000			01589nam a22002177a 4500
003			OSt
005			20241113144205.0
008			200317b ||||| |||| 00| 0 eng d
020			_a9789380250137
040			_cEducational Supplies _aICTS-TIFR
050			_aQA274.GOS
100			_aA. Goswami
245			_aA course in applied stochastic processes
260			_aNew Delhi: _bHindustan Book Agency, _c[c2006]
300			_a214 p
490			_a Texts and Readings in Mathematics _v40
520			_aThis 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
650			_aMathematics
700			_aB. V. Rao
942			_2lcc _cBK
999			_c3050 _d3050