A Procedure for Selection of Single Sampling Plans by Variables Based on Inverse Gaussian Distribution

S. Geetha

Volume : V, Issue : XI, November - 2016

A Procedure for Selection of Single Sampling Plans by Variables Based on Inverse Gaussian Distribution

S. Geetha

Abstract :

Sampling inspection by variables is one of the major classifications of acceptance sampling and consists of procedures for taking decisions about the disposition of a lot of individual units based on sample measurements of units on a quality characteristic under study. Inspection procedures of this kind are defined in general under the condition that the quality characteristic, which is considered as a random variable, is measurable on a continuous scale and the functional form of the probability distribution of the random variable must be known. Several works in variable sampling plan have been done by many researchers under the assumption that the quality characteristics is modeled by a normal distribution and are found in the literature of acceptance sampling. However, the assumption of normality may not be often realized in practice and hence, it is quite inevitable to make an investigation about the properties of sampling inspection plans when the quality variables are modeled by non–normal distributions. In this paper a single sampling plan by variables is devised and evaluated under the assumption that the quality characteristic follows a Inverse Gaussian distribution. A procedure is developed for determining the parameters of the proposed plan when the requirements in terms of quality levels so as to provide protection to the producer and the consumer are specified.