Large deviations and asymptotic efficiency of a statistic of integral type. II

DOI10.1007/BF01702336zbMath0599.62060OpenAlexW2065870284MaRDI QIDQ1080590

Yakov Yu. Nikitin

Publication date: 1984

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01702336

zbMATH Keywords

Anderson-DarlingCramér-von Mises-Smirnov omega square statisticslocal exact Bahadur efficienciesstatistic of integral typetwo-sample analogues

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Point estimation (62F10) Large deviations (60F10)

Related Items (4)

Bahadur asymptotic efficiency of integral tests for symmetry ⋮ Integral distribution-free statistics of \(L_p\)-type and their asymptotic comparison ⋮ Toward the history of the St. Petersburg school of probability and statistics. IV: Characterization of distributions and limit theorems in statistics ⋮ Asymptotic comparison of a class of nonparametric tests with the Student test

Cites Work

• Large deviation theorems for empirical probability measures
• A condition under which the Pitman and Bahadur approaches to efficiency coincide
• Asymptotic sufficiency of the vector of ranks in the Bahadur sense
• Asymptotic distributions for quadratic forms with applications to tests of fit
• The Efficiency of Some Nonparametric Competitors of the $t$-Test
• Bahadur efficiency and probabilities of large deviations
• An invariance principle for the law of the iterated logarithm
• K-Sample Analogues of the Kolmogorov-Smirnov and Cramer-V. Mises Tests
• Exact Bahadur Efficiencies for the Kolmogorov-Smirnov and Kuiper One- and Two-Sample Statistics
• Rates of Convergence of Estimates and Test Statistics
• Stochastic Comparison of Tests
• Goodness-of-fit tests on a circle
• On the Probability of Large Deviations of Functions of Several Empirical CDF'S
• Goodness-of-fit tests on a circle. II
• Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes
• A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
• Limit Theorems Associated with Variants of the Von Mises Statistic
• A Test of Goodness of Fit
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