[Retracted] Statistical Inference and Mathematical Properties of Burr X Logistic-Exponential Distribution with Applications to Engineering Data

Table 7

Simulation results of the AVE, AVB, MSE, and MRE of BXLE distribution for .

n	Est.	Est. Par.	MLE	ADE	CVME	MPSE	LSE	PCE	WLSE
20	AVE		1.93468	2.02949	1.92525	1.88766	1.93247	1.87049	1.91932
			0.71610	0.72405	0.71885	0.71756	0.72157	0.71711	0.71864
			4.58878	3.56315	5.02440	3.97201	4.37834	3.55651	4.10333
	AVB		1.03764	0.96413	1.06606	1.00392	1.05027	1.05225	1.04019
			0.05603	0.05330	0.05959	0.06013	0.06046	0.06039	0.05869
			2.73667	1.77733	3.23614	2.28332	2.67764	1.83243	2.34900
	MSE		1.60674	1.36611	1.71018	1.59658	1.66744	1.60003	1.59770
			0.00514	0.00448	0.00546	0.00569	0.00558	0.00550	0.00527
			35.74006	16.09120	47.41465	26.43301	33.13628	14.69811	27.01181
	MRE		0.41506	0.38565	0.42642	0.40157	0.42011	0.42090	0.41608
			0.07471	0.07106	0.07946	0.08017	0.08061	0.08052	0.07825
			1.36834	0.88867	1.61807	1.14166	1.33882	0.91621	1.17450
30	AVE		2.07335	2.11612	2.00259	2.06720	1.92691	2.01205	2.00773
			0.72414	0.72853	0.72285	0.72763	0.71952	0.72425	0.72425
			3.31432	2.88686	3.82660	2.76187	3.84179	2.85758	3.23246
	AVB		0.89648	0.87194	0.97766	0.82608	1.03461	0.93578	0.95710
			0.04775	0.04680	0.05296	0.04633	0.05807	0.05184	0.05307
			1.48215	1.09070	2.02785	1.02366	2.08143	1.12326	1.47502
	MSE		1.20422	1.10883	1.45171	1.09246	1.57836	1.27435	1.34196
			0.00379	0.00352	0.00448	0.00352	0.00512	0.00420	0.00429
			11.76096	5.59121	19.43984	5.97968	19.49340	4.77205	10.10694
	MRE		0.35859	0.34878	0.39106	0.33043	0.41384	0.37431	0.38284
			0.06367	0.06240	0.07061	0.06177	0.07742	0.06912	0.07077
			0.74107	0.54535	1.01392	0.51183	1.04072	0.56163	0.73751
50	AVE		2.17426	2.20516	2.05871	2.15930	2.00776	2.03987	2.19373
			0.73060	0.73417	0.72631	0.73224	0.72417	0.72536	0.73278
			2.64343	2.51874	3.09799	2.40827	3.06424	2.56593	2.61239
	AVB		0.78267	0.76088	0.89548	0.72196	0.94080	0.86487	0.80352
			0.79162	0.71054	1.26072	0.66060	1.27875	0.76711	0.82421
			0.03975	0.03932	0.04529	0.03996	0.04997	0.04549	0.04171
	MSE		0.89336	0.84562	1.17762	0.86059	1.29162	1.06094	0.95492
			0.00260	0.00249	0.00330	0.00267	0.00388	0.00317	0.00285
			2.73791	1.90731	8.16773	1.58877	6.84234	1.77905	3.10024
	MRE		0.31307	0.30435	0.35819	0.28878	0.37632	0.34595	0.32141
			0.05300	0.05242	0.06039	0.05328	0.06663	0.06065	0.05561
			0.39581	0.35527	0.63036	0.33030	0.63937	0.38355	0.41210
100	AVE		2.25841	2.26598	2.18105	2.29193	2.16943	2.20190	2.28508
			0.73682	0.73771	0.73260	0.74043	0.73263	0.73487	0.73828
			2.28788	2.30145	2.48144	2.17275	2.45347	2.29386	2.29980
	AVB		0.66104	0.66707	0.77255	0.55686	0.78640	0.70841	0.66816
			0.03198	0.03297	0.03822	0.02917	0.03944	0.03547	0.03311
			0.44198	0.46307	0.64902	0.38714	0.63041	0.47545	0.46638
	MSE		0.60785	0.62747	0.84610	0.52706	0.86283	0.70227	0.63059
			0.00158	0.00170	0.00228	0.00142	0.00238	0.00192	0.00172
			0.45389	0.55123	1.32059	0.37179	1.10366	0.52812	0.63115
	MRE		0.26442	0.26683	0.30902	0.22274	0.31456	0.28336	0.26727
			0.04264	0.04397	0.05095	0.03890	0.05258	0.04729	0.04414
			0.22099	0.23154	0.32451	0.19357	0.31521	0.23772	0.23319
200	AVE		2.38319	2.36681	2.32689	2.38031	2.26972	2.26997	2.35139
			0.74284	0.74250	0.74039	0.74490	0.73778	0.73805	0.74156
			2.14738	2.16018	2.23583	2.07987	2.26382	2.18058	2.17066
	AVB		0.54258	0.56624	0.64209	0.39355	0.66561	0.58906	0.57429
			0.02548	0.02693	0.03106	0.02074	0.03193	0.02832	0.02726
			0.28846	0.31529	0.40522	0.24417	0.42483	0.32890	0.32415
	MSE		0.39884	0.43566	0.57162	0.31207	0.61496	0.47433	0.45050
			0.00097	0.00108	0.00146	0.00080	0.00152	0.00119	0.00111
			0.16655	0.21034	0.38818	0.13295	0.42311	0.21135	0.22558
	MRE		0.21703	0.22650	0.25683	0.15742	0.26624	0.23562	0.22972
			0.03397	0.03591	0.04141	0.02765	0.04257	0.03776	0.03635
			0.14423	0.15765	0.20261	0.12208	0.21242	0.16445	0.16208
400	AVE		2.46565	2.44224	2.38062	2.43642	2.37639	2.38323	2.40852
			0.74731	0.74643	0.74325	0.74681	0.74287	0.74408	0.74470
			2.06535	2.07995	2.14420	2.04099	2.14149	2.09305	2.10390
	AVB		0.42714	0.46076	0.56325	0.24706	0.54240	0.47087	0.48153
			0.01936	0.02167	0.02617	0.01321	0.02534	0.02215	0.02216
			0.20133	0.22996	0.30180	0.15109	0.29189	0.23358	0.24279
	MSE		0.24466	0.28492	0.41630	0.17369	0.40917	0.30357	0.31548
			0.00054	0.00067	0.00097	0.00041	0.00096	0.00071	0.00072
			0.07472	0.09483	0.18202	0.05741	0.17759	0.09695	0.11244
	MRE		0.17086	0.18430	0.22530	0.09883	0.21696	0.18835	0.19261
			0.02582	0.02889	0.03490	0.01762	0.03379	0.02953	0.02955
			0.10066	0.11498	0.15090	0.07554	0.14595	0.11679	0.12139