Combinatorial problems of probability theory

DOI10.1007/BF01097183zbMath0337.60016OpenAlexW2021902010MaRDI QIDQ1230456

V. F. Kolchin, Vladimir P. Chistyakov

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1007/bf01097183

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial probability (60C05) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)

Related Items (2)

On some aspects of evolution of generalized allocation schemes ⋮ Random allocation of particles to cells corresponding to the Polya distribution

Cites Work

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• Untersuchungen zur Frage der Verteilung von Objekten auf Plätze
• On the Hoeffding's combinatorial central limit theorem
• The limiting distribution of the sample occupancy numbers from the multinomial distribution with equal cell probabilities
• Limit theorems for sampling from finite populations
• The distribution of a random number of particles in cells
• Asymptotic behavior of maximum of an equiprobable polynomial scheme
• Ordered cycle lengths in a random permutation
• Sequences with adjacent elements unequal
• A generalization of the classical occupancy problem
• On the asymptotic behaviour of the number of trials necessary to complete a set with random selection
• A Vector Form of the Wald-Wolfowitz-Hoeffding Theorem
• The Large-Sample Power of Rank Order Tests in the Two-Sample Problem
• Limiting Distributions in Some Occupancy Problems
• Sequential occupancy
• The Double Dixie Cup Problem
• A collector's problem
• Estimation of a parameter in the classical occupancy problem
• Some Extensions of the Wald-Wolfowitz-Noether Theorem
• On a Combinatorial Limit Theorem
• More birthday surprises
• A Matrix Occupancy Problem
• On the Consistency of the Two-Sample Empty Cell Test
• On some problems of a statistical group-theory. I
• On the central limit theorem for sums of dependent random variables
• The number of idempotent elements in symmetric semigroups
• Ordered Cycle Lengths in a Random Permutation
• Sequential occupancy with classification
• Probability Distributions Related to Random Mappings
• Asymptotic normality in a coupon collector's problem
• On some problems of a statistical group-theory. II
• Some combinatorial properties of transformations and their connections with the theory of graphs
• Enumeration of Linear Graphs for Mappings of Finite Sets
• Applications of a generalized combinatorial problem of smirnov
• Asymptotic normality in a generalized occupancy problem
• A Note on the Number of Idempotent Elements in Symmetric Semigroups
• The Asymptotic Distribution of the Measure of Random Sets with Application to the Classical Occupancy Problem and Suggestions for Curve Fitting
• A note on finding the size of a finite population
• Convergence of Sums of Random Variables Conditioned on a Future Change of Sign
• Weak Convergence of Conditioned Sums of Independent Random Vectors
• Asymptotic Distributions for the Coupon Collector's Problem
• Limit Theorems for Some Occupancy and Sequential Occupancy Problems
• On some problems of a statistical group-theory. III
• On the Coupon Collector's Waiting Time
• Conditioned Limit Theorems
• DISTRIBUTION OF GROUPS IN A SEQUENCE OF ALTERNATIVES
• On a Test Whether Two Samples are from the Same Population
• On Recursions Connected With Symmetric Groups I
• A Combinatorial Central Limit Theorem
• The Expected Number of Components Under a Random Mapping Function
• Statistical Tests Based on Permutations of the Observations
• On Solutions of x^d = 1 In Symmetric Groups
• Probability of Indecomposability of a Random Mapping Function
• The probability of generating the symmetric group

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