Goodness-of-fit tests for a heavy tailed distribution

DOI10.1016/j.jspi.2008.02.013zbMath1146.62033OpenAlexW2112038086MaRDI QIDQ951056

Alex J. Koning, Liang Peng

Publication date: 29 October 2008

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: http://repub.eur.nl/pub/7031

zbMATH Keywords

heavy tailstail indexBahadur efficiency

Mathematics Subject Classification ID

Related Items (10)

Tail product-limit process for truncated data with application to extreme value index estimation ⋮ Bayesian estimation of the tail index of a heavy tailed distribution under random censoring ⋮ Unnamed Item ⋮ Goodness-of-fit tests for a heavy tailed distribution ⋮ An improved method for forecasting spare parts demand using extreme value theory ⋮ On Tests for Distinguishing Distribution Tails ⋮ Goodness-of-fit testing for Weibull-type behavior ⋮ Review of testing issues in extremes: in honor of Professor Laurens de Haan ⋮ On a Minimum Distance Procedure for Threshold Selection in Tail Analysis ⋮ Gaussian approximation to the extreme value index estimator of a heavy-tailed distribution under random censoring

Cites Work

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• Goodness-of-fit tests for a heavy tailed distribution
• Some test statistics based on the martingale term of the empirical distribution function
• Large deviations of goodness of fit statistics and linear combinations of order statistics
• A simple general approach to inference about the tail of a distribution
• Heavy tail modeling and teletraffic data. (With discussions and rejoinder)
• Empirical likelihood based hypothesis testing
• Nonparametric likelihood ratio goodness-of-fit tests for survival data
• Selecting the optimal sample fraction in univariate extreme value estimation
• Approximations to the tail empirical distribution function with application to testing extreme value conditions
• Weak convergence of the sample distribution function when parameters are estimated
• A goodness-of-fit statistic for Pareto-type behaviour
• A Diagnostic for Selecting the Threshold in Extreme Value Analysis
• Large deviation theorem for Hill's estimator
• Estimating the limit distribution of multivariate extremes
• Goodness-of-fit test statistics that dominate the Kolmogorov statistics
• On asymptotic normality of the hill estimator
• Asymptotic Efficiency of Nonparametric Tests
• A CHARACTERIZATION OF GENERALIZED PARETO DISTRIBUTIONS BY PROGRESSIVE CENSORING SCHEMES AND GOODNESS-OF-FIT TESTS
• Tests For Constancy Of Model Parameters Over Time
• Probability Inequalities for Sums of Bounded Random Variables
• Exact Bahadur Efficiencies for the Kolmogorov-Smirnov and Kuiper One- and Two-Sample Statistics
• The Mean Values of Certain Dirichlet Series, II
• Table for Estimating the Goodness of Fit of Empirical Distributions
• A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
• Using a bootstrap method to choose the sample fraction in tail index estimation

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