Please use this identifier to cite or link to this item: http://repositorio.ufla.br/jspui/handle/1/13982
Title: Classical and Bayesian estimation for INAR (1) models in number of precipitation days in Garanhuns-PE
Authors: Silva, Dâmocles Aurélio Nascimento da
Cunha Filho, Moacyr
Falcão, Ana Patrícia Siqueira Tavares
Alves, Gabriela Isabel Limoeiro
Keywords: Modelos INAR
Inferência Bayesiana
Modelos mistos
Issue Date: 1-Aug-2017
Publisher: Universidade Federal de Lavras
Citation: SILVA, D. A. N. da et al. Classical and Bayesian estimation for INAR (1) models in number of precipitation days in Garanhuns-PE. Revista Brasileira de Biometria, São Paulo, v. 34, n. 1, p.63-83, 2016.
Description: Many aspects of the weather cycle could be described by time series data. Meteorologists often use time series data to assess climate conditions and forecasts. Such models are generally continuous models. The interest was to analyze discrete weather data with the INAR (1) model, using classical and Bayesian approach to parameter estimation. The proposal is to analyze the data series utiizando mixed models with Bayesian approach. Thus, this work is described a sequence of procedures for estimating parameters of autoregressive models of order p = 1, for integer values INAR(1), by classical inference via maximum likelihood estimator and Bayesian inference via simulation Monte Carlo Markov Chain (MCMC). Two alternatives are considered for the a priori density of the model parameters. For the former case is adopted a density non-priori information. For the second, we adopt a density combined beta-gamma. A posteriori analysis is performed by algorithms of MCMC simulation. Also evaluates the prediction of new values of the series number of days with precipitation. The period of analysis comprised 30=11= 1993 to 29=02=2012 and obtained estimates of the period of 31=03=2012 to 28=02=2013. One INAR (1) model of classical parameter estimation and two models INAR (1) Bayesian estimation for the parameters were used. The choice of the most appropriate model the Akaike information criterion (AIC) was used. The analysis of forecast errors was an instrument used to determine which model is best suited to the data. We conclude that the use of MCMC simulation makes the process more exible Bayesian inference and can be extended to larger problems. Bayesina models showed better performance than the classical model.
URI: http://repositorio.ufla.br/jspui/handle/1/13982
Appears in Collections:Revista Brasileira de Biometria



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