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Some Aspects of Discrete Probability Distributions of Order K

Rupak Gupta, Kishore K. Das

84 Pages
2011

Some Aspects of Discrete Probability Distributions of Order K

LAP Lambert Academic Publishing

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Some Aspects of Discrete Probability Distributions of Order K - Summary

"Some Aspects of Discrete Probability Distributions of Order K" by Rupak Gupta and Kishore K. Das is a comprehensive exploration into the world of discrete probability distributions. This book delves into the intricate properties and estimation problems associated with various distributions of order k. It provides a detailed overview of discrete probability distributions, followed by an in-depth study of Quasi Binomial distributions of order k, utilizing Abel's generalization of the Binomial formula. The authors also introduce a family of univariate and multivariate Abel series distributions of order k, discussing their significant properties and inferential aspects.

Key Ideas

1

Discrete Probability Distributions of Order K

The book provides an extensive overview of discrete probability distributions of order k, explaining their fundamental properties and significance. This concept is crucial for understanding how different probability distributions can be generalized and applied in various statistical analyses.

2

Quasi Binomial Distributions

One of the key highlights is the detailed study of Quasi Binomial distributions of order k. By considering Abel's generalization of the Binomial formula, the authors present a new class of distributions, discussing their probability functions and inferential properties.

3

Abel Series Distributions

The book introduces a family of univariate and multivariate Abel series distributions of order k. The authors explore their important properties and inferential aspects, providing a comprehensive understanding of these distributions.

FAQ's

The main focus of "Some Aspects of Discrete Probability Distributions of Order K" is to explore the properties and estimation problems associated with various discrete probability distributions of order k, including Quasi Binomial distributions and Abel series distributions.

"Some Aspects of Discrete Probability Distributions of Order K" is particularly beneficial for individuals interested in advanced probability theory, including researchers, statisticians, and students looking to deepen their understanding of discrete probability distributions.

Quasi Binomial distributions of order k are a new class of distributions introduced in the book, based on Abel's generalization of the Binomial formula. The book discusses their probability functions and inferential properties in detail.

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