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Masses of Negative Multinomial Distributions: Application to Polarimetric Image Processing

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  • Philippe Bernardoff
  • Florent Chatelain
  • Jean-Yves Tourneret

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.

Suggested Citation

  • Philippe Bernardoff & Florent Chatelain & Jean-Yves Tourneret, 2013. "Masses of Negative Multinomial Distributions: Application to Polarimetric Image Processing," Journal of Probability and Statistics, Hindawi, vol. 2013, pages 1-13, February.
    • Handle: RePEc:hin:jnljps:170967
    DOI: 10.1155/2013/170967
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    Cited by:

    1. Bernardoff, Philippe, 2023. "Domain of existence of the Laplace transform of negative multinomial distributions and simulations," Statistics & Probability Letters, Elsevier, vol. 193(C).

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