TY  - BOOK
AU  - A. Goswami 
AU  - B. V. Rao 
TI  - A course in applied stochastic processes
T2  -  Texts and Readings in Mathematics 
SN  - 9789380250137
AV  - QA274.GOS 
PY  - 2006///]
CY  - New Delhi
PB  - Hindustan Book Agency
KW  - Mathematics
N2  - This book is an introduction to applications of the theory of stochastic processes—more specifically Markov chain theory—in population dynamics, genetics, and epidemics. A prior exposure to basic probability theory should be helpful, but by no means essential. The book includes a quick review of probability that starts from elementary combinatorial probability and ends with some basic properties of diffusions, including a fairly extensive account of martingales and Markov chains, mostly with proofs. This is done fairly rigorously without using measure theoretic tools. In continuation of the effort to keep the prerequisites at the bare minimum, all the basic genetics the reader needs to know is included. Yet sophisticated material on Wright–Fisher and Moran models of genetics, including diffusion approximations, is presented. The material on epidemic models includes several important threshold theorems with carefully presented interpretation and complete proofs. --- summary provided by publisher
ER  -