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

Table 2

Average empirical confidence level (1−𝛼) for 𝐶_𝐿 under MLE when 𝛼=0.05.

𝑛	𝑎=2,𝑏=5	𝑎=6,𝑏=1.5	𝑎=2,𝑏=2
5	0.93653 (0.00462)	0.93482 (0.00467)	0.93577 (0.00507)
10	0.93643 (0.00449)	0.93581 (0.00413)	0.93450 (0.00593)
15	0.93523 (0.00489)	0.93557 (0.00503)	0.93463 (0.00516)

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