Discrete problems in probability theory
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Publication:1067326
DOI10.1007/BF02116601zbMath0579.62001MaRDI QIDQ1067326
Publication date: 1985
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
surveytestingdiscrete problemshypothesesallocation of particles to cellsestimation of unknownseparable statisticssize of a finite population
Research exposition (monographs, survey articles) pertaining to statistics (62-02) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
Related Items (10)
On asymptotic expansion in the random allocation of particles by sets ⋮ Limiting size index distributions for ball-bin models with Zipf-type frequencies ⋮ On Edgeworth expansions in generalized urn models ⋮ Asymptotic normality associated with generalized occupancy problems ⋮ On the limit distributions and asymptotics of extremal values for certain sequences of random variables ⋮ Asymptotical behavior of the variance of sums of random variables with random replacements ⋮ On the variance of the number of occupied boxes ⋮ Convergence Properties in Certain Occupancy Problems Including the Karlin-Rouault Law ⋮ Computation of distributions of statistics by means of Markov chains ⋮ Speed and concentration of the covering time for structured coupon collectors
Cites Work
- Confidence intervals for the coverage of low coverage samples
- Three limit theorems for scores based on occupancy numbers
- A remainder term estimate for the normal approximation in classical occupancy
- Some conditional limit theorems in exponential families
- Some local limit theorems in the symmetric Dirichlet-multinomial urn models
- On estimating the probability of discovering a new species
- Limit theorems for some random variables associated with urn models
- Markov chains close to a sequence of independent trials
- Central limit theorems for multinomial sums
- Sparse and crowded cells and Dirichlet distributions
- Some asymptotic results for occupancy problems
- Certain boundary functionals for Markov random walks
- Linear estimation of the probability of discovering a new species
- Two conditional limit theorems with applications
- Asymptotic distributions for occupancy and waiting time problems with positive probability of falling through the cells
- A note on the asymptotic normality of the distribution of the number of empty cells in occupancy problems
- Asymptotic Distribution of The $\chi ^2 $ Criterion when the Number of Observations and Number of Groups Increase Simultaneously
- Bounded multinomial distribution
- Besetzungsmodelle
- Asymptotic Normality in the Scheme of Simple Random Sampling without Replacement
- A Note on Capture-Recapture Estimation
- An Empirical Investigation of Goodness-of-Fit Statistics for Sparse Multinomials
- On snowball sampling, random mappings and related problems
- On the distribution of the number of unobserved elements when m-samples of size n are drawn from a finite population
- On sequential occupancy problems
- A Bayesian analysis of multiple-recapture sampling for a closed population
- Capture-Recapture Models Allowing for Age-Dependent Survival and Capture Rates
- On a restricted occupancy model and its applications
- On averaging over distinct units in replicated samples
- General Solution to the Occupancy Problem with Variably Sized Runs of Adjacent Cells Occupied by Single Balls
- The normal approximation to the multinomial with an increasing number of classes
- Runs of occupied cells
- A Problem of the Allocation of Particles in Cells and Random Mappings
- A generalization of a result of Erdös and Rényi
- Asymptotic Normality of a Class of Statistics in the Multinomial Scheme
- Stirling Behavior is Asymptotically Normal
- Some Generalizations of the Test of Empty Boxes
- Statistical Inference in the Classical Occupancy Problem Unbiased Estimation of the Number of Classes
- Asymptotic normality in a generalized occupancy problem
- Limit Theorems for Some Occupancy and Sequential Occupancy Problems
- Asymptotic normality and efficiency for certain goodness-of-fit tests
- The Generalized Birthday Problem
- A Note on the Classical Occupancy Problem
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