Exponentially Generated Modified Chen Distribution with Applications to Lifetime Dataset

Table 2

Simulation study for EGMC distribution.

Sample size	Parameters	Estimates	Biasness	Variance	MSE
5	β	0.1713	−0.0287	0.012	0.013
	K	0.6237	0.3237	0.141	0.246
	λ	1.1954	0.7954	1.992	2.625
	S	12.5394	12.0394	533.144	678.092
10	β	0.280894	0.0808945	0.0007150	0.0072589
	K	0.068114	−0.2318858	0.0017425	0.0555135
	λ	0.522747	0.1227474	0.1423641	0.1574310
	S	0.362870	−0.1371298	0.0219349	0.0407395
15	β	0.214346	0.0143457	0.0021792	0.0023850
	K	0.287914	−0.0120858	0.0390955	0.0392416
	λ	0.672829	0.2728287	0.1852556	0.2596911
	S	0.679318	0.1793182	0.0864240	0.1185790
20	β	0.214598	0.0145978	0.0019183	0.0021314
	K	0.268409	−0.0315908	0.0184668	0.0194647
	λ	0.460113	0.0601127	0.0239420	0.0275556
	S	0.611566	0.1115664	0.0374533	0.0499004
25	β	0.199559	−0.0004415	0.0007246	0.0007248
	K	0.304595	0.0045946	0.0269611	0.0269822
	λ	0.547158	0.1471579	0.0126824	0.0343378
	S	0.599002	0.0990020	0.0208870	0.0306884
30	β	0.199638	−0.0003624	0.0016594	0.0016596
	K	0.354166	0.0541655	0.0365586	0.0394925
	λ	0.450366	0.0503662	0.0071476	0.0096844
	S	0.611024	0.1110236	0.0281597	0.0404859
35	β	0.203445	0.0034447	0.0002338	0.0002456
	K	0.285176	−0.0148241	0.0141166	0.0143364
	λ	0.487202	0.0872016	0.0151478	0.0227519
	S	0.531373	0.0313731	0.0046727	0.0056570
40	β	0.201502	0.0015015	0.0001629	0.0001651
	K	0.335847	0.0358470	0.0187665	0.0200515
	λ	0.444857	0.0448573	0.0103847	0.0123969
	S	0.541332	0.0413316	0.0028457	0.0045540
45	β	0.205167	0.0051670	0.0000495	0.0000762
	K	0.312382	0.0123821	0.0127784	0.0129317
	λ	0.428793	0.0287925	0.0068836	0.0077126
	S	0.538143	0.0381428	0.0041191	0.0055740
50	β	0.214585	0.0145849	0.0000446	0.0002573
	K	0.274680	−0.0253198	0.0207559	0.0213970
	λ	0.431196	0.0311963	0.0091943	0.0101675
	S	0.495276	−0.0047244	0.0019541	0.0019764
55	β	0.211972	0.0119724	0.0005555	0.0006988
	K	0.242762	−0.0572375	0.0197700	0.0230462
	λ	0.457445	0.0574451	0.0110922	0.0143921
	S	0.508782	0.0087824	0.0181023	0.0181794
60	β	0.205369	0.0053689	0.0006813	0.0007101
	K	0.291756	−0.0082437	0.0228865	0.0229545
	λ	0.449340	0.0493396	0.0180440	0.0204783
	S	0.542706	0.0427059	0.0213443	0.0231681
65	β	0.209262	0.0092617	0.0005194	0.0006052
	K	0.239025	−0.0609746	0.0187766	0.0224945
	λ	0.502227	0.1022273	0.0037510	0.0142015
	S	0.514289	0.0142891	0.0109054	0.0111095
70	β	0.211547	0.0115467	0.0003807	0.0005140
	K	0.227124	−0.0728760	0.0209029	0.0262138
	λ	0.507838	0.1078379	0.0063921	0.0180211
	S	0.503045	0.0030448	0.0099347	0.0099439
75	β	0.211490	0.0114898	0.0002288	0.0003609
	K	0.246249	−0.0537507	0.0147249	0.0176140
	λ	0.430925	0.0309247	0.0034540	0.0044104
	S	0.501292	0.0012920	0.0089441	0.0089458
80	β	0.212430	0.0124304	0.0001578	0.0003123
	K	0.229270	−0.0707295	0.0124339	0.0174365
	λ	0.464509	0.0645094	0.0071615	0.0113230
	S	0.499626	−0.0003744	0.0067773	0.0067774
85	β	0.214901	0.0149014	0.0001533	0.0003753
	K	0.251061	−0.0489395	0.0136089	0.0160040
	λ	0.395856	−0.0041445	0.0015089	0.0015261
	S	0.489312	−0.0106877	0.0067650	0.0068792
90	β	0.216428	0.0164283	0.0001707	0.0004406
	K	0.227604	−0.0723962	0.0148859	0.0201271
	λ	0.431185	0.0311850	0.0062951	0.0072676
	S	0.476394	−0.0236059	0.0071911	0.0077483
95	β	0.213985	0.0139850	0.0000657	0.0002613
	K	0.227602	−0.0723978	0.0127325	0.0179739
	λ	0.464126	0.0641258	0.0127330	0.0168452
	S	0.478173	−0.0218267	0.0031903	0.0036667
100	β	0.210518	0.0105181	0.0001064	0.0002170
	K	0.282820	−0.0171799	0.0179628	0.0182580
	λ	0.418992	0.0189918	0.0127201	0.0130808
	S	0.493453	−0.0065473	0.0033437	0.0033865
200	β	0.202282	0.0022815	0.0000349	0.0000401
	K	0.277753	−0.0222475	0.0089753	0.0094703
	λ	0.478029	0.0780293	0.0063246	0.0124131
	S	0.535234	0.0352336	0.0044893	0.0057307
500	β	0.198131	−0.0018686	0.0000873	0.0000908
	K	0.344009	0.0440091	0.0025124	0.0044492
	λ	0.368620	−0.0313799	0.0091554	0.0101401
	S	0.509545	0.0095452	0.0048733	0.0049645
1000	β	0.201294	0.0012945	0.0000722	0.0000739
	K	0.330686	0.0306855	0.0055191	0.0064607
	λ	0.360292	−0.0397083	0.0027592	0.0043359
	S	0.488960	−0.0110397	0.0018084	0.0019302

β = 0.2; K = 0.3; λ = 0.4; S = 0.5.