Abstract
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 r — 2 successes are observed. General formulas 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 is also deduced. Finally, three inferential procedures for the estimation of the unknown successful start-up probability are examined.
Additional information
Notes on contributors
Demetrios L. Antzoulakos
Dr. Antzoulakos is Associate Professor in the Department of Statistics and Insurance Science. His email address is [email protected].
Markos V. Koutras
Dr. Koutras is Professor in the Department of Statistics and Insurance Science. His email address is [email protected].
Athanasios C. Rakitzis
Mr. Rakitzis is a Phd Student in the Department of Statistics and Insurance Science. His email address is [email protected].