Start-Up Demonstration Tests Based on Run and Scan Statistics

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.

• EM Algorithm
• Markov Chain Embedding Technique
• Maximum-Likelihood Estimation
• Reliability Testing
• Waiting Time

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].