Estimation of the Length Distribution of Marine Populations in the Gaussian-multinomial Setting using the Method of Moments |
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| Authors: | Olena Babak Birgir Hrafnkelsson Olafur P. Palsson |
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| Affiliation: | a Department of Civil and Environmental Engineering, University of Alberta, Canadab Department of Mechanical and Industrial Engineering, University of Iceland, Reykjavik, Iceland |
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| Abstract: | In this paper, the problem of estimation of the length distribution of marine populations in the Gaussian-multinomial model is considered. For the purpose of the mean and covariance parameter estimation, the method of moments estimators are developed. That is, minimum variance linear unbiased estimator for the mean frequency vector is derived and a consistent estimator for the covariance matrix of the length observations is presented. The usefulness of the proposed estimators is illustrated with an analysis of real cod length measurement data. |
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| Keywords: | Gaussian-multinomial model method of moments estimators length distribution |
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