An application of time truncated single acceptance sampling inspection plan based on transmuted Rayleigh distribution

TL;DR

This paper develops a single acceptance sampling inspection plan based on the transmuted Rayleigh distribution for lifetime testing with truncated data, providing a method to determine sample size, OC values, and risks.

Contribution

It introduces a novel SASIP tailored for transmuted Rayleigh distribution with truncated lifetime data, including sample size determination and risk analysis.

Findings

Minimum sample size for specified lifetime is derived.

OC values and producer’s risk are calculated for the proposed plan.

Two real-life examples demonstrate the plan's applicability.

Abstract

In this paper, we introduce single acceptance sampling inspection plan (SASIP) for transmuted Rayleigh (TR) distribution when the lifetime experiment is truncated at a prefixed time. Establish the proposed plan for different choices of confidence level, acceptance number and ratio of true mean lifetime to specified mean lifetime. Minimum sample size necessary to ensure a certain specified lifetime is obtained. Operating characteristic(OC) values and producer's risk of proposed plan are presented. Two real life example has been presented to show the applicability of proposed SASIP.