Orthogonal polynomials in the cumulative Ord family and its application to variance bounds

DOI10.1080/02331888.2017.1406940zbMath1453.60019arXiv1408.1849OpenAlexW2243394480MaRDI QIDQ5147570

Giorgos Afendras, Nickos Papadatos, Narayanaswamy Balakrishnan

Publication date: 27 January 2021

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1849

zbMATH Keywords

orthogonal polynomialsFourier coefficientsvariance boundsRodrigues-type formulacumulative Ord family

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Other special orthogonal polynomials and functions (33C47) Probabilistic methods for one variable harmonic analysis (42A61)

Related Items (4)

Non-local solvable birth-death processes ⋮ On infinite covariance expansions ⋮ First-order covariance inequalities via Stein's method ⋮ On rereading Stein's lemma: its intrinsic connection with Cramér-Rao identity and some new identities

Cites Work

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• Characterizations of distributions by variance bounds
• Density questions in the classical theory of moments
• Strengthened Chernoff-type variance bounds
• Moment identity for discrete random variable and its applications
• Systems of Polynomials Connected with the Charlier Expansions and the Pearson Differential and Difference Equations
• The Discrete Student's $t$ Distribution
• Univariate Discrete Distributions

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