On Size-Biased Negative Binomial Distribution and its Use in Zero-Truncated Cases

Khurshid Mir

doi:10.2478/v10048-009-0005-7

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On Size-Biased Negative Binomial Distribution and its Use in Zero-Truncated Cases

Measurement Science Review

Volume 9 (2009): Issue 2 (April 2009)

By: Khurshid Mir

Open Access

|May 2009

Abstract

A size-biased negative binomial distribution, a particular case of the weighted negative binomial distribution, taking the weights as the variate values has been defined. A Bayes' estimator of size-biased negative binomial distribution (SBNBD) has been obtained by using non-informative and gamma prior distributions. Also comparison has been made of this estimator with the corresponding maximum likelihood estimator (MLE) with the help of R- Software.

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Articles in this issue

DOI: https://doi.org/10.2478/v10048-009-0005-7 | Journal eISSN: 1335-8871

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Language: English

Page range: 33 - 35

Published on: May 29, 2009

Published by: Slovak Academy of Sciences, Institute of Measurement Science

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

size-biased negative binomial distribution,

Bayes' estimator,

R- Software

Related subjects:

Engineering,

Electrical engineering,

Control engineering, metrology and testing

© 2009 Khurshid Mir, published by Slovak Academy of Sciences, Institute of Measurement Science
This work is licensed under the Creative Commons License.

Volume 9 (2009): Issue 2 (April 2009)