Asymptotic Moments and Distributions of the First Exit Time of Controlled Branching Processes
Author | : Robert Murray Lucas |
Publisher | : |
Total Pages | : 184 |
Release | : 1981 |
Genre | : Asymptotic expansions |
ISBN | : |
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Author | : Robert Murray Lucas |
Publisher | : |
Total Pages | : 184 |
Release | : 1981 |
Genre | : Asymptotic expansions |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 974 |
Release | : 1984 |
Genre | : Dissertations, Academic |
ISBN | : |
Vols. for 1973- include the following subject areas: Biological sciences, Agriculture, Chemistry, Environmental sciences, Health sciences, Engineering, Mathematics and statistics, Earth sciences, Physics, Education, Psychology, Sociology, Anthropology, History, Law & political science, Business & economics, Geography & regional planning, Language & literature, Fine arts, Library & information science, Mass communications, Music, Philosophy and Religion.
Author | : Institute of Mathematical Statistics |
Publisher | : |
Total Pages | : 770 |
Release | : 1983 |
Genre | : Mathematical statistics |
ISBN | : |
Author | : Jean-Francois Le Gall |
Publisher | : Birkhäuser |
Total Pages | : 170 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034886837 |
This book introduces several remarkable new probabilistic objects that combine spatial motion with a continuous branching phenomenon and are closely related to certain semilinear partial differential equations (PDE). The Brownian snake approach is used to give a powerful representation of superprocesses and also to investigate connections between superprocesses and PDEs. These are notable because almost every important probabilistic question corresponds to a significant analytic problem.
Author | : Richard Durrett |
Publisher | : Springer |
Total Pages | : 282 |
Release | : 2016-11-07 |
Genre | : Mathematics |
ISBN | : 3319456148 |
Building upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and option pricing. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader’s understanding. Drawing from teaching experience and student feedback, there are many new examples and problems with solutions that use TI-83 to eliminate the tedious details of solving linear equations by hand, and the collection of exercises is much improved, with many more biological examples. Originally included in previous editions, material too advanced for this first course in stochastic processes has been eliminated while treatment of other topics useful for applications has been expanded. In addition, the ordering of topics has been improved; for example, the difficult subject of martingales is delayed until its usefulness can be applied in the treatment of mathematical finance.
Author | : Howard M. Taylor |
Publisher | : Academic Press |
Total Pages | : 410 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483269272 |
An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.
Author | : Peter Mörters |
Publisher | : Cambridge University Press |
Total Pages | : |
Release | : 2010-03-25 |
Genre | : Mathematics |
ISBN | : 1139486578 |
This eagerly awaited textbook covers everything the graduate student in probability wants to know about Brownian motion, as well as the latest research in the area. Starting with the construction of Brownian motion, the book then proceeds to sample path properties like continuity and nowhere differentiability. Notions of fractal dimension are introduced early and are used throughout the book to describe fine properties of Brownian paths. The relation of Brownian motion and random walk is explored from several viewpoints, including a development of the theory of Brownian local times from random walk embeddings. Stochastic integration is introduced as a tool and an accessible treatment of the potential theory of Brownian motion clears the path for an extensive treatment of intersections of Brownian paths. An investigation of exceptional points on the Brownian path and an appendix on SLE processes, by Oded Schramm and Wendelin Werner, lead directly to recent research themes.