Exponentiality tests based on Ahsanullah's characterization and their efficiency

DOI10.1007/s10958-014-2185-4zbMath1335.62082OpenAlexW2081203388MaRDI QIDQ906004

Ksenia Volkova, Yakov Yu. Nikitin

Publication date: 28 January 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-2185-4

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Large deviations (60F10)

Related Items (11)

New tests for exponentiality based on a characterization with random shift ⋮ A review of tests for exponentiality with Monte Carlo comparisons ⋮ Testing exponentiality based on the extropy of record values ⋮ On a new goodness-of-fit test for the Rayleigh distribution based on a conditional expectation characterization ⋮ The test of exponentiality based on the mean residual life function revisited ⋮ An `apples to apples' comparison of various tests for exponentiality ⋮ Unnamed Item ⋮ Characterization of exponential distribution using extropy based on lower \(k\)-records and its application in testing exponentiality ⋮ Efficiency of exponentiality tests based on a special property of exponential distribution ⋮ Toward the history of the St. Petersburg school of probability and statistics. IV: Characterization of distributions and limit theorems in statistics ⋮ A wide review on exponentiality tests and two competitive proposals with application on reliability

Cites Work

• Convergence of a class of empirical distribution functions of dependent random variables
• Glivenko-Cantelli properties of some generalized empirical DF's and strong convergence of generalized L-statistics
• On a characterization of the exponential distribution by spacings
• Goodness-of-fit tests for exponentiality based on a loss-of-memory type functional equation
• A condition under which the Pitman and Bahadur approaches to efficiency coincide
• Tests of fit for exponentiality based on a characterization via the mean residual life function
• Efficiency and local optimality of nonparametric tests based on U- and V-statistics
• Lilliefors test for exponentiality: large deviations, asymptotic efficiency, and conditions of local optimality
• Testing for new is better than used in expectation
• Asymptotic efficiency of exponentiality tests based on order statistics characterization
• Recent tests of exponentiality against IFR alternatives: a survey
• A location- and scale-free goodness-of-fit statistic for the exponential distribution based on maximum correlations
• Use of mean residual life in testing departures from exponentiality
• Large deviations of U-empirical Kolmogorov–Smirnov tests and their efficiency
• Bahadur efficiency and local optimality of a test for the exponential distribution based on the gini statistic
• A test for new better than used
• A Goodness-of-fit Test for Exponentiality Based on the Memoryless Property
• Asymptotic Efficiency of Nonparametric Tests
• GOODNESS-OF-FIT TESTS BASED ON A NEW CHARACTERIZATION OF THE EXPONENTIAL DISTRIBUTION
• A Class of Statistics with Asymptotically Normal Distribution
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Exponentiality tests based on Ahsanullah's characterization and their efficiency