| Runs and Patterns in Probability: Selected Papers: Selected Papers Softcover Repri Edition Contributor(s): Godbole, Anant P. (Editor), Papastavridis, Stavros G. (Editor) |
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ISBN: 1461336376 ISBN-13: 9781461336372 Publisher: Springer OUR PRICE: $104.49 Product Type: Paperback - Other Formats Published: October 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General - Mathematics | Applied - Mathematics | Discrete Mathematics |
| Dewey: 519.2 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.76" H x 6.14" W x 9.21" (1.13 lbs) 342 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |
