03907nam 22004935 450 991103515940332120251027120459.09783031893117(electronic bk.)978303189310010.1007/978-3-031-89311-7(MiAaPQ)EBC32378356(Au-PeEL)EBL32378356(CKB)41801726200041(DE-He213)978-3-031-89311-7(EXLCZ)994180172620004120251027d2025 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierCoupling and Ergodic Theorems for Semi-Markov-Type Processes I Markov Chains, Renewal, and Regenerative Processes /by Dmitrii Silvestrov1st ed. 2025.Cham :Springer Nature Switzerland :Imprint: Springer,2025.1 online resource (906 pages)Mathematics and Statistics SeriesPrint version: Silvestrov, Dmitrii Coupling and Ergodic Theorems for Semi-Markov-Type Processes I Cham : Springer,c2025 9783031893100 Preface -- Introduction -- Coupling for Random Variables -- Coupling and Ergodic Theorems for Finite Markov Chains -- Coupling and Ergodic Theorems for General Markov Chains -- Hitting Times and Method of Test Functions -- Approaching of Renewal Schemes -- Synchronizing of Shifted Renewal Schemes -- Coupling for Renewal Schemes -- Coupling and Ergodic Theorems for Regenerative Processes -- Uniform Ergodic Theorems for Regenerative Processes -- Generalized Ergodic Theorems for Regenerative Processes -- Coupling and the Renewal Theorem -- Appendix A. Basic Ergodic Theorems for Regenerative Processes -- Appendix B. Methodological and Bibliographical Notes -- References -- Index.Ergodic theorems are a cornerstone of the theory of stochastic processes and their applications. This volume delves into ergodic theorems with explicit power and exponential upper bounds for convergence rates, focusing on Markov chains, renewal processes, and regenerative processes. The book offers a powerful and constructive probabilistic framework by employing the elegant coupling method in conjunction with test functions. Theoretical findings are illustrated with applications to perturbed stochastic networks, alternating Markov processes, risk processes, quasi-stationary distributions, and the renewal theorem, all of which feature explicit convergence rate bounds. Many results presented here are groundbreaking, appearing in publication for the first time. This is the first volume of a two-volume monograph dedicated to ergodic theorems. While this volume centers on Markovian and regenerative models, the second volume extends the scope to semi-Markov processes and multi-alternating regenerative processes with semi-Markov modulation. Designed with researchers and advanced students in mind, the content is thoughtfully structured by complexity, making it suitable for self-study or as a resource for upper-level coursework. Each chapter is self-contained and complemented by a comprehensive bibliography, ensuring its value as a long-lasting reference. An essential resource for theoretical and applied research, this book significantly contributes to the field of stochastic processes and will remain a key reference for years to come.Mathematics and Statistics SeriesProbabilitiesProbability TheoryApplied ProbabilityProbabilities.Probability Theory.Applied Probability.519.233Silvestrov Dmitrii767380MiAaPQMiAaPQMiAaPQ9911035159403321Coupling and Ergodic Theorems for Semi-Markov-Type Processes I4450367UNINA03714nam 22006495 450 991029943830332120251116134554.04-431-55564-110.1007/978-4-431-55564-3(CKB)3710000000414329(EBL)2095740(SSID)ssj0001501091(PQKBManifestationID)11830209(PQKBTitleCode)TC0001501091(PQKBWorkID)11523074(PQKB)11586172(DE-He213)978-4-431-55564-3(MiAaPQ)EBC2095740(PPN)18602813X(EXLCZ)99371000000041432920150511d2015 u| 0engur|n|---|||||txtccrApplication of the SWAT Model for Water Components Separation in Iran /by Majid Hosseini, Muhammad Aqeel Ashraf1st ed. 2015.Tokyo :Springer Japan :Imprint: Springer,2015.1 online resource (113 p.)Springer Hydrogeology,2364-6454Description based upon print version of record.4-431-55563-3 Includes bibliographical references at the end of each chapters.Effect of Land Use Changes on Water Balance and Sediment Yield -- Effect of Land Use Changes on Water Balance and Sediment Yield in Iran -- Taleghan Catchment -- Effect of Land Use Changes on Water Balance in Taleghan Catchment, Iran: A Case Study.Water balance studies for large and small river basins are the subject of this book. Here, the specific focus is on the soil and water assessment tools (SWAT) model coupled with geographic information system (GIS) remote sensing data for a comprehensive study. Some books available in the market provide an overview of different hydrological models for water balance but not specifically for the SWAT model. This book effectively utilizes the SWAT model to study the water balances in small and large catchments with consistent competence and excellent accuracy for yearly and monthly water balance modules along with suspended sediment yield over several slope classes of the catchments. The approach is new and has been successfully utilized, as discussed in a case study on the Taleghan Catchment in Iran. These implementation models may assist as advantageous techniques for incorporated management of catchments in the direction of sustainable development. This book will help readers who wish to study all the changes related to those in water balances.Springer Hydrogeology,2364-6454HydrogeologyHydrologyGeographic information systemsHydrogeologyhttps://scigraph.springernature.com/ontologies/product-market-codes/G19005Hydrology/Water Resourceshttps://scigraph.springernature.com/ontologies/product-market-codes/211000Geographical Information Systems/Cartographyhttps://scigraph.springernature.com/ontologies/product-market-codes/J13000Hydrogeology.Hydrology.Geographic information systems.Hydrogeology.Hydrology/Water Resources.Geographical Information Systems/Cartography.551.48551.4801/1Hosseini Majidauthttp://id.loc.gov/vocabulary/relators/aut1063123Ashraf Muhammad Aqeelauthttp://id.loc.gov/vocabulary/relators/autBOOK9910299438303321Application of the SWAT Model for Water Components Separation in Iran2530669UNINA