Divisible statistics - MaRDI portal

DOI10.1007/BF01096289zbMath0706.62019OpenAlexW4211245597MaRDI QIDQ918586

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01096289

zbMATH Keywords

weak convergence asymptotic normality bibliography likelihood ratio locally compact Abelian groups conditional distributions contiguous alternatives coverings of circles by random arcs limit distributions of spacings m-separable statistics overview of recent results

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Exact distribution theory in statistics (62E15) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Cites Work

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On a Class of Problems Related to the Random Division of an Interval
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Conditions for the weak convergence of distributions of separable statistics
Random, nonuniform distribution of line segments on a circle
Sidak-type simultaneous prediction intervals for the mortality measures \(RSRR_ i\) about the corresponding \(S_ ePMR_ i\) for several competing risks of death in an epidemiologic study
On the influence of the extremes of an i.i.d. sequence on the maximal spacings
On powerful distributional tests based on sample spacings
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Incomplete Dirichlet integrals with applications to ordered uniform spacings
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Some conditional limit theorems in exponential families
On numbers related to partitions of unlike objects and occupancy problems
Central limit theorems for multinomial sums
Inversion of conditional expectations
Asymptotic efficiency of minimum variance unbiased estimators
Two applications of a Poisson approximation for dependent events
On the concept of contiguity
Continuous versions of regular conditional distributions
Two conditional limit theorems with applications
Asymptotic coverage distributions on the circle
Moments of separable statistics in a generalized distribution scheme
Asymptotic analysis of distribution of Dixon statistics
The asymptotic sufficiency of a relatively small number of order statistics in tests of fit
Probability distributions on locally compact Abelian groups
Covering the circle with random arcs
A limit theorem for random coverings of a circle
THE MINIMUM OF HIGHER ORDER GAPS
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A Certain Class of Tests of Fit
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An urn model for cannibal behavior
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Covering the circle with random arcs of random sizes
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Asymptotic normality and efficiency for certain goodness-of-fit tests
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The Characteristic Function of a Conditional Statistic
SOLUTION TO A GEOMETRICAL PROBLEM IN PROBABILITY
On a Test Whether Two Samples are from the Same Population
A Criterion for Testing the Hypothesis that Two Samples are from the Same Population
The Distribution Theory of Runs
Some Basic Theorems for Developing Tests of Fit for The Case of the Non-Parametric Probability Distribution Function, I
On the Asymptotic Distribution of the Sum of Powers of Unit Frequency Differences

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