Abstract #300443

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JSM 2003 Abstract #300443
Activity Number: 169
Type: Contributed
Date/Time: Monday, August 4, 2003 : 2:00 PM to 3:50 PM
Sponsor: Section on Quality & Productivity
Abstract - #300443
Title: Statistical Inference based on Start-up Demonstration Tests with Rejection of Units Upon Observing Failures
Author(s): Hon Keung Tony Ng*+ and Ping Shing Chan
Companies: Southern Methodist University and The Chinese University of Hong Kong
Address: Department of Statistical Science, Dallas, TX, 75275-0332,
Keywords: start-up demonstration test ; maximum likelihood estimator ; EM algorithm ; runs ; probability generating function
Abstract:

A start-up demonstration test with rejection of units will be introduced. It is a mechanism by which a vender demonstrates to a customer the reliability of a equipment with regard to its starting which requires a prespecified number of consecutive successful start-ups of an experiment for acceptance. By assuming that individual start-ups are independent events with a constant probability of a successful start-up in any single trial, the probability mass function of the number of failures and the expected number of failures for this start-up demonstration test with rejection will be derived. When the test result of each start-up is not reported, the estimation procedure based on likelihood method for the probability of a successful start-up is proposed. Some properties such as bias and variances of the estimator and some related statistical inferences are discussed.

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