Background
Woyczynski, Wojbor Andrzej was born on October 24, 1943 in Czestochowa, Poland. Son of Eugeniusz and Otylia Sabina (Borkiewicz) Woyczynski. came to the United States, 1970.
(The present book is based on a course developed as partof...)
The present book is based on a course developed as partofthe large NSF-funded GatewayCoalitionInitiativeinEngineeringEducationwhichincludedCaseWest ern Reserve University, Columbia University, Cooper Union, Drexel University, Florida International University, New Jersey Institute ofTechnology, Ohio State University, University ofPennsylvania, Polytechnic University, and Universityof South Carolina. The Coalition aimed to restructure the engineering curriculum by incorporating the latest technological innovations and tried to attract more and betterstudents to engineering and science. Draftsofthis textbookhave been used since 1992instatisticscoursestaughtatCWRU, IndianaUniversity, Bloomington, and at the universities in Gottingen, Germany, and Grenoble, France. Another purpose of this project was to develop a courseware that would take advantage ofthe Electronic Learning Environment created by CWRUnet-the all fiber-optic Case Western Reserve University computer network, and its ability to let students run Mathematica experiments and projects in their dormitory rooms, and interactpaperlessly with the instructor. Theoretically, onecould try togothroughthisbook withoutdoing Mathematica experimentsonthecomputer, butitwouldbelikeplayingChopin's Piano Concerto in E-minor, or Pink Floyd's The Wall, on an accordion. One would get an idea ofwhatthe tune was without everexperiencing the full richness andpowerofthe entire composition, and the whole ambience would be miscued.
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(This book studies the foundations of the theory of linear...)
This book studies the foundations of the theory of linear and nonlinear forms in single and multiple random variables including the single and multiple random series and stochastic integrals, both Gaussian and non-Gaussian. This subject is intimately connected with a number of classical problems of probability theory such as the summation of independent random variables, martingale theory, and Wiener's theory of polynomial chaos. The book contains a number of older results as well as more recent, or previously unpublished, results. The emphasis is on domination principles for comparison of different sequences of random variables and on decoupling techniques. These tools prove very useful in many areas ofprobability and analysis, and the book contains only their selected applications. On the other hand, the use of the Fourier transform - another classical, but limiting, tool in probability theory - has been practically eliminated. The book is addressed to researchers and graduate students in prob ability theory, stochastic processes and theoretical statistics, as well as in several areas oftheoretical physics and engineering. Although the ex position is conducted - as much as is possible - for random variables with values in general Banach spaces, we strive to avoid methods that would depend on the intricate geometric properties of normed spaces. As a result, it is possible to read the book in its entirety assuming that all the Banach spaces are simply finite dimensional Euclidean spaces.
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Woyczynski, Wojbor Andrzej was born on October 24, 1943 in Czestochowa, Poland. Son of Eugeniusz and Otylia Sabina (Borkiewicz) Woyczynski. came to the United States, 1970.
Master of Science in Electrical Engineering, Wroclaw (Poland) Polytechnic, 1966; Doctor of Philosophy in Mathematics, Wroclaw U., 1968.
Assistant professor Institute Mathematics Wroclaw U., 1968-1972;
associate professor, Wroclaw U., 1972-1977;
professor department mathematics, Cleveland State University, 1977-1982;
professor, department chairman mathematics and statistics, Case Western Reserve U., Cleveland, 1982-1991;
director Center for Stochastic and Chaotic Processes in Science and Technology, Case Western Reserve U., Cleveland, since 1989. Research fellow Institute Mathematics Polish Academy Sciences, Warsaw, 1969-1976. Postdoctoral fellow Carnegie-Mellon U., Pittsburgh, 1970-1972.
Visiting associate professor Northwestern University, Evanston, Illinois, 1976-1977. Visiting professor Aarhus (Denmark) U., 1972, U. Paris, 1973, University of Wisconsin, Madison, 1976, University of Southern California, 1979, U. North Carolina, Chapel Hill, 1983-1984, Gottingen (Germany) U., 1985, 91, 96, U. NSW, Sydney, Australia, 1988, Nagoya (Japan) U., 1992, 93, 94, University of Minnesota, Minneapolis, 1994, Tokyo U., 1997, Princeton University, 1998.
(The present book is based on a course developed as partof...)
(This book studies the foundations of the theory of linear...)
Fellow Institute Mathematics Statistics. Member American Mathematics Society, American Statistical Association, Polish Mathematics Society (Great prize 1972), Polish Institute Arts and Sciences, Racquet Club East, Rowfant Club.
Married Elizabeth W. Holbrook. Children: Lauren Pike, Gregory Holbrook, Martin Wojbor.