Bayesian Analysis of Operating Characteristic Curves of Single Sampling Plans by Attributes under Mixture of Two Binomial Distributions

Abstract

In the current scenario, manufacturing of products in single stream is not enough to meet the needs of consumers and in order to increase the production, two or more streams are required and the lots are formed from various streams. The production unit differs due to input raw materials, machineries, manpower and management, there may be inherent variation among the quality of the products manufactured from different streams. In this situation, the simple probability distribution is not appropriate and instead, finite mixture distribution is more appropriate. A finite mixture distribution is an appropriate probability distribution to study the product quality of such heterogeneous lots. In this paper, the operating characteristic (OC) function for Bayesian single sampling plans by attributes under the conditions of mixture of two binomial distributions is derived. The OC curves are drawn for different sets of parameters. Properties of the OC function with reference to the plan parameters are studied from the empirical analysis of the behaviour of the OC curves.

Keywords: Single sampling plan, mixture of two binomial distributions, operating characteristic function, producer quality level, consumer quality level, producer’s risk, consumer’s risk, prior distribution

Cite this Article

Saral M, Loganathan A, Muthu Krishnan P, et al. Bayesian Analysis of Operating Characteristic Curves of Single Sampling Plans by Attributes under Mixture of Two Binomial Distributions. Research & Reviews: Journal of Statistics. 2018; 7(1): 12s–23sp.