Research Article

An Extended Cosine Generalized Family of Distributions for Reliability Modeling: Characteristics and Applications with Simulation Study

Table 8

The bias, MSE, CP, L.bound, and U.bound obtained from simulation of ECW model.

501.54.090129.9840.9264.87376.0543.510.3791159.9820.93277.221304.979
4.01.91799.6120.90124.588136.4234.04.041803.3600.90233.217249.300
2.50.1182.0900.931.2226.4482.00.0892.4080.892.4416.620
2.00.4221.9151.000.3604.9973.00.7123.8241.000.6727.870

1001.53.28681.1990.8931.86341.4353.511.3641155.2760.90197.695227.423
4.01.64860.9780.8870.67181.9684.03.941659.5010.88170.913186.795
2.50.2321.3330.950.3105.4582.00.2652.0660.921.0915.619
2.00.1070.5600.980.5653.6613.00.2361.4820.990.7405.832

2001.52.45741.9890.9216.48324.3983.56.050303.3600.9350.92870.028
4.01.44828.2880.8648.32359.2204.02.07761.7630.8857.58069.734
2.50.1590.6880.980.8304.5102.00.1690.8740.960.2204.343
2.00.0150.2300.960.9653.0653.00.0600.5820.991.3214.803

3001.52.15028.8570.9312.67319.9723.55.660191.6440.9434.47752.798
4.01.26727.0040.8538.65749.1914.01.36326.2290.8641.52852.254
2.50.1160.3880.981.1484.0872.00.1430.5920.960.4393.902
2.00.0000.1410.971.1482.8533.00.0340.4320.971.6084.460

5001.51.90621.8950.919.05415.8663.54.850149.7370.9325.29041.989
4.00.87720.2260.8228.66238.4174.01.19123.1630.8432.99743.380
2.50.0790.2290.971.4373.7222.00.0790.3500.970.6293.536
2.0−0.0070.0910.961.3292.6573.0−0.0300.2440.981.8744.066

10001.51.56014.9690.976.63612.7573.53.80890.1840.9816.40331.018
4.01.19823.4100.8124.17834.5744.01.11022.7870.8223.48333.704
2.50.0660.1150.981.7173.4142.00.0680.1460.981.1133.027
2.0−0.0230.0430.981.4922.4613.0−0.0250.1090.982.1823.769