Acceptance sampling plan for Marshall-Olkin extended Fréchet distribution

Author

Jose, K.K. ; Krishna, E. ; Ramkumar, T.B.

Author_Institution

Dept. of Stat., St. Thomas Coll., Pala, India

fYear

2011

fDate

14-17 Sept. 2011

Firstpage

195

Lastpage

199

Abstract

A new probability distribution called Marshall-Olkin extended Fréchet distribution is introduced and the properties of p.d.f and hazard function are discussed. An acceptance sampling plan is developed for the life time of a product following the new distribution. The minimum sample size required for inspection to arrive at a decision is obtained using binomial distribution at various levels of consumer´s risk. Ihe Poisson case is also discussed. The values of operating characteristic is evaluated. The minimum ratio of true mean life to required mean life is calculated. The result is verified for a simulated data.

Keywords

Poisson distribution; binomial distribution; consumer behaviour; planning; probability; Marshall-Olkin extended Frechet distribution; Poisson case; acceptance sampling plan; binomial distribution; consumer risk; probability distribution; Analytical models; Data models; Equations; Hazards; Random variables; Reliability engineering; Consumers risk; Marshall-Olkin Fréchet distribution; Operating characteristic function; Producers risk; Proportionate odds model; Reliability test plan;

fLanguage

English

Publisher

ieee

Conference_Titel

Quality and Reliability (ICQR), 2011 IEEE International Conference on

Conference_Location

Bangkok

Print_ISBN

978-1-4577-0626-4

Type

conf

DOI

10.1109/ICQR.2011.6031708

Filename

6031708