Start-up demonstration tests under Markov dependence model with corrective actions
type: Item
instance of: scholarly article
title: Start-up demonstration tests under Markov dependence model with corrective actions
zbMATH Open document ID: 0890.62075
DOI: 10.1023/A:1003122908057
published in: Annals of the Institute of Statistical Mathematics
publication date: 1998-06-22T00:00:00Z
review text: A start-up demonstration test is a mechanism by which a vender demonstrates to a customer the reliability of an equipment with regard to its starting. The vender repeats start-ups of the equipment until a specified number of consecutive successful start-ups are observed. A general probability model for a start-up demonstration test is studied. The joint probability generating function of some random variables appearing in the Markov dependence model of the start-up demonstration test with corrective actions is derived by the method of probability generating function. By using the probability generating function, several characteristics relating to the distribution are obtained.
Mathematics Subject Classification ID: 62N05
Mathematics Subject Classification ID: 60J20
zbMATH DE Number: 1078762
zbMATH Keywords: discrete distributions
zbMATH Keywords: run
zbMATH Keywords: Markov chain
zbMATH Keywords: waiting time
zbMATH Keywords: start-up demonstration tests
zbMATH Keywords: joint probability generating function
author: Narayanaswamy Balakrishnan
author: S. G. Mohanty
author: Sigeo Aki
MaRDI profile type: Publication
full work available at URL: a:1003122908057
OpenAlex ID: W1969883703
description: scientific article; zbMATH DE number 1078762