Moment-Based Approximations of Probability Mass Functions with Applications Involving Order Statistics

DOI10.1080/03610920902835052zbMath1167.62017OpenAlexW2014936426MaRDI QIDQ3391841

Min Jiang, Serge B. Provost, Hyung-Tae Ha

Publication date: 13 August 2009

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

Full work available at URL: https://doi.org/10.1080/03610920902835052

zbMATH Keywords

momentstablesorder statisticsdiscrete distributionscomputational statisticsapproximate distributionsrank-sum statistics

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Order statistics; empirical distribution functions (62G30) Approximations to statistical distributions (nonasymptotic) (62E17)

Related Items (4)

Moment-Based Approximations of Discrete Probability Distributions Using Rational Functions ⋮ A moment generating function of a combination of linear rank tests and its asymptotic efficiency ⋮ The generalized Pearson family of distributions and explicit representation of the associated density functions ⋮ The modified mood test for the scale alternative and its numerical comparisons

Cites Work

• Rank-Sum Tests for Dispersions
• On the Continuity Correction
• A Viable Alternative to Resorting to Statistical Tables
• The continuity correction
• On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other
• On the Normal Approximation to the Binomial Distribution

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