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TWO STEP BAYESIAN ESTIMATION PROCEDURE TO PROCESS CAPABILITY
Keywords:
Bayesian estimation, conjugate prior, inverse gamma distribution, posterior distribution, process capability index.DOI:
https://doi.org/10.17654/0972086323009Abstract
The process capability index $C_p$ decides about the capability of an ongoing process in manufacturing. Bayesian literature reveals that the estimators of $C_p^2$ have inverse gamma (IG) distribution under normal model when variance has IG prior. In this paper, Bayesian estimators are proposed for $C_p$ when it has various priors. The properties of the proposed estimators are investigated. Metropolis-Hastings algorithm is utilized to establish the conjugacy of gamma distribution.
Received: April 27, 2023
Accepted: June 1, 2023
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