Prior elicitation for mixed quantile regression with an allometric model

被引:11
作者
Alhamzawi, Rahim [1 ]
Yu, Keming [1 ,2 ]
Vinciotti, Veronica [1 ]
Tucker, Allan [1 ]
机构
[1] Brunel Univ, Sch Informat Syst Comp & Math, Uxbridge UB8 3PH, Middx, England
[2] Shihezi Univ, Sch Business, Xinjiang, Peoples R China
关键词
allometric model; elicitation; mixture representation; prior distribution; quantile regression; DISTRIBUTIONS;
D O I
10.1002/env.1118
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
In this paper, we introduced methods for conducting Bayesian quantile analysis of an allometric model that included random effects, with the primary goal of estimating quantiles of the length-weight relationship of fish data. We developed prior elicitation schemes to incorporate historical information into the analysis of current data. We proposed Gibbs sampler methods to facilitate Bayesian computation and provided detailed implementation schemes. We applied our methods to analyze data of walleye Sander vitreus and white bass Morone chrysops in Lake McConaughy, Nebraska. Copyright (C) 2011 John Wiley & Sons, Ltd.
引用
收藏
页码:911 / 920
页数:10
相关论文
共 22 条
[1]  
Blackwell Brian G., 2000, Reviews in Fisheries Science, V8, P1, DOI 10.1080/10641260091129161
[2]   Estimating fish body condition with quantile regression [J].
Cade, Brian S. ;
Terrell, James W. ;
Porath, Mark T. .
NORTH AMERICAN JOURNAL OF FISHERIES MANAGEMENT, 2008, 28 (02) :349-359
[3]  
Carlander KD., 1997, IOWA STATE UP
[4]   Prior elicitation for model selection and estimation in generalized linear mixed models [J].
Chen, MH ;
Ibrahim, JG ;
Shao, QM ;
Weiss, RE .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2003, 111 (1-2) :57-76
[5]   Weight-length relationships in fisheries studies: The standard allometric model should be applied with caution [J].
De Robertis, Alex ;
Williams, Kresimir .
TRANSACTIONS OF THE AMERICAN FISHERIES SOCIETY, 2008, 137 (03) :707-719
[6]   STOCHASTIC RELAXATION, GIBBS DISTRIBUTIONS, AND THE BAYESIAN RESTORATION OF IMAGES [J].
GEMAN, S ;
GEMAN, D .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1984, 6 (06) :721-741
[7]   Quantile regression for longitudinal data using the asymmetric Laplace distribution [J].
Geraci, Marco ;
Bottai, Matteo .
BIOSTATISTICS, 2007, 8 (01) :140-154
[8]  
Huxley J. S., 1936, Compte Rendu des Seances de la Societe de Biologie Paris, V121, P934
[9]  
Ibrahim JG, 2000, STAT SCI, V15, P46
[10]   REGRESSION QUANTILES [J].
KOENKER, R ;
BASSETT, G .
ECONOMETRICA, 1978, 46 (01) :33-50