Jacobi and Laguerre polynomial approximations for the distributions of statistics useful in testing for outliers in exponential and gamma samples

DOI10.1080/00949655.2010.542549zbMath1431.62209OpenAlexW2013750790MaRDI QIDQ4913962

Deepak Sanjel, Narayanaswamy Balakrishnan

Publication date: 17 April 2013

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949655.2010.542549

zbMATH Keywords

momentsoutliersexponential distributiongamma distributiondiscordancy testLaguerre polynomial approximantsJacobi polynomial approximants

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30)

Related Items (1)

On the three-component mixture of exponential distributions: a Bayesian framework to model data with multiple lower and upper outliers

Cites Work

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• The special functions and their approximations. Vol. I, II
• Two Notes on Notation
• A Laguerre polynomial approximation for a goodness-of-fit test for exponential distribution based on progressively censored data
• Tests for a Single Outlier in a Gamma Sample with Unknown Shape and Scale Parameters
• The Null Distribution of a Test for Two Upper Outliers in an Exponential Sample
• Variances and covariances of order statistics from the gamma distribution
• Tests for One or Two Outliers in Normal Samples with Unknown Variance
• Order Statistics from the Gamma Distribution

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