.510	0.500	0.690	0.591	0.712	0.797	0.362	1.426	1.248	0.629	1.500	0.932
	MPS	MSE	0.213	0.147	0.250	0.163	0.239	0.637	0.114	0.556	1.562	0.250	0.710	0.740
		AB	0.455	0.375	0.500	0.355	0.473	0.473	0.694	1.497	1.240	0.500	0.840	0.828
	LS	MSE	2.249	1.345	0.523	0.384	0.887	0.658	0.971	2.205	1.013	1.515	2.532	1.235
		AB	1.000	2.240	1.414	0.310	1.884	1.000	1.689	0.850	0.533	2.067	0.497	0.275
	WLS	MSE	2.247	1.400	0.483	0.411	0.901	0.659	1.227	2.186	1.015	2.036	2.495	1.122
		AB	1.000	2.336	1.358	0.314	1.722	1.000	1.937	0.928	0.586	2.416	0.754	0.105
30	ML	MSE	0.298	0.245	0.250	0.360	0.506	0.640	0.121	2.014	1.562	0.451	2.249	0.920
		AB	0.512	0.499	0.693	0.589	0.707	0.798	0.348	1.419	0.284	0.632	1.500	0.949
	MPS	MSE	0.212	0.128	0.244	0.157	0.235	0.636	0.079	0.345	1.542	0.250	0.696	0.721
		AB	0.450	0.348	0.497	0.345	0.473	0.800	0.149	0.461	1.243	0.500	0.831	0.824
	LS	MSE	2.249	1.258	0.490	0.370	0.789	0.649	0.899	2.133	0.990	1.225	2.444	1.148
		AB	1.000	2.138	1.365	0.302	1.777	0.988	1.672	0.848	0.523	1.989	0.489	0.298
	WLS	MSE	2.249	1.248	0.450	0.410	0.821	0.650	1.195	2.184	0.805	1.857	2.187	1.120
		AB	1.000	2.219	1.332	0.312	1.712	0.997	2.011	0.968	0.586	0.020	0.886	2.459
100	ML	MSE	0.494	0.249	0.372	0.318	0.339	0.639	0.101	1.971	1.561	0.368	2.248	0.661
		AB	0.449	0.499	0.601	0.482	0.567	0.799	0.318	1.404	1.241	0.597	1.499	0.811
	MPS	MSE	0.214	0.125	0.243	0.156	0.233	0.634	0.028	0.036	1.541	0.245	0.589	0.591
		AB	0.453	0.342	0.211	0.344	0.471	0.629	0.119	0.048	1.213	0.486	0.765	0.757
	LS	MSE	2.248	1.147	1.147	0.368	0.769	0.640	0.774	2.116	0.892	1.130	2.067	0.664
		AB	1.000	2.000	1.256	0.308	1.769	0.977	1.663	0.742	0.519	2.058	0.763	0.197
	WLS	MSE	2.249	1.142	0.430	0.391	0.713	0.642	1.128	2.117	0.643	1.894	2.180	0.747
		AB	1.000	2.381	1.351	0.307	1.231	0.642	2.002	0.953	0.518	2.665	0.977	0.734