This book describes the sojourn time distribution for its usefulness in analyzing the distribution of the supremum of the sample function of the process. It is concerned with the distribution of the supremum of a continuous parameter stochastic process.
This book describes the sojourn time distribution for its usefulness in analyzing the distribution of the supremum of the sample function of the process. It is concerned with the distribution of the supremum of a continuous parameter stochastic process.
1. Sojourn Time Distributions 2. Survey of the Normal Distribution 3. Stationary Gaussian Processes on a Finite Interval 4. Processes with Stationary Independent Increments 5. Diffusion Processes 6. Random Walk and Birth-and-Death Processes 7. Stationary Gaussian Processes on a Long Interval 8. Central Limit Theorems 9. Extremes of Gaussian Sequences and Diffusion Processes 10. Maximum of a Gaussian Process 11. Other Gaussian Sequences and Markov Random Fields 12. Processes (X, f(t)) with Orthogonally Invariant X
1. Sojourn Time Distributions 2. Survey of the Normal Distribution 3. Stationary Gaussian Processes on a Finite Interval 4. Processes with Stationary Independent Increments 5. Diffusion Processes 6. Random Walk and Birth-and-Death Processes 7. Stationary Gaussian Processes on a Long Interval 8. Central Limit Theorems 9. Extremes of Gaussian Sequences and Diffusion Processes 10. Maximum of a Gaussian Process 11. Other Gaussian Sequences and Markov Random Fields 12. Processes (X, f(t)) with Orthogonally Invariant X
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