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Your search keyword '"Stirling numbers of the first kind"' showing total 5 results
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5 results on '"Stirling numbers of the first kind"'

1. Approximation of inverse moments of discrete distributions.

Author

Phillips, T.R.L. and Zhigljavsky, A.

Subjects
*APPROXIMATION theory, *DISCRETE uniform distribution, *NUMBER theory, *FACTOR analysis, *HYPERGEOMETRIC functions, *BINOMIAL distribution
Abstract

For a wide class of discrete distributions, we derive a representation of the inverse (negative) moments through the Stirling numbers of the first kind and inverse factorial moments. We specialize the results for the Poisson, binomial, hypergeometric and negative binomial distributions. [ABSTRACT FROM AUTHOR]

Published
2014
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2. Approximating the negative moments of the Poisson distribution

Author

Jones, C. Matthew and Zhigljavsky, Anatoly A.

Subjects
*POISSON distribution, *APPROXIMATION theory, *NEGATIVE numbers, *DISTRIBUTION (Probability theory)
Abstract

Through the use of the Stirling numbers of the first kind, a general class of approximations is derived for the negative moments of the Poisson distribution. [Copyright &y& Elsevier]

Published
2004
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3. Approximating the negative moments of the Poisson distribution

Author

C. Matthew Jones and Anatoly Zhigljavsky

Subjects
Statistics and Probability, Stirling numbers of the first kind, Poisson distribution, Combinatorics, symbols.namesake, Compound Poisson distribution, Compound Poisson process, symbols, Zero-inflated model, Stirling number, Applied mathematics, Statistics, Probability and Uncertainty, Fractional Poisson process, Factorial moment, Mathematics
Abstract

Through the use of the Stirling numbers of the first kind, a general class of approximations is derived for the negative moments of the Poisson distribution.

Published
2004
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4. Probabilistic proofs of relations with Stirling numbers of the first kind by Dirichlet process

Author

Hajime Yamato

Subjects
Statistics and Probability, Polynomial, Factorial, Pure mathematics, Stirling numbers of the first kind, Stirling numbers of the second kind, Dirichlet distribution, Dirichlet process, Combinatorics, symbols.namesake, symbols, Physics::Accelerator Physics, Stirling number, High Energy Physics::Experiment, Statistics, Probability and Uncertainty, Bernoulli number, Mathematics
Abstract

The polynomial with Stirling numbers of the first kind as coefficients is equal to the falling factorial and the one with the absolute numbers to the rising factorial. Proofs of these equalities are given using Dirichlet processes.

Published
1990
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5. A note on stirling's expansion for factorial n

Author

Adrienne W. Kemp

Subjects
Statistics and Probability, Discrete mathematics, Pseudorandom number generator, Factorial, Stirling engine, Random number generation, Stirling numbers of the first kind, TheoryofComputation_GENERAL, law.invention, Combinatorics, law, Stirling number, Statistics, Probability and Uncertainty, Gamma function, Asymptotic expansion, Mathematics
Abstract

The note gives a new approximation to the Stirling expansion for n !, with an application to the computer generation of Poisson pseudorandom variables.

Published
1988
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