A New Lifetime Distribution: Properties, Copulas, Applications, and Different Classical Estimation Methods

Table 2

Simulation study where the parameters , and .

	n	α		θ		λ
		BIAS	RMSE	BIAS	RMSE	BIAS	RMSE
MLE	20	3.960664661	7.371292530	6.502976058	12.27860585	5.994434410	19.60201039
CVM		1.620584171	4.069729958	2.213270730	6.529766076	12.59993180	30.87329914
OLS		2.710178460	5.609086527	5.167076155	10.57746096	4.269781273	11.26286107
WLS		0.606986631	1.328889644	1.240119335	2.801331754	0.303093751	1.238119094
ADE		0.877995110	1.077412768	−1.63464215	1.761963513	0.438186918	0.623443953
ADE (R-T)		0.805406079	0.893762293	−1.64368531	1.709771020	0.467885067	0.699341007
MLE	60	0.490490730	1.308428645	0.795829577	2.486467250	0.682538359	2.697087211
CVM		0.225350690	1.215083979	0.201813532	2.282594960	2.660481953	7.613754145
OLS		0.690519124	2.090460467	1.195212075	3.941427479	1.765869927	6.040806374
WLS		0.601764048	1.247109825	1.289725679	2.611933294	-0.00644429	0.873971382
ADE		0.373785697	0.452084104	−2.16735411	2.181478121	0.423126388	0.611877218
ADE (R-T)		0.457139728	0.511691568	−2.12760556	2.139745408	0.42017769	0.547818729
MLE	100	0.018172775	0.507215114	−0.025370613	1.037306445	0.319774071	0.782082919
CVM		0.538024886	1.56715411	0.8451798220	2.808614624	2.721488864	10.63346516
OLS		0.244321092	0.908633723	0.4496964790	1.755602945	0.856444063	3.727821407
WLS		0.372181773	1.093968544	0.6547917990	2.093192893	0.296432069	1.102596681
ADE		0.299928998	0.363326475	−2.294706687	2.303336884	0.553574110	0.880204347
ADE (R-T)		0.299368704	0.357439216	−2.293811686	2.301440994	0.322106629	0.456459819
MLE	200	0.059490160	0.379563707	0.086240490	0.799301698	0.100750015	0.513932285
CVM		0.206137566	0.755763241	0.343870896	1.480081518	0.459569237	2.626198546
OLS		0.189569092	0.705969135	0.303683878	1.359136200	0.634967556	3.901570961
WLS		0.531225762	0.991440159	1.025489159	1.903738414	-0.14192911	0.631061741
ADE		0.150472878	0.210401078	−2.43351747	2.437339304	0.380366426	0.721144948
ADE (R-T)		0.171083470	0.238382214	−2.41188394	2.416440980	0.214422238	0.556727524
MLE	500	0.051955667	0.242120349	0.106991720	0.514449659	0.0088330000	0.288297422
CVM		0.016797852	0.343498639	−0.00934092	0.679792300	0.1496096990	0.459788656
OLS		-0.01498810	0.294877728	−0.03730224	0.609548552	0.1311953210	0.481402194
WLS		0.278499022	0.571907974	0.537259780	1.106740303	-0.10950015	0.406177306
ADE		0.092722301	0.159113157	−2.48691428	2.489745756	-0.13488436	0.375397440
ADE (R-T)		0.075620057	0.146911912	−2.50639867	2.508592698	-0.10385764	0.461934338