Journal of Probability and Statistics / 2013 / Article / Tab 1

Research Article

The Complementary Exponentiated Exponential Geometric Lifetime Distribution

Table 1

Mean of the MLEs, their deviances, coverages, bias and MSE.

Av Sd Bias MSE

(1.48, 3.10, 0.75) 20 (1.5716, 3.4497, 0.7522) (0.7890, 1.1204, 0.3327) (0.0916, 0.3497, 0.0022) (0.6247, 1.3651, 0.1096) (0.99, 0.99, 0.80)
50 (1.4902, 3.4026, 0.7145) (0.4478, 0.7103, 0.3066) (0.0102, 0.3026, −0.0355) (0.1987, 0.5911, 0.0943) (0.99, 0.99, 0.86)
100 (1.4765, 3.2589, 0.7233) (0.2683, 0.4964, 0.2494) (−0.0035, 0.1589, −0.0267) (0.0713, 0.2692, 0.0623) (0.99, 0.99, 0.91)
200 (1.4798, 3.1846, 0.7379) (0.2090, 0.3846, 0.2176) (−0.0002, 0.0846, −0.0121) (0.0433, 0.1536, 0.0470) (0.99, 0.99, 0.97)
500 (1.4725, 3.1617, 0.7361) (0.1584, 0.2977, 0.1811) (−0.0075, 0.0617, −0.0139) (0.0249, 0.0916, 0.0326) (0.99, 0.99, 0.99)
1000 (1.5020, 3.1116, 0.7697) (0.1061, 0.1832, 0.1321) (0.0220, 0.0116, 0.0197) (0.0116, 0.0334, 0.0177) (0.99, 0.99, 0.92)

(1.25, 2.63, 0.24) 20 (1.6389, 2.7783, 0.4016) (1.0305, 0.8411, 0.3342) (0.3889, 0.1483, 0.1616) (1.2026, 0.7224, 0.1367) (0.99, 0.99, 0.99)
50 (1.4826, 2.7004, 0.3459) (0.7378, 0.5976, 0.2589) (0.2326, 0.0704, 0.1059) (0.5930, 0.3586, 0.0776) (0.99, 0.99, 0.99)
100 (1.3892, 2.6563, 0.3046) (0.5549, 0.3699, 0.1893) (0.1392, 0.0263, 0.0646) (0.3242, 0.1362, 0.0396) (0.99, 0.99, 0.99)
200 (1.2869, 2.6143, 0.2729) (0.3339, 0.2520, 0.1229) (0.0369, −0.0157, 0.0329) (0.1117, 0.0631, 0.0160) (0.99, 0.99, 0.99)
500 (1.2609, 2.6029, 0.2497) (0.1980, 0.1444, 0.0632) (0.0109, −0.0271, 0.0097) (0.0389, 0.0214, 0.0041) (0.99, 0.99, 0.99)
1000 (1.2696, 2.6243, 0.2479) (0.1621, 0.1123, 0.0517) (0.0196, −0.0057, 0.0079) (0.0264, 0.0125, 0.0027) (0.99, 0.99, 0.99)

(0.25, 0.63, 0.20) 20 (0.3852, 0.6554, 0.4163) (0.2658, 0.2378, 0.3376) (0.1352, 0.0254, 0.2163) (0.0882, 0.0566, 0.1596) (0.92, 0.99, 0.99)
50 (0.2809, 0.6400, 0.2641) (0.1264, 0.1368, 0.1973) (0.0309, 0.0100, 0.0641) (0.0168, 0.0186, 0.0427) (0.99, 0.99, 0.99)
100 (0.2935, 0.6064, 0.2841) (0.1162, 0.0931, 0.1732) (0.0435, −0.0236, 0.0841) (0.0152, 0.0091, 0.0368) (0.99, 0.99, 0.99)
200 (0.2657, 0.6354, 0.2246) (0.0810, 0.0744, 0.1009) (0.0157, 0.0054, 0.0246) (0.0067, 0.0055, 0.0107) (0.99, 0.99, 0.99)
500 (0.2569, 0.6388, 0.2078) (0.0429, 0.0492, 0.0537) (0.0069, 0.0088, 0.0078) (0.0019, 0.0025, 0.0029) (0.99, 0.99, 0.99)
1000 (0.2536, 0.6313, 0.2044) (0.0307, 0.0303, 0.0339) (0.0036, 0.0013, 0.0044) (0.0009, 0.0009, 0.0012) (0.99, 0.99, 0.99)

(0.30, 0.60, 0.90) 20 (0.3258, 0.7817, 0.8033) (0.1165, 0.3750, 0.2751) (0.0258, 0.1817, −0.0967) (0.0141, 0.1723, 0.0843) (0.99, 0.99, 0.80)
50 (0.2813, 0.6879, 0.7639) (0.0658, 0.2013, 0.2639) (−0.0187, 0.0879, −0.1361) (0.0046, 0.0479, 0.0875) (0.99, 0.99, 0.85)
100 (0.2869, 0.6535, 0.8123) (0.0489, 0.1406, 0.2222) (−0.0131, 0.0535, −0.0877) (0.0025, 0.0224, 0.0566) (0.99, 0.99, 0.93)
200 (0.2905, 0.6325, 0.8364) (0.0343, 0.0921, 0.1553) (−0.0095, 0.0325, −0.0636) (0.0013, 0.0095, 0.0279) (0.99, 0.99, 0.97)
500 (0.3007, 0.6117, 0.8884) (0.0219, 0.0647, 0.1214) (0.0007, 0.0117, −0.0116) (0.0005, 0.0043, 0.0147) (0.99, 0.99, 0.97)
1000 (0.2970, 0.6053, 0.8821) (0.0184, 0.0455, 0.1003) (−0.0030, 0.0053, −0.0179) (0.0003, 0.0021, 0.0103) (0.99, 0.99, 0.98)

(0.50, 2.00, 0.40) 20 (0.5748, 2.3413, 0.4948) (0.2790, 0.8066, 0.3586) (0.0748, 0.3413, 0.0948) (0.0826, 0.7606, 0.1363) (0.99, 0.99, 0.99)
50 (0.6019, 2.0303, 0.5348) (0.2218, 0.4461, 0.2941) (0.1019, 0.0303, 0.1348) (0.0591, 0.1979, 0.1038) (0.99, 0.99, 0.99)
100 (0.5100, 2.0592, 0.4423) (0.1622, 0.3178, 0.2465) (0.0100, 0.0592, 0.0423) (0.0262, 0.1035, 0.0620) (0.99, 0.99, 0.99)
200 (0.5307, 2.0009, 0.4503) (0.1091, 0.2491, 0.1864) (0.0307, 0.0009, 0.0503) (0.0127, 0.0614, 0.0369) (0.99, 0.99, 0.99)
500 (0.5045, 1.9954, 0.4194) (0.0727, 0.1594, 0.1154) (0.0045, −0.0046, 0.0194) (0.0053, 0.0252, 0.0136) (0.99, 0.99, 0.99)
1000 (0.5051, 2.0072, 0.4034) (0.0493, 0.1002, 0.0598) (0.0051, 0.0072, 0.0034) (0.0024, 0.0100, 0.0036) (0.99, 0.99, 0.98)

(2.00, 0.25, 0.80) 20 (2.1599, 0.3199, 0.6131) (1.0176, 0.1112, 0.3449) (0.1599, 0.0699, −0.1869) (1.0508, 0.0171, 0.1527) (0.99, 0.99, 0.79)
50 (2.0826, 0.2743, 0.7193) (0.5220, 0.0528, 0.2874) (0.0826, 0.0243, −0.0807) (0.2766, 0.0033, 0.0883) (0.99, 0.99, 0.88)
100 (1.9984, 0.2629, 0.7519) (0.4419, 0.0418, 0.2711) (−0.0016, 0.0129, −0.0481) (0.1933, 0.0019, 0.0751) (0.99, 0.99, 0.87)
200 (2.0322, 0.2569, 0.7808) (0.3046, 0.0272, 0.2050) (0.0322, 0.0069, −0.0192) (0.0929, 0.0008, 0.0420) (0.99, 0.99, 0.97)
500 (1.9945, 0.2552, 0.7849) (0.1613, 0.0218, 0.1783) (−0.0055, 0.0052, −0.0151) (0.0258, 0.0005, 0.0317) (0.99, 0.99, 0.92)
1000 (1.9659, 0.2526, 0.7774) (0.1358, 0.0160, 0.1496) (−0.0341, 0.0026, −0.0226) (0.0194, 0.0003, 0.0227) (0.99, 0.99, 0.96)