Parameterizing probabilities for estimating age-composition distributions for mixture models

Kimura, Daniel K. and Dorn, Martin W. (2006) Parameterizing probabilities for estimating age-composition distributions for mixture models. Fishery Bulletin, 104, pp. 303-305.

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Abstract

When estimating parameters that constitute a discrete probability distribution {pj}, it is difficult to determine how constraints should be made to guarantee that the estimated parameters { pˆj} constitute a probability distribution (i.e., pˆj>0, Σ pˆj =1). For age distributions estimated from mixtures of length-at-age distributions, the EM (expectationmaximization) algorithm (Hasselblad, 1966; Hoenig and Heisey, 1987; Kimura and Chikuni, 1987), restricted least squares (Clark, 1981), and weak quasisolutions (Troynikov, 2004) have all been used. Each of these methods appears to guarantee that the estimated distribution will be a true probability distribution with all categories greater than or equal to zero and with individual probabilities that sum to one. In addition, all these methods appear to provide a theoretical basis for solutions that will be either maximum-likelihood estimates or at least convergent to a probability distribut

Item Type: Article
Title: Parameterizing probabilities for estimating age-composition distributions for mixture models
Personal Creator/Author:
CreatorsEmail
Kimura, Daniel K.
Dorn, Martin W.
Refereed: Yes
Journal or Publication Title: Fishery Bulletin
Volume: 104
Page Range: pp. 303-305
Date: 2006
ISSN: 0090-0656
Subjects: Biology
Ecology
Fisheries
Item ID: 8999
Depositing User: Patti M. Marraro
Date Deposited: 03 Aug 2012 18:16
Last Modified: 27 Oct 2013 12:34
URI: http://aquaticcommons.org/id/eprint/8999

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