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Reports (Research Report) Year : 1992

Krawtchouk polynomials and finite probability theory

Philip Feinsilver
  • Function : Author
René Schott
  • Function : Author

Abstract

Some general remarks on random walks and martingales for finite probability distributions are presented. Orthogonal systems for the multinomial distribution arise. In particular, a class of generalized Krawtchouk polynomials is determined by a random walk generated by roots of unity. Relations with hypergeometric functions and some limit theorems are discussed.

Domains

Other [cs.OH]
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Dates and versions

inria-00076984 , version 1 (29-05-2006)

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  • HAL Id : inria-00076984 , version 1

Cite

Philip Feinsilver, René Schott. Krawtchouk polynomials and finite probability theory. [Research Report] RR-1744, INRIA. 1992. ⟨inria-00076984⟩
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