04866nam 22008895 450 991043803260332120200705021218.01-4471-5343-X10.1007/978-1-4471-5343-6(CKB)3710000000002534(SSID)ssj0000963069(PQKBManifestationID)11532891(PQKBTitleCode)TC0000963069(PQKBWorkID)10979362(PQKB)10387953(DE-He213)978-1-4471-5343-6(MiAaPQ)EBC6315793(MiAaPQ)EBC1317776(Au-PeEL)EBL1317776(CaPaEBR)ebr10976132(OCoLC)870244199(PPN)172418046(EXLCZ)99371000000000253420130704d2013 u| 0engurnn|008mamaatxtccrProbability Models /by John Haigh2nd ed. 2013.London :Springer London :Imprint: Springer,2013.1 online resource (XII, 287 p. 17 illus.) Springer Undergraduate Mathematics Series,1615-2085Bibliographic Level Mode of Issuance: Monograph1-4471-5342-1 Includes bibliographical references and index.Probability Spaces -- Conditional Probability and Independence -- Common Probability Distributions -- Random Variables -- Sums of Random Variables -- Convergence and Limit Theorems -- Stochastic Processes in Discrete Time -- Stochastic Processes in Continuous Time -- Appendix: Common Distributions and Mathematical Facts.The purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability, such as that of a dice or cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This popular second edition textbook contains many worked examples and several chapters have been updated and expanded. Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument. Probability Models< is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics.Springer Undergraduate Mathematics Series,1615-2085ProbabilitiesComputer simulationMathematical statisticsOperations researchDecision makingComputer science—MathematicsComputer scienceMathematicsMathematical physicsProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Simulation and Modelinghttps://scigraph.springernature.com/ontologies/product-market-codes/I19000Probability and Statistics in Computer Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/I17036Operations Research/Decision Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/521000Mathematical Applications in Computer Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/M13110Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Probabilities.Computer simulation.Mathematical statistics.Operations research.Decision making.Computer science—Mathematics.Computer scienceMathematics.Mathematical physics.Probability Theory and Stochastic Processes.Simulation and Modeling.Probability and Statistics in Computer Science.Operations Research/Decision Theory.Mathematical Applications in Computer Science.Mathematical Applications in the Physical Sciences.519.2Haigh Johnauthttp://id.loc.gov/vocabulary/relators/aut261994MiAaPQMiAaPQMiAaPQBOOK9910438032603321Probability models703393UNINA