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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Runs and Patterns in Probability: Selected Papers: Selected Papers

Runs and Patterns in Probability: Selected Papers: Selected Papers

Godbole, Anant P.
Papastavridis, Stavros G.

Paperback

Series: Mathematics and Its Applications, Book 283

General MathematicsProbability & Statistics

ISBN10: 1461336376
ISBN13: 9781461336372
Publisher: Springer Pg
Published: Oct 12 2011
Pages: 342
Weight: 1.13
Height: 0.76 Width: 6.14 Depth: 9.21
Language: English
The Probability Theory of Patterns and Runs has had a long and distinguished history, starting with the work of de Moivre in the 18th century and that of von Mises in the early 1920's, and continuing with the renewal-theoretic results in Feller's classic text An Introduction to Probability Theory and its Applications, Volume 1. It is worthwhile to note, in particular, that de Moivre, in the third edition of The Doctrine of Chances (1756, reprinted by Chelsea in 1967, pp. 254-259), provides the generating function for the waiting time for the appearance of k consecutive successes. During the 1940's, statisticians such as Mood, Wolfowitz, David and Mosteller studied the distribution theory, both exact and asymptotic, of run-related statistics, thereby laying the foundation for several exact run tests. In the last two decades or so, the theory has seen an impressive re-emergence, primarily due to important developments in Molecular Biology, but also due to related research thrusts in Reliability Theory, Distribution Theory, Combinatorics, and Statistics.

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