The Distribution of the Kolmogorov–Smirnov, Cramer–von Mises, and Anderson–Darling Test Statistics for Exponential Populations with Estimated Parameters

DOI10.1080/03610910801983160zbMath1147.62308OpenAlexW4250460922MaRDI QIDQ3527770

Diane L. Evans, Lawrence M. Leemis, John H. Drew

Publication date: 30 September 2008

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610910801983160

zbMATH Keywords

order statisticsmaximum likelihood estimationgoodness-of-fit testsdistribution functionstransformation technique

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Parametric hypothesis testing (62F03) Exact distribution theory in statistics (62E15)

Related Items (13)

Asymptotic properties and expectation-maximization algorithm for maximum likelihood estimates of the parameters from Weibull-logarithmic model ⋮ The gamma generalized normal distribution: a descriptor of SAR imagery ⋮ Unnamed Item ⋮ A flexible generalization of the skew normal distribution based on a weighted normal distribution ⋮ A restricted gamma ridge regression estimator combining the gamma ridge regression and the restricted maximum likelihood methods of estimation ⋮ Odd-Burr generalized family of distributions with some applications ⋮ Plotting Likelihood-Ratio-Based Confidence Regions for Two-Parameter Univariate Probability Models ⋮ The modified Weibull geometric distribution ⋮ Toward the establishment of a family of distributions that may fit any dataset ⋮ The Topp-Leone generalized odd log-logistic family of distributions: properties, characterizations and applications ⋮ A review of goodness of fit tests for Pareto distributions ⋮ Performance of some ridge estimators for the gamma regression model ⋮ Tumor width on T1-weighted MRI images of glioblastoma as a prognostic biomarker: a mathematical model

Cites Work

• Computing the cumulative distribution function of the Kolmogorov-Smirnov statistic.
• Kolmogorov-Smirnov tests when parameters are estimated with applications to tests of exponentiality and tests on spacings
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Distribution of the Kolmogorov–Smirnov, Cramer–von Mises, and Anderson–Darling Test Statistics for Exponential Populations with Estimated Parameters