Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

DeepDyve requires Javascript to function. Please enable Javascript on your browser to continue.

A Course in Applied Stochastic Processes

Part of the Texts and Readings in Mathematics Book Series (volume 40)

DOI: 10.1007/978-93-86279-31-6

ISBN: 978-81-85931-69-2

Publisher: Hindustan Book Agency - Springer Journals

May 19, 2017

LitStream

Chapter 1Probability Tools and Techniques

Goswami, A.; Rao, B. V.

Pages: 1 –70

[The theory of probability is a mathematical theory to analyze experiments with multiple outcomes where one does not know a priori which outcome will actually occur. Such experiments are usually called random experiments. A natural and accepted way to model such phenomena is to associate a number...
LitStream

Chapter 2Branching Processes

Goswami, A.; Rao, B. V.

Pages: 71 –96

[Historically, it was in 1874 that Sir Francis Galton and H.W.Watson, while investigating the problem of “the extinction of family names” in England, formulated a simple but elegant mathematical model for the evolution of a family over successive generations. This was the first significant...
LitStream

Chapter 3Basic Mathematical Genetics

Goswami, A.; Rao, B. V.

Pages: 97 –128

[In this chapter, we start with a brief review of a few relevant facts from genetics, which is done in Section 1. We shall only recall just enough genetics that is needed in order to form an idea of the phenomena to be modelled in the subsequent sections. In Section 2, we proceed to the...
LitStream

Chapter 4Markov Models in Genetics

Goswami, A.; Rao, B. V.

Pages: 129 –170

[Markov chain models have been the most widely used ones in the study of random fluctuations in the genetic compositions of populations over generations. Besides being a convenient theoretical tool, Markov chains have provided rather satisfactory theoretical explanations to some observed long-run...
LitStream

Chapter 5Models in Epidemics

Goswami, A.; Rao, B. V.

Pages: 171 –211

[One of the important areas of real-life applications of stochastic processes is in epidemiology, more specifically, in analyzing the spread of epidemics. Roughly speaking, the situation that we want to look at is as follows. There is a group of individuals, all mixing homogeneously together. Due...

results per page

Prev
1
Next

Browse All eBooks