Bayesian Estimation of Generalized Process Capability Indices

Table 6

Bayes estimates of 𝐶_𝑝𝑦 and their MSEs with 𝐿=0, 𝑈=8, samples generated from exponential distribution.

𝑚,𝐶𝑝𝑦∣𝑛	25	50	100	150
1	1.111106	1.111108	1.111109	1.111109
1.111111	1.083070×10^−10	1.415413×10^−11	3.215503×10^−12	1.502195×10^−16
4	1.082719	1.085116	1.086145	1.086548
1.087374	0.0002517306	0.0001037937	4.880645×10^−5	3.151035×10^−5
8	0.656013	0.6564953	0.6577742	0.658386
0.658386	0.007244622	0.003718803	0.001873888	0.001267805
10	0.3747645	0.3720029	0.3706492	0.3708838
0.3697996	0.006036498	0.003085871	0.001548111	0.001035829

In each, cell first row indicates the Bayes estimates of 𝐶_𝑝𝑦 and second row indicates its MSE.