Bayesian Estimation of Generalized Process Capability Indices

Table 4

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

𝜆,𝐶𝑝𝑦∣𝑛	25	50	100	150
0.2	0.8907383	0.8867816	0.8883253	0.8875391
0.8867816	0.004669863	0.002447009	0.001263855	0.0008378543
0.5	1.086258	1.088331	1.089627	1.089983
1.090760	0.0003279872	0.0001522034	6.9765×10^−5	4.591931×10^−5
0.7	1.104586	1.105791	1.107002	1.106608
1.107002	4.531069×10^−5	1.691586×10^−5	6.925086×10^−5	4.192666×10^−5
1	1.10095	1.110440	1.110596	1.110646
1.110738	2.400033×10^−6	6.018572×10^−7	1.812796×10^−7	9.911838×10^−8

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