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Negative Binomial Distribution
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High Quality Content by WIKIPEDIA articles! In probability and statistics the negative binomial distribution (including the Pascal distribution or Polya distribution) is a discrete probability distribution. It arises as the probability distribution of the number of failures in a sequence of Bernoulli trials needed to get a specified (non-random) number of successes. If one throws a die repeatedly until the third time a "1" appears, then the probability distribution of the number of non-"1"s that appear before the third "1" is a negative binomial distribution. The Pascal distribution and Polya distribution are special cases of the negative binomial. There is a convention among engineers, climatologists, and others to reserve "negative binomial" in a strict sense or "Pascal" (after Blaise Pascal) for the case of an integer-valued parameter r, to the right, and use "Polya" (for George Pólya) for the real-valued case. The Polya distribution more accurately models occurrences of "contagious" discrete events, like tornado outbreaks, than does the Poisson distribution.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786130331276
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Größe H220mm x B150mm x T8mm
- Jahr 2009
- EAN 9786130331276
- Format Fachbuch
- ISBN 978-613-0-33127-6
- Titel Negative Binomial Distribution
- Untertitel Probability, Statistics, Discrete Probability Distribution, Probability Distribution, Bernoulli Trial, Blaise Pascal, George Pólya, Poisson Distribution
- Gewicht 219g
- Herausgeber Betascript Publishers
- Anzahl Seiten 136
- Genre Mathematik
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