Estimation and Confidence Intervals of a New PCI for Logistic-Exponential Process Distribution

Table 2

Average estimates of different methods of estimation and the corresponding MSEs for LE distribution with true value of .

	Estimates of and corresponding MSEs
Sample size	MLE; MSE	LSE; MSE	WLSE; MSE	PCE; MSE	CME; MSE	MPSE; MSE	MDE; MSE	MLDE; MSE	ADE; MSE	RADE; MSE
, , ,
20	1.025881	1.034055	1.036051	1.023361	1.046793	1.025216	1.036768	1.036082	1.038867	1.038775
	0.001660	0.002651	0.001895	0.002259	0.002696	0.001581	0.002165	0.001946	0.002921	0.002699
50	1.026142	1.042598	1.045120	1.035420	1.048458	1.037592	1.045534	1.045186	1.045911	1.045822
	0.000639	0.000913	0.000691	0.001011	0.000786	0.000567	0.000748	0.000721	0.001164	0.001124
100	1.026748	1.046519	1.047701	1.040851	1.048984	1.048984	1.047769	1.047746	1.047868	1.047824
	0.000384	0.000686	0.000447	0.000714	0.000677	0.000241	0.000513	0.000494	0.000887	0.000834
, , ,
20	0.741886	0.732809	0.732933	0.732543	0.733337	0.732512	0.733889	0.733672	0.742344	0.742132
	50	0.741626	0.7329117	0.733004	0.7327142	0.733106	0.732725	0.737978	0.737862	0.748842	0.746732
100		0.741629	0.744074	0.743115	0.744139	0.743268	0.732940	0.743287	0.743236	0.744174	0.744164
	, , ,
20	1.084777	1.087469	1.085521	1.088017	1.087078	1.083222	1.085963	1.085884	1.088264	1.088155
	0.000504	0.000682	0.000529	0.000734	0.000627	0.000489	0.000604	0.000566	0.000814	0.000786
50	1.086602	1.088170	1.086690	1.088452	1.087896	1.085662	1.087442	1.087212	1.088284	1.088224
	0.000201	0.000417	0.000256	0.000449	0.000385	0.000161	0.000314	0.000288	0.000564	0.000512
100	1.091965	1.093589	1.092504	1.093751	1.093374	1.091564	1.092896	1.092764	1.094264	1.094077
	, , ,
20	0.734619	0.734746	0.734641	0.734763	0.734703	0.734429	0.734679	0.734668	0.734785	0.734778
	50	0.734666	0.734844	0.734774	0.734876	0.734812	0.734657	0.734796	0.734781	0.734884	0.734849
100		0.738505	0.734633	0.734567	0.734688	0.734585	0.734487	0.734541	0.734508	0.734759	0.734722