Some Elementary Results on Poisson Approximation in a Sequence of Bernoulli Trials

Probability theory

1963 • 6,095 citations

A Course in Probability Theory

1974 • 2,847 citations

Stationary and Related Stochastic Processes

1967 • 782 citations

Modern Probability Theory and its Applications.

1961 • 776 citations

Poisson Approximation for Dependent Trials

1975 • 659 citations

Handbook of the Poisson Distribution.

1968 • 562 citations

Theorie analytique des probabilites

1812 • 541 citations

An approximation theorem for the Poisson binomial distribution

1960 • 527 citations

Stationary and Related Stochastic Processes: Sample Function Properties and Their Applications.

1968 • 451 citations

The theory of probability

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The Poisson Approximation to the Poisson Binomial Distribution

1960 • 187 citations

Das Gesetz der kleinen Zahlen

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A General Poisson Approximation Theorem

1975 • 131 citations

ON FINITE AND INFINITE SEQUENCES OF EXCHANGEABLE EVENTS.

1966 • 74 citations

Approximation der Verteilungen von Summen unabhängiger nichtnegativer ganzzahliger Zufallsgrößen durch Poissonsche Verteilungen

1964 • 73 citations

Handbook of the poisson distribution

1968 • 62 citations

On the Convergence of Poisson Binomial to Poisson Distributions

1974 • 61 citations

A Probability Model of a Pyramid Scheme

1977 • 56 citations

Poisson Limit Law for a Scheme of Sums of Dependent Random Variables

1973 • 53 citations

Upper bounds for the distance in total variation between the binomial or negative binomial and the Poisson distribution

1969 • 51 citations

The Poisson Approximation for Dependent Events

1974 • 44 citations

A limit theorem for random coverings of a circle

1973 • 44 citations

On Uniform Approximation of the Binomial Distribution by Infinitely Divisible Laws

1958 • 38 citations

Measuring The Association Of Point Processes: A Case History

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On the Convergence of Binomial to Poisson Distributions

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A general Poisson limit theorem of probability theory

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Measuring the Association of Point Processes: A Case History

1976 • 24 citations

Two Applications of a Poisson Approximation for Dependent Events

1977 • 21 citations

An Approximation Theorem for Convolutions of Probability Measures

1975 • 19 citations

THE ROLE OF THE POISSON DISTRIBUTION IN APPROXIMATING SYSTEM RELIABILITY OF k-OUT-OF-n STRUCTURES**Research supported by the Army, Navy and Air Force under Office of Naval Research Contract No. N00014-75-C-0551. Reproduction in whole or in part is permitted for special purposes within the United States Government.

1977 • 5 citations

A generalization of a result of Erdös and Rényi

1977 • 4 citations