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Introduction To Stochastic Processes

Author: Erhan Cinlar
Publisher: Courier Corporation
ISBN: 0486497976
Size: 20.26 MB
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This clear presentation of themost fundamental models ofrandom phenomena employsmethods that recognize computerrelatedaspects of theory. Topicsinclude probability spaces andrandom variables, expectationsand independence, Bernoulliprocesses and sums of independentrandom variables, Poisson processes, Markov chainsand processes, and renewal theory. Assuming only a backgroundin calculus, this outstanding text includes an introductionto basic stochastic processes.Reprint of the Prentice-Hall Publishers, Englewood Cliffs,New Jersey, 1975 edition.

Markov Processes And Potential Theory

Author: Robert McCallum Blumenthal
Publisher: Courier Corporation
ISBN: 0486462633
Size: 70.72 MB
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This graduate-level text explores the relationship between Markov processes and potential theory, in addition to aspects of the theory of additive functionals. Topics include Markov processes, excessive functions, multiplicative functionals and subprocesses, and additive functionals and their potentials. A concluding chapter examines dual processes and potential theory. 1968 edition.

Elements Of The Theory Of Markov Processes And Their Applications

Author: A. T. Bharucha-Reid
Publisher: Courier Corporation
ISBN: 0486150356
Size: 23.45 MB
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This graduate-level text and reference in probability, with numerous applications to several fields of science, presents nonmeasure-theoretic introduction to theory of Markov processes. The work also covers mathematical models based on the theory, employed in various applied fields. Prerequisites are a knowledge of elementary probability theory, mathematical statistics, and analysis. Appendixes. Bibliographies. 1960 edition.

Finite Markov Processes And Their Applications

Author: Marius Iosifescu
Publisher: Courier Corporation
ISBN: 0486150585
Size: 65.51 MB
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Self-contained treatment covers both theory and applications. Topics include the fundamental role of homogeneous infinite Markov chains in the mathematical modeling of psychology and genetics. 1980 edition.

Stochastic Processes And Filtering Theory

Author: Andrew H. Jazwinski
Publisher: Courier Corporation
ISBN: 0486318192
Size: 75.48 MB
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This unified treatment of linear and nonlinear filtering theory presents material previously available only in journals, and in terms accessible to engineering students. Its sole prerequisites are advanced calculus, the theory of ordinary differential equations, and matrix analysis. Although theory is emphasized, the text discusses numerous practical applications as well. Taking the state-space approach to filtering, this text models dynamical systems by finite-dimensional Markov processes, outputs of stochastic difference, and differential equations. Starting with background material on probability theory and stochastic processes, the author introduces and defines the problems of filtering, prediction, and smoothing. He presents the mathematical solutions to nonlinear filtering problems, and he specializes the nonlinear theory to linear problems. The final chapters deal with applications, addressing the development of approximate nonlinear filters, and presenting a critical analysis of their performance.

An Introduction To Probability And Stochastic Processes

Author: James L. Melsa
Publisher: Courier Corporation
ISBN: 0486490998
Size: 14.73 MB
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Detailed coverage of probability theory, random variables and their functions, stochastic processes, linear system response to stochastic processes, Gaussian and Markov processes, and stochastic differential equations. 1973 edition.

An Introduction To The Theory Of Large Deviations

Author: D.W. Stroock
Publisher: Springer Science & Business Media
ISBN: 1461385148
Size: 27.43 MB
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These notes are based on a course which I gave during the academic year 1983-84 at the University of Colorado. My intention was to provide both my audience as well as myself with an introduction to the theory of 1arie deviations • The organization of sections 1) through 3) owes something to chance and a great deal to the excellent set of notes written by R. Azencott for the course which he gave in 1978 at Saint-Flour (cf. Springer Lecture Notes in Mathematics 774). To be more precise: it is chance that I was around N. Y. U. at the time'when M. Schilder wrote his thesis. and so it may be considered chance that I chose to use his result as a jumping off point; with only minor variations. everything else in these sections is taken from Azencott. In particular. section 3) is little more than a rewrite of his exoposition of the Cramer theory via the ideas of Bahadur and Zabel. Furthermore. the brief treatment which I have given to the Ventsel-Freidlin theory in section 4) is again based on Azencott's ideas. All in all. the biggest difference between his and my exposition of these topics is the language in which we have written. However. another major difference must be mentioned: his bibliography is extensive and constitutes a fine introduction to the available literature. mine shares neither of these attributes. Starting with section 5).

Theory Of Markov Processes

Author: E. B. Dynkin
Publisher: Courier Corporation
ISBN: 0486154866
Size: 78.14 MB
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DIVAn investigation of the logical foundations of the theory behind Markov random processes, this text explores subprocesses, transition functions, and conditions for boundedness and continuity. 1961 edition. /div

Probability Theory

Author: Y. A. Rozanov
Publisher: Courier Corporation
ISBN: 0486321142
Size: 76.85 MB
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This clear exposition begins with basic concepts and moves on to combination of events, dependent events and random variables, Bernoulli trials and the De Moivre-Laplace theorem, and more. Includes 150 problems, many with answers.

Introduction To The Theory Of Random Processes

Author: Iosif Il?ich Gikhman
Publisher: Courier Corporation
ISBN: 0486693872
Size: 55.55 MB
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Rigorous exposition suitable for elementary instruction. Covers measure theory, axiomatization of probability theory, processes with independent increments, Markov processes and limit theorems for random processes, more. A wealth of results, ideas, and techniques distinguish this text. Introduction. Bibliography. 1969 edition.