Improvements of the Markov and Chebyshev inequalities using the partial expectation

DOI10.1080/03610926.2019.1630438OpenAlexW2954112311WikidataQ127620574 ScholiaQ127620574MaRDI QIDQ5079024

Haruhiko Ogasawara

Publication date: 25 May 2022

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

Full work available at URL: https://doi.org/10.1080/03610926.2019.1630438

zbMATH Keywords

partial momentssemivariancessemicovariancespartial product momentthe multiple Chebyshev inequalitythe multivariate Markov inequality

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (1)

Generalizations of some concentration inequalities

Cites Work

• A unified approach to characterization problems using conditional expectations
• A Multivariate Tchebycheff Inequality
• Multivariate Pareto Distributions
• The echelon Markov and Chebyshev inequalities
• The multivariate Markov and multiple Chebyshev inequalities
• Probability Inequalities Related to Markov's Theorem
• Multivariate Chebyshev Inequalities
• Higher-Order Moments Using the Survival Function: The Alternative Expectation Formula
• Some Improvements on Markov's Theorem with Extensions
• A Remark on the Alternative Expectation Formula
• Markov's Inequality and Chebyshev's Inequality for Tail Probabilities: A Sharper Image
• A generalization of Markov's inequality
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