Stochastic Processes
Stochastic Process Definition
Index Set
State Space
Sample Paths
Realizations
Discrete-Time Processes
Continuous-Time Processes
Discrete-State Processes
Continuous-State Processes
Definition and Significance
Kolmogorov Extension Theorem
Mean Function
Autocovariance Function
Autocorrelation Function
Cross-Covariance Functions
Strict-Sense Stationarity
Wide-Sense Stationarity
Covariance Stationarity
Definition and Implications
Strong Markov Property
Random Walk
White Noise
Moving Average Processes
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1. Foundations of Probability Theory
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3. Discrete-Time Markov Chains