Evaluating the Lifetime Performance Index Based on the Bayesian Estimation for the Rayleigh Lifetime Products with the Upper Record Values

Table 5

Average empirical credible level (1−𝛼) for 𝐶_𝐿 under GE loss function when 𝛼=0.05.

𝑛	𝑞	𝑎=2,𝑏=5	𝑎=6,𝑏=1.5	𝑎=2,𝑏=2
	3	0.94357 (0.00386)	0.93760 (0.00386)	0.93925 (0.00395)
5	5	0.94357 (0.00386)	0.93760 (0.00386)	0.93925 (0.00395)
	8	0.94357 (0.00386)	0.93760 (0.00386)	0.93925 (0.00395)
	3	0.94244 (0.00359)	0.93704 (0.00359)	0.93664 (0.00462)
10	5	0.94244 (0.00359)	0.93704 (0.00359)	0.93664 (0.00462)
	8	0.94244 (0.00359)	0.93704 (0.00359)	0.93664 (0.00462)
	3	0.94096 (0.00346)	0.93619 (0.00426)	0.93635 (0.00467)
15	5	0.94096 (0.00346)	0.93619 (0.00426)	0.93635 (0.00467)
	8	0.94096 (0.00346)	0.93619 (0.00426)	0.93635 (0.00467)

𝑛 denotes the sample size; the values in parentheses are sample mean square error of (1−𝛼).