Markov's inequality: Sharpness, renewal theory, finite samples, reliability theory

DOI10.1080/03610926.2021.1977960OpenAlexW3201618625MaRDI QIDQ6107542

Mark Brown, Joel E. Cohen

Publication date: 3 July 2023

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2021.1977960

zbMATH Keywords

reliabilityrenewal theorymean residual lifeMarkov's inequalitysurvival curveChebyshev-Markov inequalitybienaymé's inequality

Mathematics Subject Classification ID

Statistics (62-XX)

Cites Work

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• Life distributions. Structure of nonparametric, semiparametric, and parametric families.
• EXPLOITING THE WAITING TIME PARADOX: APPLICATIONS OF THE SIZE-BIASING TRANSFORMATION
• Probability Inequalities Related to Markov's Theorem
• Markov's Inequality and Chebyshev's Inequality for Tail Probabilities: A Sharper Image

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