On Sharp Jensen's Inequality and Some Unusual Applications

DOI10.1080/03610920903580988zbMath1304.60026OpenAlexW1985370657MaRDI QIDQ3006265

Nitis Mukhopadhyay

Publication date: 10 June 2011

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

Full work available at URL: https://doi.org/10.1080/03610920903580988

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Inequalities; stochastic orderings (60E15) Approximations to statistical distributions (nonasymptotic) (62E17) Sequential estimation (62L12)

Related Items

Bounds for the Jensen gap in terms of power means with applications ⋮ Stirling's formula for gamma functions, bounds for ratios of gamma functions, beta functions and percentiles of a studentized sample mean: a synthesis with new results ⋮ A new approach for the derivation of bounds for the Jensen difference ⋮ How sharp is the Jensen inequality? ⋮ An unusual application of Cramér-Rao inequality to prove the attainable lower bound for a ratio of complicated gamma functions

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