Characterization and goodness-of-fit test of Pareto and some related distributions based on near-order statistics

DOI10.1155/2020/4262574zbMath1445.62100OpenAlexW3042985891MaRDI QIDQ2193443

Masoumeh Akbari

Publication date: 18 August 2020

Published in: Journal of Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/4262574

zbMATH Keywords

Pareto distributionnear-order statistics

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Cites Work

• Characterizations based on the numbers of near-order statistics
• Asymptotic properties of numbers of observations in random regions determined by central order statistics
• A note on the number of records near the maximum
• Limit laws for the number of near maxima via the Poisson approximation
• The asymptotic probability of a tie for first place
• Tail estimation based on numbers of near \(m\)-extremes
• Asymptotic properties of numbers of near minimum observations under progressive type-II censoring
• A note on the number of observations near an order statistic
• The number and sum of near-maxima for thin-tailed populations
• LIMIT THEOREMS FOR PROPORTIONS OF OBSERVATIONS FALLING INTO RANDOM REGIONS DETERMINED BY ORDER STATISTICS
• NUMBERS OF OBSERVATIONS NEAR ORDER STATISTICS
• Goodness-of-fit tests for Pareto distribution based on a characterization and their asymptotics
• How Many Observations Fall in a Neighborhood of an Order Statistic?
• New Goodness-of-Fit Tests for Pareto Distributions
• ON THE NUMBER OF RECORDS NEAR THE MAXIMUM
• A NOTE ON THE CHARACTERIZATIONS OF PARETO DISTRIBUTION BY UPPER RECORD VALUES
• Estimation of Tails and Related Quantities Using the Number of Near-Extremes
• Tests based on characterizations, and their efficiencies: a survey
• Asymptotic normality of numbers of observations in random regions determined by order statistics
• On asymptotic efficiency of goodness of fit tests for Pareto distribution based on characterizations
• A First Course in Order Statistics
• New Characterizations of the Pareto Distribution
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Characterization and goodness-of-fit test of Pareto and some related distributions based on near-order statistics