Some Improvements on Markov's Theorem with Extensions

DOI10.1080/00031305.2018.1497539OpenAlexW2884238055WikidataQ129497668 ScholiaQ129497668MaRDI QIDQ5869282

Haruhiko Ogasawara

Publication date: 28 September 2022

Published in: The American Statistician (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00031305.2018.1497539

zbMATH Keywords

monotonic transformationsharpnessChebyshev's inequalitymultivariate kurtosisprobability inequalityCantelli's inequality

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (4)

Improvements of the Markov and Chebyshev inequalities using the partial expectation ⋮ The multiple Cantelli inequalities ⋮ The variance of the power of a shifted random variable with applications ⋮ Improved probability inequalities for Mardia's coefficient of kurtosis

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• A very simple proof of the multivariate Chebyshev's inequality
• Mathematical and Statistical Methods for Actuarial Sciences and Finance

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