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Dedication | |
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Preface | |
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Time Series Following Generalized Linear Models | |
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Partial Likelihood | |
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Generalized Linear Models and Time Series | |
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Partial Likelihood Inference | |
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Estimation of the Dispersion Parameter | |
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Iterative Reweighted Least Squares | |
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Asymptotic Theory | |
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Uniqueness and Existence | |
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Large Sample Properties | |
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Testing Hypotheses | |
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Diagnostics | |
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Deviance | |
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Model Selection Criteria | |
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Residuals | |
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Quasi-Partial Likelihood | |
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Generalized Estimating Equations | |
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Real Data Examples | |
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A Note on Computation | |
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A Note on Model Building | |
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Analysis of Mortality Count Data | |
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Application to Evapotranspiration | |
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Problems and Complements | |
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Regression Models for Binary Time Series | |
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Link Functions for Binary Time Series | |
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The Logistic Regression Model | |
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Probit and Other Links | |
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Partial Likelihood Estimation | |
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Inference for Logistic Regression | |
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Asymptotic Relative Efficiency | |
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Goodness of Fit | |
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Deviance | |
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Goodness of Fit Based on Response Classification | |
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Real Data Examples | |
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Rainfall Prediction | |
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Modeling Successive Eruptions | |
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Stock Price Prediction | |
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Modeling Sleep Data | |
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Problems and Complements | |
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Regression Models for Categorical Time Series | |
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Modeling | |
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Link Functions for Categorical Time Series | |
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Models for Nominal Time Series | |
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Models for Ordinal Time Series | |
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Partial Likelihood Estimation | |
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Inference for m=3 | |
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Inference for m>3 | |
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Large Sample Theory | |
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Inference for the Multinomial Logit Model | |
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Testing Hypotheses | |
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Goodness of Fit | |
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Goodness of Fit Based on Response Classification | |
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Power Divergence Family of Goodness of Fit Tests | |
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A Family of Goodness of Fit Tests | |
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Further Diagnostic Tools | |
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Examples | |
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Explanatory Analysis of DNA Sequence Data | |
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Soccer Forecasting | |
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Sleep Data Revisited | |
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Additional Topics | |
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Alternative Modeling | |
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Spectral Analysis | |
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Longitudinal Data | |
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Problems and Complements | |
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Asymptotic Theory | |
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Regression Models for Count Time Series | |
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Modeling | |
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Models for Time Series of Counts | |
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The Poisson Model | |
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The Doubly Truncated Poisson Model | |
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The Zeger--Qaqish Model | |
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Inference | |
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Partial Likelihood Estimation for the Poisson Model | |
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Asymptotic Theory | |
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Prediction Intervals | |
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Inference for the Zeger--Qaqish Model | |
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Hypothesis Testing | |
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Goodness of Fit | |
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Deviance | |
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Residuals | |
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Data Examples | |
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Monthly Count of Rainy Days | |
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Tourist Arrival Data | |
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Problems and Complements | |
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Other Models and Alternative Approaches | |
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Integer Autoregressive and Moving Average Models | |
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Branching Processes with Immigration | |
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Integer Autoregressive Models of Order 1 | |
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Estimation for INAR(1) Process | |
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Integer Autoregressive Models of Order p | |
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Regression Analysis of Integer Autoregressive Models | |
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Integer Moving Average Models | |
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Extensions and Modifications | |
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Discrete Autoregressive Moving Average Models | |
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The Mixture Transition Distribution Model | |
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Estimation in MTD Models | |
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Old Faithful Data Revisited | |
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Explanatory Analysis of DNA Sequence Data Revisited | |
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Soccer Forecasting Data Revisited | |
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Hidden Markov Models | |
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Variable Mixture Models | |
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Threshold Models | |
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Partial Likelihood Inference | |
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Comparison with the Threshold Model | |
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ARCH Models | |
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The ARCH(1) Model | |
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Maximum Likelihood Estimation | |
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Extensions of ARCH Models | |
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Sinusoidal Regression Model | |
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Mixed Models for Longitudinal Data | |
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Problems and Complements | |
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State Space Models | |
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Introduction | |
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Historical Note | |
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Linear Gaussian State Space Models | |
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Examples of Linear State Space Models | |
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Estimation by Kalman Filtering and Smoothing | |
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Estimation in the Linear Gaussian Model | |
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Nonlinear and Non-Gaussian State Space Models | |
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General Filtering and Smoothing | |
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Dynamic Generalized Linear Models | |
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Simulation Based Methods for State Space Models | |
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A Brief MCMC Tutorial | |
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MCMC Inference for State Space Models | |
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Sequential Monte Carlo Sampling Methods | |
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Likelihood Inference | |
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Longitudinal Data | |
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Kalman Filtering in Space-Time Data | |
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Problems and Complements | |
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Prediction and Interpolation | |
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Introduction | |
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Elements of Stationary Random Fields | |
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Ordinary Kriging | |
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Bayesian Spatial Prediction | |
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An Auxiliary Gaussian Process | |
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The Likelihood | |
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Prior and Posterior of Model Parameters | |
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Prediction of Z[subscript 0] | |
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Numerical Algorithm for the Case k = 1 | |
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Normalizing Transformations | |
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Software for BTG Implementation | |
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Applications of BTG | |
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Spatial Rainfall Prediction | |
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Comparison with Kriging | |
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Time Series Prediction | |
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Seasonal Time Series | |
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Problems and Complements | |
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Elements of Stationary Processes | |
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References | |
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Index | |