Title :
Generation of discrete distributions from biased coins
Author_Institution :
Math., Comput., & Inf. Sci., Office of Naval Res., Arlington, VA, USA
fDate :
9/1/1996 12:00:00 AM
Abstract :
The procedure of Knuth and Yao (1976) to simulate random numbers with specified distribution by parsing sequences of fair coin tosses is generalized to employ discrete distributions of particular form instead of fair coins. Each probability in these distributions is an integral power of some fixed value t. The parse tree for the simulation procedure is closely related to the code trees arising in Karp´s optimal variable-length coding algorithm for code symbols of unequal cost
Keywords :
encoding; probability; random number generation; statistical analysis; trees (mathematics); variable length codes; biased coins; code trees; discrete distributions; fair coin tosses; optimal variable-length coding algorithm; parse tree; parsing sequences; probability distribution; random number simulation; simulation procedure; unequal cost code symbols; Algorithm design and analysis; Application software; Arithmetic; Australia; Cost function; Information theory; Performance analysis; Power generation; Random number generation;
Journal_Title :
Information Theory, IEEE Transactions on
