A New Probability Model Based on a Coherent System with Applications

Table 2

Simulation study of MLEs for the proposed model.

Parameter
		Bias	Var	MSE	CP	Bias	Var	MSE	CP
			25	0.258307	1.685182	1.751905	0.929	-0.67831	1.260407	1.720518	0.828
	-0.105120	0.534711		0.545761	0.879	-0.0423	2.246578	2.248367	0.914
	0.077258	0.262241		0.268210	0.944	0.568665	0.643097	0.966477	0.953
	-0.008806	0.051804		0.051882	0.937	0.451302	1.185069	1.388742	0.913
	50	0.244534	1.407408	1.467205	0.938	-0.50457	0.917448	1.172044	0.927
		-0.101305	0.222697	0.232960	0.951	0.044837	1.742389	1.744399	0.942
		0.056540	0.110326	0.113523	0.947	0.394625	0.52356	0.679289	0.939
		0.048513	0.018310	0.020664	0.948	0.207914	0.215991	0.259219	0.932
	100	0.223024	1.346181	1.395921	0.956	-0.6562	0.544443	0.975047	0.949
		0.026269	0.196364	0.197054	0.953	-0.04021	1.638775	1.640392	0.942
		-0.059397	0.100119	0.103647	0.958	0.385053	0.402029	0.550295	0.968
		-0.012319	0.015320	0.015472	0.956	0.061853	0.037724	0.04155	0.953
	300	0.226485	0.818427	0.869723	0.961	-0.17858	0.232734	0.264625	0.959
		0.063117	0.082361	0.086345	0.958	-0.46086	1.023646	1.236038	0.959
		-0.002488	0.073408	0.073414	0.951	0.475944	0.226687	0.453209	0.962
		0.000355	0.012194	0.012194	0.963	-0.01319	0.00942	0.009594	0.965
	500	0.186137	0.582542	0.617189	0.975	-0.13091	0.106946	0.124083	0.963
		-0.088530	0.021287	0.029126	0.977	0.083023	0.818039	0.824932	0.961
		-0.064670	0.015944	0.020126	0.973	0.091008	0.13488	0.143163	0.971
		-0.005711	0.001958	0.001991	0.971	0.033865	0.005222	0.006369	0.958