Items related to Thesaurus of univariate discrete probability distributions
- PublisherStamm
- Publication date1999
- ISBN 10 3877730256
- ISBN 13 9783877730256
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages838
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Thesaurus of Univariate Discrete Probability Distributions
Seller: killarneybooks, Inagh, CLARE, Ireland
Seller rating 5 out of 5 stars
Soft cover. Condition: Good. 1st Edition. Oversized paperback, weight 1.3kg, xxvii + 838 pages, NOT ex-library. Clean and bright interior with unmarked text, free of inscriptions and stamps, firmly bound. Gentle handling marks on page edges externally. Covers show faint shelfwear, short creases, rubbed tip of the lower front corner; spine is creased. -- Contents: Glossary of Symbols; Definitions and Formulas [Factorial Expressions; Operators; Numbers; Special Functions; Probability Distributions]; Discrete Probability Distributions; List of Distributions [List of Families]; Bibliography -- The decline of deterministic world view in this century caused a shift in the use of conceptual means applied for modeling real world phenomena. In many places deterministic functions have been replaced or supplemented by probability functions which reflect more adequately the state of affairs. Today, no scientific discipline can do without them any more since they became the basis of reasoning. They are models of behavior, of results of experiments and processes, they help to forecast and to construct representations of hidden mechanisms leading to explanations, that is, many of them attained the status of laws. Though some of the distributions presented here were obtained as pure mathematical constructions the overwhelming majority of them arose as a model of some aspect of reality. In the last decades the study of probability distributions and their application in different sciences developed so quickly that it seemed to be necessary to edit summarizing publications. After Haight's monograph on Poisson distributions (1967) the first 'dictionary' by Patil and Joshi (1968) appeared, in which almost 100 discrete univariate distributions were presented. One year later the first thorough monograph on discrete distributions by Johnson and Kotz (1969) signalized for growing interest in this discipline. The 'dictionary' had second edition, however, the authors (Patil, Boswell, Joshi and Ratnaparkhi, 1984) did not substantially enlarge the stock of distributions, deliberately choosing only the best known ones. On the other hand, in the second edition of the monograph by Johnson and Kotz, amply enlarged by A.W. Kemp (1992), about three hundred distributions were analyzed or at least mentioned. Of course, the number of existing distributions is much greater but they were published in so many books and journals of different disciplines than their compilation is extremely laborious. In the present "Thesaurus" the Authors tried to present as many distributions as they were able to compile depending on the availability of literature. There are about 750 distributions and families listed here; their total number at present is estimated to 1000. The main aim was to show the position of individual distributions in the complicated net of families and interrelations. The bibliography contains more than 4000 items each of which has been directly associated with the distributions treated in them. 200 of these distributions can be mechanically fitted to empirical data with the help of a software tool called Altmann-Fitter (1994). Seller Inventory # 006496
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