Designing Reliability Single Sampling Plans based on Exponentiated Rayleigh Distribution

Abstract

Reliability sampling plans are used in manufacturing industries to take decision on the disposition of lots of finished products based on the information obtained from concerned life test. Among various schemes, hybrid censoring scheme is applied with an objective of saving both time and cost of inspecting the products simultaneously. Parameters of the reliability sampling plans under hybrid censoring scheme are determined corresponding to the lifetime distribution. Exponential, Weibull, Rayleigh and log-normal distributions are some of the distributions often used in reliability and life testing. Exponentiated Rayleigh distribution is obtained by introducing a new parameter in the exponent of the cumulative distribution function of the Rayleigh distribution. Exponentiation enables to make a precise choice of the distribution. This paper attempts to design reliability (single) sampling plans under hybrid censoring scheme assuming that the life time of the product follows exponentiated Rayleigh distribution. Plan parameters are obtained corresponding to the specified points on the operating characteristic curve. Selection of the plan parameters is illustrated through numerical example.

Keywords: Reliability sampling plan, hybrid censoring, exponentiated Rayleigh distribution, producer’s risk, consumer’s risk

Cite this Article

Loganathan A, Gunasekaran M. Designing Reliability Single Sampling Plans based on Exponentiated Rayleigh Distribution. Research & Reviews: Journal of Statistics. 2018; 7(1): 36s–40sp.