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The multiplicative heteroscedastic Von Bertalanffy model
Author(s) -
Carlos Alberto Ribeiro Diniz,
Francisco Louzada,
Lia Hanna Martins Morita
Publication year - 2011
Publication title -
brazilian journal of probability and statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.441
H-Index - 18
eISSN - 2317-6199
pISSN - 0103-0752
DOI - 10.1214/10-bjps120
Subject(s) - heteroscedasticity , mathematics , frequentist inference , multiplicative function , statistics , econometrics , polychoric correlation , bayesian probability , bayesian inference , mathematical analysis , geometry , correlation
In this work we propose a heteroscedastic Von Bertalanffy growth model considering a multiplicative heteroscedastic dispersion matrix. All estimates were obtained through a sampling based approach, which allows information to be input beforehand with lower computational effort. Simulations where realized in order to verify some frequentist properties of the estimation procedure in presence of small and moderate sample sizes. The methodology is illustrated on a real Kubbard female chicken corporeal weight dataset. Key word: Growth Models, Multiplicative Heteroscedasticity, Bayesian Analysis, Simulation.

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