Topics in Stochastic Processes covers specific processes that have a definite physical interpretation and that explicit numerical results can be obtained. This book contains five chapters and begins with the L2 stochastic processes and the concept of prediction theory. The next chapter discusses the principles of ergodic theorem to real analysis, Markov chains, and information theory. Another chapter deals with the sample function behavior of continuous parameter processes. This chapter also explores the general properties of Martingales and Markov processes, as well as the one-dimensional Brownian motion. The aim of this chapter is to illustrate those concepts and constructions that are basic in any discussion of continuous parameter processes, and to provide insights to more advanced material on Markov processes and potential theory. The final chapter demonstrates the use of theory of continuous parameter processes to develop the Itô stochastic integral. This chapter also provides the solution of stochastic differential equations. This book will be of great value to mathematicians, engineers, and physicists.
This massive illustrated history of the courts and lawyers of New York from 1609-1925 contains a great deal of information that is not available elsewhere. Contents: Part I-Dutch Period: The Bases of American Law, The Dutch Legal System, The Patrons and Their Courts, Burgher Government, Dutch Magistrates. Part II-English Period: The Conflicting Land Titles, The Duke of York's Laws, The Leisler Case. Part III-American Period: Constitutional History, The Courts of Last Resort, The Supreme Court, The Court of Chancery. Part IV: Judicial Distracts and Associations of the Bar, Law Libraries and Law Schools. 59 illustrations.
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