Masses of Negative Multinomial Distributions: Application to Polarimetric Image Processing-Reference-Cited by-同舟云学术

Masses of Negative Multinomial Distributions: Application to Polarimetric Image Processing

Published:2013 Issue: Volume:2013 Page:1-13
ISSN:1687-952X
Container-title:Journal of Probability and Statistics
language:en
Short-container-title:Journal of Probability and Statistics

Author:

Bernardoff Philippe¹,Chatelain Florent²,Tourneret Jean-Yves³^ORCID

Affiliation:

1. Université de Pau et des Pays de l'Adour, Avenue de l'Université, 64012 Pau, France

2. Gipsa-Lab, Département Images et Signal, 961 rue de la Houille Blanche, BP 46, 38402 Saint Martin d'Héres, France

3. Université de Toulouse, IRIT/ENSEEIHT/TESA, 2 rue Charles Camichel, BP 7122, 31071 Toulouse Cedex 7, France

Abstract

This paper derives new closed-form expressions for the masses of negative multinomial distributions. These masses can be maximized to determine the maximum likelihood estimator of its unknown parameters. An application to polarimetric image processing is investigated. We study the maximum likelihood estimators of the polarization degree of polarimetric images using different combinations of images.

Publisher

Hindawi Limited

Subject

Statistics and Probability

Link

http://downloads.hindawi.com/journals/jps/2013/170967.pdf

Reference21 articles.

1. Definition and characterization of multivariate negative binomial distribution

2. The modes of a negative multinomial distribution

3. A class of infinitely divisible multivariate negative binomial distributions

4. The diagonal multivariate natural exponential families and their classification

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