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Showing papers on "Probability-generating function published in 1971"

Journal Article•DOI•
On infinite composition products of probability generating functions

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J. D. Church1•
University of Kansas1
01 Sep 1971-Probability Theory and Related Fields

28 citations

Journal Article•DOI•
The Wiener-Hermite Expansion with Time-Dependent Ideal Random Function. II The Three-Mode Model

[...]

Shūhei Tanaka1, Tsutomu Imamura1•
Kwansei Gakuin University1
01 Apr 1971-Progress of Theoretical Physics

8 citations

Journal Article•DOI•
A generalized stochastic model for systems of first-order reactions—probability generating function approach

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Chieh Chu1•
University of California, Los Angeles1
01 Oct 1971-Chemical Engineering Science
TL;DR: A generalized stochastic model has been developed for systems of n-component first-order reactions by means of the probability generating function approach and a comparison of the model with the deterministic model is given.

2 citations

Journal Article•DOI•
On the maximum deviation in random walks

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H. Bohman
01 Jun 1971-Bit Numerical Mathematics
TL;DR: In this paper, a random walk with drift to the left is considered and an approximate expression for the characteristic function of the distribution of this random variable is evaluated with the aid of the Fast Fourier Transform.
Abstract: We consider a random walk with drift to the left. LetM n denote the extreme position to the right of the particle during its firstn steps. An approximate expression for the characteristic function of the distribution of this random variable is evaluated. The numerical inversion of this characteristic function is performed with the aid of the Fast Fourier Transform.