Sojourns And Extremes Of Stochastic Processes
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Sojourns And Extremes of Stochastic Processes
Sojourns and Extremes of Stochastic Processes is a research monograph in the area of probability theory. During the past thirty years Berman has made many contributions to the theory of the extreme values and sojourn times of the sample functions of broad classes of stochastic processes. These processes arise in theoretical and applied models, and are presented here in a unified exposition.
Sojourns and Extremes of Stochastic Processes
Sojourns and Extremes of Stochastic Processes is a research monograph in the area of probability theory. During the past thirty years Berman has made many contributions to the theory of the extreme values and sojourn times of the sample functions of broad classes of stochastic processes. These processes arise in theoretical and applied models, and are presented here in a unified exposition.
Sojourns and Extremes of Stochastic Processes
The object of the study is to describe specific distributional and structural properties of functionals, and then formulate conditions on the finite-dimensional distributions of the process which are sufficient for these properties. It was shown how these conditions are related to the structures of classes of stochastic processes commonly arising in theoretical and applied probability.