On inverse moments of nonnegative random variables

DOI10.1016/S0167-7152(01)00008-6zbMath0991.60003OpenAlexW2030007315MaRDI QIDQ5952089

Nancy Lopes Garcia, José Luis Palacios

Publication date: 28 August 2002

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-7152(01)00008-6

zbMATH Keywords

approximation by inverse of the momentsinverse moments

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Probability distributions: general theory (60E05)

Related Items (18)

Approximations to inverse moments of double-indexed weighted sums ⋮ The inverse moment for widely orthant dependent random variables ⋮ Probability inequalities for END sequence and their applications ⋮ Bernstein-type inequality for weakly dependent sequence and its applications ⋮ On asymptotic approximation of inverse moments for a class of nonnegative random variables ⋮ Moment Inequalities for $m$-NOD Random Variables and Their Applications ⋮ On inverse moments for a class of nonnegative random variables ⋮ On the asymptotic approximation of inverse moment under sub-linear expectations ⋮ Asymptotic approximations of random ratio model based on AANA sequences ⋮ On asymptotic approximation of ratio models for weakly dependent sequences ⋮ On Fatou-type lemma for monotone moments of weakly convergent random variables. ⋮ A note on the inverse moments for nonnegative \(\rho\)-mixing random variables ⋮ Approximation to the moments of ratios of cumulative sums ⋮ A Note on the Inverse Moment for the Non Negative Random Variables ⋮ Exponential inequalities and inverse moment for NOD sequence ⋮ A note on asymptotic approximations of inverse moments of nonnegative random variables ⋮ Flexible $M/G/1$ queueing system with state dependent service rate ⋮ Asymptotic approximation of inverse moments of nonnegative random variables

Cites Work

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• Sharp mean-variance bounds for Jensen-type inequalities
• On the Cheney and Sharma operator
• The Moment-Generating Function and Negative Integer Moments
• Bounds on Negative Moments
• Asymptotic Statistics
• Asymptotic Eulerian expansions for binomial and negative binomial reciprocals
• Negative Moments of Positive Random Variables
• The Expected Value and Variance of the Reciprocal and Other Negative Powers of a Positive Bernoullian Variate

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