Periodicsolutionofstochasticprocessinthedistributionalsense. There are many classical theories, see the books 3, 4, 5. A stochastic process is a random or conjectural process, and this book is concerned with applied probability and statistics. Stochastic processes to students with many different interests and with varying degrees. Bochneralmost periodicity for stochastic processes. Essentials of stochastic processes duke mathematics department. In this paper, we will give a new viewpoint about the periodicity of stochastic processes. Stm, behavioural science and public health titles, 2012, 30 2, pp. Pdf almost periodic random sequences in probability. As an application of our study, it is possible to compare previous re.

We consider the stochastic process from another facta macro point of view. The topics treated range from existence, uniqueness, boundedness, and stability of solutions, to stochastic difference and differential equations. Note that an almost periodic stochastic process is actually a usual l p p, h valued almost periodic function. Almost final version of the 2nd edition, december, 2011. In probability theory and related fields, a stochastic or random process is a mathematical object. Stochastic processes from 1950 to the present electronic journal. Almost surely, a sample path of a wiener process is continuous everywhere but nowhere differentiable.

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