Statistical inference for a class of startup demonstration tests. Issue 3 (3rd July 2019)

• Record Type: Journal Article
• Authors: Eryilmaz, Serkan
• Is Part Of: Journal of quality technology. Volume 51:Issue 3(2019)
• Page Start: 314
• Page End: 324
• Publication Date: 2019-07-03
• Subjects: EM algorithm -- Markov chain -- maximum likelihood estimation -- phase-type distributions -- reliability; Quality control -- Periodicals; Qualité -- Contrôle -- Périodiques; Quality control; Quality control; Periodicals; 620.0045
• DOI: 10.1080/00224065.2019.1571334
• Languages: English
• ISSNs: 0022-4065

Abstract

Abstract: In this article, we develop a general statistical inference procedure for the probability of successful startup p in the case of startup demonstration tests when only the number of trials until termination of the experiment are observed. In particular, we define a class of startup demonstration tests and present expectation-maximization (EM) algorithm to get the maximum likelihood estimate of p for this class. Most of well-known startup testing procedures are involved in this class. Extension of the results to Markovian startups is also presented.