LEADER 04114nam 2200697Ia 450 001 9910782360903321 005 20200520144314.0 010 $a1-281-95423-3 010 $a9786611954239 010 $a0-387-78169-2 024 7 $a10.1007/978-0-387-78168-6 035 $a(CKB)1000000000546323 035 $a(EBL)417750 035 $a(OCoLC)317883343 035 $a(SSID)ssj0000227878 035 $a(PQKBManifestationID)11176529 035 $a(PQKBTitleCode)TC0000227878 035 $a(PQKBWorkID)10270049 035 $a(PQKB)11189192 035 $a(DE-He213)978-0-387-78169-3 035 $a(MiAaPQ)EBC417750 035 $a(Au-PeEL)EBL417750 035 $a(CaPaEBR)ebr10274633 035 $a(CaONFJC)MIL195423 035 $a(PPN)13286343X 035 $a(EXLCZ)991000000000546323 100 $a20080613d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aProbability models for DNA sequence evolution$b[electronic resource] /$fRichard Durrett 205 $a2nd ed. 210 $aNew York $cSpringer$dc2008 215 $a1 online resource (441 pages) 225 1 $aProbability and its applications 300 $aDescription based upon print version of record. 311 $a0-387-78168-4 320 $aIncludes bibliographical references (p. [399]-426)and index. 327 $aBasic Models -- Estimation and Hypothesis Testing -- Recombination -- Population Complications -- Stepping Stone Model -- Natural Selection -- Diffusion Processes -- Multidimensional Diffusions -- Genome Rearrangement. 330 $aHow is genetic variability shaped by natural selection, demographic factors, and random genetic drift? To approach this question, we introduce and analyze a number of probability models beginning with the basics, and ending at the frontiers of current research. Throughout the book, the theory is developed in close connection with examples from the biology literature that illustrate the use of these results. Along the way, there are many numerical examples and graphs to illustrate the conclusions. This is the second edition and is twice the size of the first one. The material on recombination and the stepping stone model have been greatly expanded, there are many results form the last five years, and two new chapters on diffusion processes develop that viewpoint. This book is written for mathematicians and for biologists alike. No previous knowledge of concepts from biology is assumed, and only a basic knowledge of probability, including some familiarity with Markov chains and Poisson processes. The book has been restructured into a large number of subsections and written in a theorem-proof style, to more clearly highlight the main results and allow readers to find the results they need and to skip the proofs if they desire. Rick Durrett received his Ph.D. in operations research from Stanford University in 1976. He taught in the UCLA mathematics department before coming to Cornell in 1985. He is the author of eight books and 160 research papers, most of which concern the use of probability models in genetics and ecology. He is the academic father of 39 Ph.D. students and was recently elected to the National Academy of Sciences. 410 0$aSpringer series in statistics.$pProbability and its applications. 606 $aEvolutionary genetics$xStatistical methods 606 $aNucleotide sequence$xStatistical methods 606 $aProbabilities 606 $aVariation (Biology)$xStatistical methods 615 0$aEvolutionary genetics$xStatistical methods. 615 0$aNucleotide sequence$xStatistical methods. 615 0$aProbabilities. 615 0$aVariation (Biology)$xStatistical methods. 676 $a572.8380727 676 $a576.50727 700 $aDurrett$b Richard$f1951-$055577 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782360903321 996 $aProbability models for DNA sequence evolution$93768141 997 $aUNINA