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The article offers a dynamic approach for predicting the outcomes of NFL games using the NFL games from 2002-2005. A logistic regression model is used to predict the probability that one team defeats another. The parameters of this model are the strengths of the teams and a home field advantage factor. Since it assumed that a team's strength is time dependent, the strength parameters were assigned a seasonal time series process. The best model was selected using all the data from 2002 through the first seven weeks of 2005. The last weeks of 2005 were used for prediction estimates.

Using both single and vector processes, we fitted the Box-Jenkin’s ARIMA model and the Vector Autoregressive model following the Johansen approach, to forecast soy bean and green bean prices on the Chinese futures markets. The results are encouraging and provide empirical evidence that the vector processes perform better than the single series. The co-integration test indicated that the null hypothesis of no co-integration among the relevant variables could be rejected. This is one of the most important findings in this paper. The purposes for analyzing and modeling the series jointly are to understand the dynamic relationships over time among the series and improve the accuracy of forecasts for individuals series by utilizing the additional information available from the related series in the forecasts for each series.

In this thesis, player’s performance on ice hockey is modelled to create newmetricsby match and season for players. AD-trees have been used to summarize ice hockey matches using state variables, which combine context and action variables to estimate the impact of each action under that specific state using Markov Decision Processes. With that, an impact measure has been described and four player metrics have been derived by match for regular seasons 2007-2008 and 2008-2009. General analysis has been performed for these metrics and ARIMA models have been used to analyze and predict players performance. The best prediction achieved in the modelling is the mean of the previous matches. The combination of several metrics including the ones created in this thesis could be combined to evaluate player’s performance using salary ranges to indicate whether a player is worth hiring/maintaining/firing

In many high dimensional problems, the dependence structure among the variables can be quite complex. An appropriate use of the regularization techniques coupled with other classical statistical methods can often improve estimation and prediction accuracy and facilitate model interpretation, by seeking a parsimonious model representation that involves only the subset of revelent variables. We propose two regularized stochastic regression approaches, for efficiently estimating certain sparse dependence structure in the data. We first consider a multivariate regression setting, in which the large number of responses and predictors may be associated through only a few channels/pathways and each of these associations may only involve a few responses and predictors. We propose a regularized reduced-rank regression approach, in which the model estimation and rank determination are conducted simultaneously and the resulting regularized estimator of the coefficient matrix admits a sparse singular value decomposition (SVD). Secondly, we consider model selection of subset autoregressive moving-average (ARMA) modelling, for which automatic selection methods do not directly apply because the innovation process is latent. We propose to identify the optimal subset ARMA model by fitting a penalized regression, e.g. adaptive Lasso, of the time series on its lags and the lags of the residuals from a long autoregression fitted to the time-series data, where the residuals serve as proxies for the innovations. Computation algorithms and regularization parameter selection methods for both proposed approaches are developed, and their properties are explored both theoretically and by simulation. Under mild regularity conditions, the proposed methods are shown to be selection consistent, asymptotically normal and enjoy the oracle properties. We apply the proposed approaches to several applications across disciplines including cancer genetics, ecology and macroeconomics.

O setor agrícola é, historicamente, um dos pilares da economia brasileira, e apesar de ter sua importância diminuída com o desenvolvimento do setor industrial e de serviços ainda é responsável por dar dinamismo econômico ao país, bem como garantir a segurança alimentar, auxiliar no controle da inflação e na formação de reservas monetárias. Neste contexto as safras agrícolas exercem grande influência no comportamento do setor e equilíbrio no mercado agrícola. Foram desenvolvidas diversas metodologias de previsão de safra, sendo em sua maioria modelos de simulação de crescimento. Entretanto, recentemente os modelos estatísticos vem sendo utilizados mais comumente devido às suas predições mais rápidas em períodos anteriores à colheita. No presente trabalho foram avaliadas duas destas metodologias, os modelos ARIMA e os Modelos Lineares Dinâmicos (MLD), sendo utilizada tanto a inferência clássica quanto a bayesiana. A avaliação das metodologias deu-se por meio da análise das previsões dos modelos, bem como da facilidade de implementação e poder computacional necessário. As metodologias foram aplicadas a dados de produção de soja para o município de Mamborê-PR, no período de 1980 a 2013, sendo área plantada (ha) e precipitação acumulada (mm) variáveis auxiliares nos modelos de regressão dinâmica. Observou-se que o modelo ARIMA (2,1,0) reparametrizado na forma de um MLD e estimado por meio de máxima verossimilhança, gerou melhores previsões do que aquelas obtidas com o modelo ARIMA(2,1,0) não reparametrizado. / The agriculture is, historically, one of Brazil\'s economic pillars, and despite having it\'s importance diminished with the development of the industry and services it still is responsible for giving dynamism to the country inland\'s economy, ensuring food security, controlling inflation and assisting in the formation of monetary reserves. In this context the agricultural crops exercise great influence in the behaviour of the sector and agricultural market balance. Diverse crop forecast methods were developed, most of them being growth simulation models, however, recently the statistical models are being used due to its capability of forecasting early when compared to the other models. In the present thesis two of these methologies were evaluated, ARIMA and Dynamic Linear Models, utilizing both classical and bayesian inference. The forecast accuracy, difficulties in the implementation and computational power were some of the caracteristics utilized to assess model efficiency. The methodologies were applied to Soy production data of Mamborê-PR, in the 1980-2013 period, also noting that planted area (ha) and cumulative precipitation (mm) were auxiliary variables in the dynamic regression. The ARIMA(2,1,0) reparametrized in the DLM form and adjusted through maximum likelihood generated the best forecasts, folowed by the ARIMA(2,1,0) without reparametrization.

Despite their success and widespread usage in industry and business, ES methods have received little attention from the statistical community. We investigate three types of statistical models that have been found to underpin ES methods. They are ARIMA models, state space models with multiple sources of error (MSOE), and state space models with a single source of error (SSOE). We establish the relationship among the three classes of models and conclude that the class of SSOE state space models is broader than the other two and provides a formal statistical foundation for ES methods. To better understand ES methods, we investigate the behaviors of ES methods for time series generated from different processes. We mainly focus on time series of ARIMA type. ES methods forecast a time series using only the series own history. To include covariates into ES methods for better forecasting a time series, we propose a new forecasting method, Exponential Smoothing with Covariates (ESCov). ESCov uses an ES method to model what left unexplained in a time series by covariates. We establish the optimality of ESCov, identify SSOE state space models underlying ESCov, and derive analytically the variances of forecasts by ESCov. Empirical studies show that ESCov outperforms ES methods and regression with ARIMA errors. We suggest a model selection procedure for choosing appropriate covariates and ES methods in practice. Computer models have been commonly used to investigate complex systems for which physical experiments are highly expensive or very time-consuming. Before using a computer model, we need to address an important question ``How well does the computer model represent the real system?" The process of addressing this question is called computer model validation that generally involves the comparison of computer outputs and physical observations. In this thesis, we propose a Bayesian approach to computer model validation. This approach integrates together computer outputs and physical observation to give a better prediction of the real system output. This prediction is then used to validate the computer model. We investigate the impacts of several factors on the performance of the proposed approach and propose a generalization to the proposed approach.

Made available in DSpace on 2014-06-11T19:22:32Z (GMT). No. of bitstreams: 0 Previous issue date: 2012-02-24Bitstream added on 2014-06-13T18:49:32Z : No. of bitstreams: 1 silva_taa_me_ilha.pdf: 370447 bytes, checksum: b861e5232da4742a12b7ae39aa142840 (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / Atualmente os sistemas elétricos de potência crescem em tamanho e complexidade e se faz necessário criar alternativas para minimizar o custo total de geração e operação. A previsão de cargas é uma tarefa importante para o planejamento e operação dos sistemas elétricos, pois dela dependem outras tarefas como despacho econômico, fluxo de potência, análise de estabilidade, entre outras. Para tanto esta tarefa deve ser precisa para que o sistema opere de forma segura e confiável. A precisão da previsão é de grande importância já que é através dela que é estabelecida quando e quanto de capacidade de geração e transmissão deve-se dispor para atender a carga prevista sem interrupções no fornecimento. O objetivo deste trabalho é desenvolver um modelo híbrido utilizando os modelos ARIMA de Box & Jenkins e Redes Neurais Artificiais com treinamento realizado pelo algoritmo de Levenberg-Marquartd. Este modelo será utilizado com a finalidade de melhorar a precisão dos resultados com relação à previsão de cargas elétricas a curto prazo. Os resultados obtidos através da metodologia proposta, modelo híbrido de regressão com redes neurais artificiais, foram comparados com demais trabalhos da literatura. É importante destacar que os resultados utilizados na comparação usam o mesmo banco de dados históricos (demanda de carga elétrica) de uma companhia do setor elétrico brasileiro, bem como o mesmo período de janelamento / Nowadays the electric power systems are increasing and becoming complexes and therefore it is necessary to provide alternatives to minimize the generation and operation costs. Load forecasting is a very important task for planning and operation of electric power systems of which other tasks are dependent, as for example, economic dispatch, power flow, and stability analysis, among others. Therefore, this task (load forecasting) must be precise for a secure and reliable operation of the power system. Forecasting precision is very important to set when and how much generation and transmission capacity is necessary to attend the load without interruptions. The objective of this work is to develop a hybrid model using ARIMA of Box & Jenkins and Neural Networks trained by Levenberg-Marquardt algorithm. This model is used aiming to improve the precision of the short term electrical load forecasting. The results obtained were compared with others available on the literature. It is emphasized that the data used is the same (from a Brazilian electric company) as well as the window period

O setor agrícola é, historicamente, um dos pilares da economia brasileira, e apesar de ter sua importância diminuída com o desenvolvimento do setor industrial e de serviços ainda é responsável por dar dinamismo econômico ao país, bem como garantir a segurança alimentar, auxiliar no controle da inflação e na formação de reservas monetárias. Neste contexto as safras agrícolas exercem grande influência no comportamento do setor e equilíbrio no mercado agrícola. Foram desenvolvidas diversas metodologias de previsão de safra, sendo em sua maioria modelos de simulação de crescimento. Entretanto, recentemente os modelos estatísticos vem sendo utilizados mais comumente devido às suas predições mais rápidas em períodos anteriores à colheita. No presente trabalho foram avaliadas duas destas metodologias, os modelos ARIMA e os Modelos Lineares Dinâmicos (MLD), sendo utilizada tanto a inferência clássica quanto a bayesiana. A avaliação das metodologias deu-se por meio da análise das previsões dos modelos, bem como da facilidade de implementação e poder computacional necessário. As metodologias foram aplicadas a dados de produção de soja para o município de Mamborê-PR, no período de 1980 a 2013, sendo área plantada (ha) e precipitação acumulada (mm) variáveis auxiliares nos modelos de regressão dinâmica. Observou-se que o modelo ARIMA (2,1,0) reparametrizado na forma de um MLD e estimado por meio de máxima verossimilhança, gerou melhores previsões do que aquelas obtidas com o modelo ARIMA(2,1,0) não reparametrizado. / The agriculture is, historically, one of Brazil\'s economic pillars, and despite having it\'s importance diminished with the development of the industry and services it still is responsible for giving dynamism to the country inland\'s economy, ensuring food security, controlling inflation and assisting in the formation of monetary reserves. In this context the agricultural crops exercise great influence in the behaviour of the sector and agricultural market balance. Diverse crop forecast methods were developed, most of them being growth simulation models, however, recently the statistical models are being used due to its capability of forecasting early when compared to the other models. In the present thesis two of these methologies were evaluated, ARIMA and Dynamic Linear Models, utilizing both classical and bayesian inference. The forecast accuracy, difficulties in the implementation and computational power were some of the caracteristics utilized to assess model efficiency. The methodologies were applied to Soy production data of Mamborê-PR, in the 1980-2013 period, also noting that planted area (ha) and cumulative precipitation (mm) were auxiliary variables in the dynamic regression. The ARIMA(2,1,0) reparametrized in the DLM form and adjusted through maximum likelihood generated the best forecasts, folowed by the ARIMA(2,1,0) without reparametrization.

Orientador: Anna Diva Plasencia Lotufo / Coorientador: Mara Lúcia Martins Lopes / Banca: Francisco Villarreal Alvarado / Banca: Luciana Cambraia Leite / Resumo: Atualmente os sistemas elétricos de potência crescem em tamanho e complexidade e se faz necessário criar alternativas para minimizar o custo total de geração e operação. A previsão de cargas é uma tarefa importante para o planejamento e operação dos sistemas elétricos, pois dela dependem outras tarefas como despacho econômico, fluxo de potência, análise de estabilidade, entre outras. Para tanto esta tarefa deve ser precisa para que o sistema opere de forma segura e confiável. A precisão da previsão é de grande importância já que é através dela que é estabelecida quando e quanto de capacidade de geração e transmissão deve-se dispor para atender a carga prevista sem interrupções no fornecimento. O objetivo deste trabalho é desenvolver um modelo híbrido utilizando os modelos ARIMA de Box & Jenkins e Redes Neurais Artificiais com treinamento realizado pelo algoritmo de Levenberg-Marquartd. Este modelo será utilizado com a finalidade de melhorar a precisão dos resultados com relação à previsão de cargas elétricas a curto prazo. Os resultados obtidos através da metodologia proposta, modelo híbrido de regressão com redes neurais artificiais, foram comparados com demais trabalhos da literatura. É importante destacar que os resultados utilizados na comparação usam o mesmo banco de dados históricos (demanda de carga elétrica) de uma companhia do setor elétrico brasileiro, bem como o mesmo período de janelamento / Abstract: Nowadays the electric power systems are increasing and becoming complexes and therefore it is necessary to provide alternatives to minimize the generation and operation costs. Load forecasting is a very important task for planning and operation of electric power systems of which other tasks are dependent, as for example, economic dispatch, power flow, and stability analysis, among others. Therefore, this task (load forecasting) must be precise for a secure and reliable operation of the power system. Forecasting precision is very important to set when and how much generation and transmission capacity is necessary to attend the load without interruptions. The objective of this work is to develop a hybrid model using ARIMA of Box & Jenkins and Neural Networks trained by Levenberg-Marquardt algorithm. This model is used aiming to improve the precision of the short term electrical load forecasting. The results obtained were compared with others available on the literature. It is emphasized that the data used is the same (from a Brazilian electric company) as well as the window period / Mestre