On the behavior of the failure rate and reversed failure rate in engineering systems
Autor: | Mahdi Tavangar |
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Rok vydání: | 2020 |
Předmět: |
Statistics and Probability
021103 operations research General Mathematics Cumulative distribution function Order statistic 0211 other engineering and technologies Failure rate 02 engineering and technology 01 natural sciences Stochastic ordering 010104 statistics & probability System failure Statistics 0101 mathematics Statistics Probability and Uncertainty Random variable Reliability (statistics) Mathematics |
Zdroj: | Journal of Applied Probability. 57:899-910 |
ISSN: | 1475-6072 0021-9002 |
Popis: | In this paper the behaviour of the failure rate and reversed failure rate of an n-component coherent system is studied, where it is assumed that the lifetimes of the components are independent and have a common cumulative distribution function F. Sufficient conditions are provided under which the system failure rate is increasing and the corresponding reversed failure rate is decreasing. We also study the stochastic and ageing properties of doubly truncated random variables for coherent systems. |
Databáze: | OpenAIRE |
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