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Financial Time Series and Their Characteristics | |
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Asset Returns | |
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Distributional Properties of Returns | |
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Processes Considered | |
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Linear time series | |
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Stationarity | |
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Autocorrelation | |
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Linear time series | |
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Simple AR models | |
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Simple MA models | |
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Simple ARMA Models | |
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Unit-Root Nonstationarity | |
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Seasonal Models | |
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Regression with Correlated Errors | |
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Consistent Covariance Matrix Estimation | |
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Long-Memory Models | |
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Volatility models | |
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Characteristics of Volatility | |
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Structure of a Model | |
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Model Building | |
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Testing for ARCH Effect | |
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The ARCH Model | |
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The GARCH Model | |
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The Integrated GARCH Model | |
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The GARCH-M Model | |
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The Exponential GARCH Model | |
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The Threshold GARCH Model | |
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The CHARMA Model | |
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Random Coefficient Autoregressive Models | |
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The Stochastic Volatility Model | |
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The Long-Memory Stochastic Volatility Model | |
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Application | |
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Alternative Approaches | |
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Kurtosis of GARCH Models | |
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Nonlinear Models and Their Applications | |
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Nonlinear Models | |
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Modeling | |
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Forecasting | |
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Application | |
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High-Frequency Data Analysis and Market Microstructure | |
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Nonsynchronous Trading | |
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Bid-Ask Spread | |
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Empirical Characteristics of Transactions Data | |
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Models for Price Changes | |
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Duration Models | |
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Nonlinear Duration Models | |
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Bivariate Models for Price Change and Duration | |
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Application | |
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Continuous-Time Models and Their Applications | |
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Options | |
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Some Continuous-Time Stochastic Processes | |
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Ito's Lemma | |
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Distributions of Price and Return | |
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Black-Scholes Equation | |
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Black-Scholes Pricing Formulas | |
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An Extension of Ito's Lemma | |
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Stochastic Integral | |
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Jump Diffusion Models | |
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Estimation of Continuous-Time Models | |
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Extreme Values, Quantiles, and Value at Risk | |
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Value at Risk | |
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RiskMetrics | |
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An Econometric Approach to VaR Calculation | |
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Quantile Estimation | |
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Extreme Value Theory | |
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Extreme Value Approach to VaR | |
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A New Approach to VaR | |
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The Extremal Index | |
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Multivariate Time Series Analysis and Its Applications | |
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Weak Stationarity and Cross-Correlation Matrices | |
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Vector Autoregressive Models | |
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Vector Moving-Average Models | |
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Vector ARMA Models | |
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Unit-Root Nonstationarity and Cointegration | |
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Cointegrated VAR Models | |
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Threshold Cointegration and Arbitrage | |
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Pairs Trading | |
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Principal Component Analysis and Factor Models | |
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A Factor Model | |
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Macroeconometric Factor Models | |
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Fundamental Factor Models | |
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Principal Component Analysis | |
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Statistical Factor Analysis | |
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Asymptotic Principal Component Analysis | |
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Multivariate Volatility Models and Their Applications | |
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Exponentially Weighted Estimate | |
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Some Multivariate GARCH Models | |
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Reparameterization | |
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GARCH Models for Bivariate Returns | |
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Higher Dimensional Volatility Models | |
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Factor-Volatility Models | |
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Application | |
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Multivariate t Distribution | |
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State-Space Models and Kalman Filter | |
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Local Trend Model | |
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Linear State-Space Models | |
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Model Transformation | |
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Kalman Filter and Smoothing | |
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Missing Values | |
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Forecasting | |
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Application | |
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Markov Chain Monte Carlo Methods with Applications | |
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Markov Chain Simulation | |
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Gibbs Sampling | |
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Bayesian Inference | |
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Alternative Algorithm | |
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Linear Regression With Time Series Errors | |
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Missing Values and Outliers | |
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Stochastic Volatility Models | |
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A New Approach to SV Estimation | |
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Markov Switching Models | |
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Forecasting | |
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Other Applications | |