A New Probability Model Based on a Coherent System with Applications

Table 1

Simulation study of MLEs for the proposed model.

Parameter
		Bias	Var	MSE	CP	Bias	Var	MSE	CP
			25	0.021114	0.002115	0.002561	0.889	0.205723	2.193071	2.235393	0.919
	-0.03953	0.062169		0.063732	0.921	0.132916	0.690794	0.70846	0.911
	0.042505	0.008775		0.010581	0.941	0.000567	0.123177	0.123178	0.951
	0.116879	0.222573		0.236234	0.917	0.017071	0.095244	0.095535	0.917
	50	-0.008200	0.001106	0.001174	0.939	0.32076	0.617408	0.720295	0.929
		0.036686	0.05765	0.058996	0.942	0.044022	0.232803	0.234741	0.922
		0.015211	0.00755	0.007781	0.946	-0.1001	0.075348	0.085368	0.933
		0.122715	0.199639	0.214698	0.925	-0.12145	0.060964	0.075715	0.937
	100	-0.00087	0.001028	0.001028	0.949	-0.00044	0.15383	0.153830	0.942
		0.010637	0.01313	0.013243	0.952	0.12464	0.206504	0.222039	0.949
		-0.01046	0.001511	0.00162	0.948	-0.01268	0.075396	0.075557	0.967
		0.173295	0.114213	0.144244	0.955	-0.03226	0.054359	0.0554	0.951
	300	0.013048	0.00065	0.00082	0.959	0.082777	0.04763	0.054482	0.956
		0.010905	0.009139	0.009258	0.957	0.094535	0.114553	0.12349	0.955
		-0.00537	0.001055	0.001084	0.949	-0.06717	0.030705	0.035217	0.951
		0.151536	0.108245	0.131208	0.965	-0.04193	0.013846	0.015605	0.959
	500	0.002621	0.000482	0.000489	0.967	0.008584	0.049028	0.049102	0.959
		0.006849	0.001234	0.00128	0.977	-0.04306	0.063105	0.064959	0.966
		-0.00772	0.001023	0.001083	0.973	0.03503	0.020659	0.021886	0.972
		0.043243	0.083642	0.085512	0.962	0.004247	0.008681	0.008699	0.959