- 384 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Bivariate Discrete Distributions
About this book
This useful reference/text provides a comprehensive study of the various bivariate discretedistributions that have appeared in the literature- written in an accessible manner thatassumes no more than a first course in mathematical statistics.Supplying individualized treatment of topics while simultaneously exploiting the interrelationshipsof the material, Bivariate Discrete Distributions details the latest techniques ofcomputer simulation for the distributions considered ... contains a general introduction tothe structural properties of discrete distributions, including generating functions, momentrelationships, and the basic ideas of generalizing . . . develops distributions using samplingschemes . .. explores the role of compounding ... covers Waring and "short" distributionsfor use in accident theory ... discusses problems of statistical inference, emphasizing techniquespertinent to the discrete case ... and much more!Containing over 1000 helpful equations, Bivariate Discrete Distributions is
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Yes, you can access Bivariate Discrete Distributions by Kocherlakota in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.
Information
1
PRELIMINARIES
In this chapter we shall be considering the basic properties of bivariate discrete distributions. As is well known, central to the study of probability distributions is the generating function. In the case of discrete distributions, the probability generating function plays a vital role as, in most of the situations, it is much simpler to handle than is the moment generating function. However, in addition to the probability generating function we will define a variety of generating functions of which the importance and usefulness will be made clear in the context in which they appear. The relationships between the different types of moments will also be developed. The structure of bivariate discrete distributions has been studied by several authors by a canonical representation. These ideas will be introduced in this chapter. Specifics will be referred to a later section appropriate to the distribution under consideration. Finally, the computer age has been instrumental in making the abstraction of theory a reality. To this end, some gene...
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Dedication
- Table of Contents
- PREFACE
- NOTATION
- 1 PRELIMINARIES
- 2 STATISTICAL INFERENCE
- 3 SAMPLING WITH REPLACEMENT
- 4. BIVARIATE POISSON DISTRIBUTION
- 5. BIVARIATE NEGATIVE BINOMIAL DISTRIBUTION
- 6. SAMPLING FROM FINITE POPULATIONS
- 7. BIVARIATE LOGARITHMIC SERIES DISTRIBUTION
- 8. COMPOUNDED BIVARIATE POISSON DISTRIBUTIONS
- 9. SOME MISCELLANEOUS RESULTS
- BIBLIOGRAPHY
- KEY WORD INDEX
- SUBJECT INDEX