Open AccessOn Sequential Probability Sampling Plan for a Truncated Life Tests Using Rayleigh Distribution
Author(s) -
Aminu Bello Zoramawa,
S. U. Gulumbe
Publication year - 2021
Publication title -
asian journal of probability and statistics
Language(s) - English
Resource type - Journals
ISSN - 2582-0230
DOI - 10.9734/ajpas/2021/v15i130339
Subject(s) - acceptance sampling , statistics , sampling (signal processing) , rayleigh distribution , sample (material) , mathematics , sample size determination , plan (archaeology) , probability distribution , product (mathematics) , computer science , probability density function , geography , chemistry , archaeology , filter (signal processing) , chromatography , computer vision , geometry
This paper proposed a sequential probability sampling plan for a truncated life test using a Rayleigh distribution from a designed double sampling plans where the interest was to obtain the minimum sample size necessary to assure that the average life time of a product is longer than the default life time at the specified consumer’s and producer’s confidence level. Estimations of minimum sample, acceptance and rejection numbers obtained are analyzed and presented to explain the usefulness of sequential plans in relation to single and double sampling plan. Probability of acceptance (Pa), Average sample number (ASN) and Average outgoing quality (AOQ) for the plans are computed. The three regions; acceptance, continue sampling and rejection were determined. The five points necessary to plot ASN curve were also computed and presented.