From biased coin to any discrete distribution

Author:

Gryszka Karol

Abstract

AbstractIn this note we construct an algorithm generating any discrete distribution with an arbitrary coin (and, as a result, with arbitrary initial distribution). The coin need not be fair and the target distribution can be supported on a countable set.

Funder

Pedagogical University of Cracow

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference14 articles.

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2. A. Irpan, Simulating a biased coin with a fair one, Sorta Insighful (Blog). Retrieved from: https://www.alexirpan.com/2015/08/23/simulating-a-biased-coin-with-a-fair-one.html (2015)

3. T. Itoh, Simulating fair dice with biased coins. Inf. Comput. 126(1), 78–82 (1996)

4. A. Juels, M. Jakobsson, E. Shriver, How to turn loaded dice into fair coins. IEEE Trans. Inf. Theory 46(3), 911–921 (2000)

5. D. E. Knuth, A. C.-C. Yao, The Complexity of Nonuniform Random Number Generation. In: J. F. Traub (eds), Algorithms and Complexity: New Directions and Recent Results Proceedings of a Symposium, New York, NY, Carnegie-Mellon University, Computer Science Department, pp. 357–428 , Academic Press, Cambridge (1976)

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