Start-Up Demonstration Tests with Rejection of Units upon Observing d Failures

Authors: Balakrishnan, N.¹; Chan, P.S.²

Source: Annals of the Institute of Statistical Mathematics, Volume 52, Number 1, 1 March 2000 , pp. 184-196(13)

Publisher: Springer

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Abstract:

The probability generating function of number of trials for the start-up demonstration test with rejection upon d failures is derived. The exact distribution of the number of trials is obtained. Some recurrence relations for the probabilities are also established. The average length of the test is derived. Some illustrative examples are finally presented.

Keywords: Probability generating function; runs; start-up demonstration test

Document Type: Regular paper

Affiliations: 1: Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1 2: Department of Statistics, The Chinese University of Hong Kong, Shatin, Hong Kong, China

Publication date: 2000-03-01