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010   $a9789819761524$b(electronic bk.)
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024 7 $a10.1007/978-981-97-6152-4
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035   $a(DE-He213)978-981-97-6152-4
035   $a(OCoLC)1528361458
035   $a(EXLCZ)9939572569700041
100   $a20250703d2025      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aIntroduction to Stochastic Processes $eQueues, Finance, and Credit Risk /$fby Dharmaraja Selvamuthu
205   $a1st ed. 2025.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2025.
215   $a1 online resource (830 pages)
225 1 $aUniversity Texts in the Mathematical Sciences,$x2731-9326
311 08$aPrint version: Selvamuthu, Dharmaraja Introduction to Stochastic Processes Singapore : Springer,c2025 9789819761517 
327   $aPreface -- 1. Introduction to Stochastic Processes -- 2. Discrete Time Markov Chains - Part I -- 3. Discrete Time Markov Chains - Part II -- 4. Continuous Time Markov Chains, Part I -- 5. Continuous Time Markov Chains, Part II -- 6. Continuous Time Markov Chains, Part III -- 7. Simple Markov Queueing Models -- 8. Advanced Markov Queueing Models -- 9. Non-Markov Processes -- 10. Non-Markov Queueing Models -- 11. Diffusion and Jump-diffusion Processes -- 12. Stochastic Calculus -- 13. Stochastic Differential Equations -- 14. Applications to Finance - Option Pricing- 15. Applications to Finance - Credit Risk -- 16. Applications to Finance - Insurance Problems -- Appendix.
330   $aThis is an essential textbook for senior undergraduate and graduate students of statistics, stochastic processes, stochastic finance, and probability theory. It covers all the important notations of probability theory and stochastic processes that are crucial for students to overcome their initial challenges during their studies. It thoroughly discusses the concepts of stochastic processes, both Markov and non-Markov processes, as well as stochastic calculus. With a special focus on finance, the book dedicates three chapters to explore the applications of stochastic processes in options, credit risk and insurance. Organized into sixteen chapters and one appendix, the book takes the readers to a well-organized learning. To fully grasp the intricacies of stochastic processes, students are expected to have a solid grounding in real analysis, linear algebra, and differential equations. Practical examples are emphasized throughout the book, carefully selected from various fields. The exercises at the end of each chapter are designed with the same objective in mind. Stochastic processes play a significant role in various scientific disciplines and real-life applications. .
410  0$aUniversity Texts in the Mathematical Sciences,$x2731-9326
606   $aStochastic processes
606   $aMarkov processes
606   $aQueuing theory
606   $aProbabilities
606   $aStochastic Processes
606   $aMarkov Process
606   $aQueueing Theory
606   $aProbability Theory
615  0$aStochastic processes.
615  0$aMarkov processes.
615  0$aQueuing theory.
615  0$aProbabilities.
615 14$aStochastic Processes.
615 24$aMarkov Process.
615 24$aQueueing Theory.
615 24$aProbability Theory.
676   $a519.23
700   $aSelvamuthu$b Dharmaraja$0767983
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
912   $a9911015859503321
996   $aIntroduction to Stochastic Processes$94409189
997   $aUNINA