LEADER 05384nam 22007575 450 001 996466403203316 005 20240213130819.0 010 $a3-030-69653-7 024 7 $a10.1007/978-3-030-69653-5 035 $a(CKB)5590000000487490 035 $a(MiAaPQ)EBC6644888 035 $a(Au-PeEL)EBL6644888 035 $a(OCoLC)1263871452 035 $a(DE-He213)978-3-030-69653-5 035 $a(PPN)258059672 035 $a(EXLCZ)995590000000487490 100 $a20210617d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Introduction to Continuous-Time Stochastic Processes$b[electronic resource] $eTheory, Models, and Applications to Finance, Biology, and Medicine /$fby Vincenzo Capasso, David Bakstein 205 $a4th ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2021. 215 $a1 online resource (574 pages) 225 1 $aModeling and Simulation in Science, Engineering and Technology,$x2164-3725 311 $a3-030-69652-9 327 $aForeword -- Preface to the Fourth Edition -- Preface to the Third Edition -- Preface to the Second Edition -- Preface -- Part I: Theory of Stochastic Processes -- Fundamentals of Probability -- Stochastic Processes -- The Itô Integral -- Stochastic Differential Equations -- Stability, Stationary, Ergodicity -- Part II: Applications of Stochastic Processes -- Applications to Finance and Insurance -- Applications to Biology and Medicine -- Measure and Integration -- Convergence of Probability Measures on Metric Spaces -- Diffusion Approximation of a Langevin System -- Elliptic and Parabolic Equations -- Semigroups of Linear Operators -- Stability of Ordinary Differential Equations -- References -- Nomenclature -- Index. 330 $aThis textbook, now in its fourth edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, it features concrete examples of modeling real-world problems from biology, medicine, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Unlike other books on stochastic methods that specialize in a specific field of applications, this volume examines the ways in which similar stochastic methods can be applied across di?erent ?elds. Beginning with the fundamentals of probability, the authors go on to introduce the theory of stochastic processes, the Itô Integral, and stochastic differential equations. The following chapters then explore stability, stationarity, and ergodicity. The second half of the book is dedicated to applications to a variety of fields, including finance, biology, and medicine. Some highlights of this fourth edition include a more rigorous introduction to Gaussian white noise, additional material on the stability of stochastic semigroups used in models of population dynamics and epidemic systems, and the expansion of methods of analysis of one-dimensional stochastic di?erential equations. An Introduction to Continuous-Time Stochastic Processes, Fourth Edition is intended for graduate students taking an introductory course on stochastic processes, applied probability, stochastic calculus, mathematical finance, or mathematical biology. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided. Researchers and practitioners in mathematical finance, biomathematics, biotechnology, and engineering will also find this volume to be of interest, particularly the applications explored in the second half of the book. 410 0$aModeling and Simulation in Science, Engineering and Technology,$x2164-3725 606 $aStochastic processes 606 $aStochastic models 606 $aMathematical models 606 $aSocial sciences$xMathematics 606 $aBiomathematics 606 $aStochastic Processes 606 $aStochastic Modelling 606 $aMathematical Modeling and Industrial Mathematics 606 $aMathematics in Business, Economics and Finance 606 $aMathematical and Computational Biology 606 $aProcessos estocāstics$2thub 606 $aModels matemātics$2thub 608 $aLlibres electrōnics$2thub 615 0$aStochastic processes. 615 0$aStochastic models. 615 0$aMathematical models. 615 0$aSocial sciences$xMathematics. 615 0$aBiomathematics. 615 14$aStochastic Processes. 615 24$aStochastic Modelling. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aMathematics in Business, Economics and Finance. 615 24$aMathematical and Computational Biology. 615 7$aProcessos estocāstics 615 7$aModels matemātics 676 $a519.2 700 $aCapasso$b Vincenzo$f1945-$051830 702 $aBakstein$b David$f1975- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466403203316 996 $aAn Introduction to Continuous-Time Stochastic Processes$92504060 997 $aUNISA LEADER 05621nam 2200709 a 450 001 9910830206203321 005 20201211095459.0 010 $a1-282-13882-0 010 $a9786612138829 010 $a1-4443-1957-4 010 $a1-4443-0666-9 035 $a(CKB)1000000000719851 035 $a(EBL)428163 035 $a(SSID)ssj0000354676 035 $a(PQKBManifestationID)11925308 035 $a(PQKBTitleCode)TC0000354676 035 $a(PQKBWorkID)10313582 035 $a(PQKB)10069210 035 $a(MiAaPQ)EBC428163 035 $a(OCoLC)476311830 035 $a(EXLCZ)991000000000719851 100 $a20070424d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aProblem-solving in conservation biology and wildlife management$b[electronic resource] $eexercises for class, field, and laboratory /$fJames P. Gibbs, Malcolm L. Hunter, Jr., Eleanor J. Sterling 205 $a2nd ed. 210 $aMalden, MA $cBlackwell Pub.$d2008 215 $a1 online resource (344 p.) 300 $aDescription based upon print version of record. 311 $a1-4051-5287-7 320 $aIncludes bibliographical references (p. [310]-315) and index. 327 $aProblem-Solving in Conservation Biology and Wildlife Management; Contents; Preface; Acknowledgments; Part 1 Introduction; Chapter 1: What is Biodiversity? Spiders as Exemplars of the Biodiversity Concept; Chapter 2: What is Conservation Biology? An Analysis of the Critical Ecosystem Partnership Fund's Strategies and Funding Priorities; Chapter 3: Why is Biodiversity Important? Why Is It Threatened? An Exploration with the IUCN ''Red List'' of Threatened Species; Part 2 Genes; Chapter 4: Population Genetics: Diversity Within Versus Diversity Among Populations 327 $aChapter 5: Genetic Drift: Establishing Population Management Targets to Limit Loss of Genetic DiversityChapter 6: Pedigree Management: Controlling the Effects of Inbreeding as Indicated by Fluctuating Asymmetry; Chapter 7: Landscape Genetics: Identifying Movement Corridors; Part 3 Populations; Chapter 8: Life Table Analysis: Balancing Commercial Fisheries with Sea Bird ''By-Catch''; Chapter 9: Population Viability Analysis: El Nin ?o Frequency and Penguin Population Persistence; Chapter 10: Habitat Loss and Fragmentation: Ecological Traps, Connectivity, and Issues of Scale 327 $aChapter 11: Diagnosing Declining Populations: Assessing Monitoring Data to Better Understand Causes of Rarity in an Endangered CactusChapter 12: Estimating Population Size with Line Transects and DISTANCE; Chapter 13: Analyzing Camera Trap Data with PRESENCE; Chapter 14: Estimating Population Size with Mark-recapture Data and MARK; Part 4 Species; Chapter 15: Estimating ''Biodiversity'': Indices, Effort, and Inference; Chapter 16: Designing a Zoo: Ex Situ Centers for Conservation, Research, and Education; Chapter 17: Plant Reintroductions: Reestablishing Extirpated Populations 327 $aChapter 18: Edge Effects: Designing a Nest Predation ExperimentPart 5 Ecosystems and Landscapes; Chapter 19: Ecosystem Fragmentation: Patterns and Consequences for Biodiversity; Chapter 20: Forest Harvesting: Balancing Timber Production and Parrot Habitat; Chapter 21: Protected Areas: A Systematic Conservation Planning Approach for Ecoregions; Chapter 22: Island Biogeography: How Park Size and Condition Affect the Number of Species Protected; Chapter 23: GIS for Conservation: Mapping and Analyzing Distributions of Wild Potato Species for Reserve Design 327 $aChapter 24: Global Change: Will a Cold-Adapted Frog Survive in a Warmer World?Chapter 25: Climate Envelope Modeling: Inferring the Ranges of Species to Facilitate Biological Exploration, Conservation Planning, and Threat Analysis; Part 6 Policy and Organizations; Chapter 26: Population, Consumption, or Governance: Which Drives Species Imperilment Most in Africa and Europe?; Chapter 27: Overconsumption: Who's Smarter ... Students or their Professors?; Chapter 28: Conservation Values: Assessing Public Attitudes 327 $aChapter 29: Priority Setting: Where Around the Globe Should We Invest Our Conservation Efforts? 330 $aThis set of exercises has been created expressly for students and teachers of conservation biology and wildlife management who want to have an impact beyond the classroom. The book presents a set of 32 exercises that are primarily new and greatly revised versions from the book's successful first edition. These exercises span a wide range of conservation issues: genetic analysis, population biology and management, taxonomy, ecosystem management, land use planning, the public policy process and more. All exercises discuss how to take what has been learned and apply it to practical, real-world is 606 $aConservation biology 606 $aWildlife management 606 $aConservation biology$vProblems, exercises, etc 606 $aWildlife management$vProblems, exercises, etc 615 0$aConservation biology. 615 0$aWildlife management. 615 0$aConservation biology 615 0$aWildlife management 676 $a333.9516 676 $a577 676 $a639.9 700 $aGibbs$b James P$0471888 701 $aHunter$b Malcolm L$0312626 701 $aSterling$b Eleanor J$0791749 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910830206203321 996 $aProblem-solving in conservation biology and wildlife management$91770195 997 $aUNINA