A New Start-up Demonstration Test
نویسندگان
چکیده
In this paper, we introduce and study a new acceptance / rejection rule suitable for use in start up demonstration tests. According to this rule, the equipment is accepted if k consecutive successes occur, while the equipment is rejected if two failures separated by at most 2 − r successes are observed. General formulae and analytic expressions are given for the probability mass function, the mean and the variance of the number of start-ups until the termination of the test. The distribution of the number of start-ups until the termination of the test with acceptance or rejection is also deduced. Finally, three inferential procedures for the estimation of the unknown probability of successful start-up are discussed.
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