Title: Bayesian sample size determination for product retesting after design change in Poisson distributed data
Authors: Swapnil D. Khorate; Digambar T. Shirke
Addresses: Department of Statistics, Shivaji University, Maharashtra, India ' Department of Statistics, Shivaji University, Maharashtra, India
Abstract: Many times, a design is changed after product validation testing in the real world. It occurs more frequently in the engineering field, which will create a problem of retesting the product with the original product specification without consideration of the degree and significance of the design change. As far as cost and resources are concerned, we have to find the minimum sample size for retesting the product. In this paper, we present a Bayesian method for determining sample size for retesting the redesigned product in Poisson distributed data via success-based testing prior. Numerical results of sample size for retesting the redesigned product are given. An example of paper pulp is provided.
Keywords: Bayesian analysis; retesting; gamma priors; redesign; Poisson distribution; sample size reduction.
International Journal of Reliability and Safety, 2018 Vol.12 No.4, pp.394 - 405
Received: 20 Oct 2017
Accepted: 04 Aug 2018
Published online: 03 Nov 2018 *