Median Inactivity Time Function and its Reliability Properties

DOI10.1515/eqc.2010.018zbMath1247.90127OpenAlexW225780143MaRDI QIDQ2915342

Mohamed Kayid, Abd El-Fattah Mohamed Kandil, Mervat Mahdy

Publication date: 16 September 2012

Published in: Economic Quality Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/eqc.2010.018

zbMATH Keywords

convolutionseries systemslifetime distributionsincreasing mean inactivity time classincreasing median inactivity time classmedian inactivity time function

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Reliability, availability, maintenance, inspection in operations research (90B25) Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05)

Related Items (2)

Properties of the elasticity of a continuous random variable. A special look at its behavior and speed of change ⋮ Further results involving percentile inactivity time order and its inference

Cites Work

• Reversed preservation properties of some negative aging conceptions and stochastic orders
• Characterizations of the hazard rate order and IFR aging notion
• The observed total time on test and the observed excess wealth
• On risk dependence and mrl ordering
• Preservation of the location independent risk order under convolution
• SOME RESULTS ON REVERSED HAZARD RATE
• DISPERSION-TYPE VARIABILITY ORDERS
• Applications of the hazard rate ordering in reliability and order statistics
• Preservation of some likelihood ratio stochastic orders by order statistics
• Stochastic orders of the sums of two exponential random variables

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