Bayesian Reliability Sampling Plans under the Conditions of Rayleigh-Inverse-Rayleigh Distribution
-
S. Kalaiselvi
,
A. Loganathan
Abstract
Reliability sampling plans are used to take decisions on the disposition of lots based on life testing of products. Such plans are developed taking into the consideration of relevant probability distributions of the lifetimes of the products under testing. When the quality of products varies over lots, then a predictive distribution of the lifetime should be used to design sampling plans. In this paper, designing of reliability single sampling plan based on the predictive distribution of the lifetime is considered. It is assumed that sampling inspection is carried out through life testing of products with hybrid censoring. The predictive distribution is obtained assuming that the probability distribution of the lifetime of the product is Rayleigh and the process parameter has an inverse-Rayleigh prior. Plan parameters are determined using hypergeometric, binomial and Poisson probabilities, providing protection to both producer as well as consumer.
©2014 Walter de Gruyter Berlin/Boston
Articles in the same Issue
- Frontmatter
- Acceptance Sampling Plans for Percentiles Assuming the Linear Failure Rate Distribution
- The Conditional Distribution of Waiting Time Given Queue Length
- Posterior Control Chart for Process Average under Conjugate Prior Distribution
- Bayesian Reliability Sampling Plans under the Conditions of Rayleigh-Inverse-Rayleigh Distribution
- Inferences of the Lifetime Performance Index with Lomax Distribution Based on Progressive Type-II Censored Data
- Acceptance Sampling Plan Based on Truncated Life Tests for Three Parameter Kappa Distribution
- Bhattacharrya and Kshirsagar Lower Bounds for the Natural Exponential Family (NEF)
- A Note on a Generalization of the Exponentiated Pareto Distribution
Articles in the same Issue
- Frontmatter
- Acceptance Sampling Plans for Percentiles Assuming the Linear Failure Rate Distribution
- The Conditional Distribution of Waiting Time Given Queue Length
- Posterior Control Chart for Process Average under Conjugate Prior Distribution
- Bayesian Reliability Sampling Plans under the Conditions of Rayleigh-Inverse-Rayleigh Distribution
- Inferences of the Lifetime Performance Index with Lomax Distribution Based on Progressive Type-II Censored Data
- Acceptance Sampling Plan Based on Truncated Life Tests for Three Parameter Kappa Distribution
- Bhattacharrya and Kshirsagar Lower Bounds for the Natural Exponential Family (NEF)
- A Note on a Generalization of the Exponentiated Pareto Distribution
