04189nam 22006611 450 991045076680332120210721145055.01-280-85956-3978661085956690-474-0547-11-4337-0585-010.1163/9789047405474(CKB)1000000000334988(EBL)280704(OCoLC)191939960(SSID)ssj0000217808(PQKBManifestationID)11189928(PQKBTitleCode)TC0000217808(PQKBWorkID)10213208(PQKB)10985894(MiAaPQ)EBC280704(Au-PeEL)EBL280704(CaPaEBR)ebr10171584(CaONFJC)MIL85956(nllekb)BRILL9789047405474(EXLCZ)99100000000033498820210731d2004 uy 0engur|n|---|||||txtccrPapyrology and the History of Early Islamic Egypt /edited by Petra Sijpesteijn, Lennart SundelinLeiden; Boston :BRILL,2004.1 online resource (294 p.)Islamic History and Civilization ;55Description based upon print version of record.90-04-13886-2 Includes bibliographical references and index.Preface (A. L. Udovitch (Princeton University)); Acknowledgements; List of Plates; Notes on Abbreviations and Dates; Notes on Contributors; Schedule of the Conference ""Documentary Evidence and the History of Early Islamic Egypt"" (Cairo, 23-25 March 2002); Introduction: Papyrology and the Study of Early Islamic Egypt (Lennart Sundelin (Princeton University)); Papyrology and the Utilization of Coptic Sources (S. J. Clackson (Cambridge University)); Two Unpublished Paper Documents and a Papyrus (Alia Hanafi (Ain Shams University, Cairo))L'apport spécialement important de la papyrologie dans la transmission et la codification des plus anciennes versions des Mille et une nuits et d'autres livres des deux premiers siècles islamiques (O.Crum Ad. 15 and the Emergence of Arabic Words in Coptic Legal Documents (Tonio Sebastian Richter (Leipzig University)); Travel and Trade on the River (Petra M. Sijpesteijn (Oxford University)); Documentary Evidence for the Early History of the Barid (Adam Silverstein (Cambridge University))Egyptian Lexical Interference in the Greek of Byzantine and Early Islamic Egypt (Sofía Torallas Tovar (CSIC, Madrid))Sawirus ibn al-Muqaffa' and the Christians of Umayyad Egypt: War and Society in Documentary Context (Frank R. Trombley (University of Wales, Cardiff)); Town Quarters in Greek, Roman, Byzantine and Early Arab Egypt (K. A. Worp (Amsterdam University/Leiden University)); Plates; IndexTens of thousands of documents dating form the late Byzantine and early Islamic periods have been found in Egypt. These texts, written on papyrus and a variety of other materials, in Greek, Coptic Egyptian, and Arabic, offer a unique, but underutilized resource for the study of a society experiencing a profound transformation, this volume collects papers given at the conference "Documentary Evidence and the History of Early Islamic Egypt", including editions of previously unpublished Greek, Coptic, and Arabic documents, historical and linguistic studies which make use of documentary evidence, a discussion of the importance of Arabic literary papyri, and an introduction to papyrology and its relevance for the study of this period of Egyptian history. For more titles about Papyrology, please click here.Islamic History and Civilization ;55.HistorySourcesRegions & CountriesAfricaElectronic books.HistorySources.Regions & Countries962/.02Sijpesteijn PetraSundelin LennartNL-LeKBNL-LeKBBOOK9910450766803321Papyrology and the History of Early Islamic Egypt2463505UNINA05507nam 2200721 a 450 991102043930332120200520144314.09786613227997978128322799512832279919781118164396111816439397811181644021118164407(CKB)2550000000043362(EBL)818908(OCoLC)757394280(SSID)ssj0000544874(PQKBManifestationID)11327816(PQKBTitleCode)TC0000544874(PQKBWorkID)10553718(PQKB)11325313(MiAaPQ)EBC818908(PPN)250199033(Perlego)2775053(EXLCZ)99255000000004336219941006d1996 uy 0engur|n|---|||||txtccrSequential stochastic optimization /R. Cairoli, Robert C. DalangNew York J. Wiley & Sonsc19961 online resource (348 p.)Wiley series in probability and mathematical statistics"A Wiley-Interscience publication."9780471577546 0471577545 Includes bibliographical references and indexes.Sequential Stochastic Optimization; Contents; Preface; Notation and Conventions; 1. Preliminaries; 1.1 Filtered Probability Spaces; 1.2 Random Variables; 1.3 Stopping Points; 1.4 Increasing Paths and Accessible Stopping Points; 1.5 Some Operations on Accessible Stopping Points; 1.6 Stochastic Processes and Martingales; Exercises; Historical Notes; 2. Sums of Independent Random Variables; 2.1 Maximal Inequalities; 2.2 Integrability Criteria for the Supremum; 2.3 The Strong Law of Large Numbers; 2.4 Case Where the Random Variables Are Identically Distributed; Exercises; Historical Notes3. Optimal Stopping3.1 Stating the Problem; 3.2 Snell's Envelope; 3.3 Solving the Problem; 3.4 A Related Problem; 3.5 Maximal Accessible Stopping Points; 3.6 Case Where the Index Set is Finite; 3.7 An Application to Normalized Partial Sums; 3.8 Complements; Exercises; Historical Notes; 4. Reduction to a Single Dimension; 4.1 Linear Representation of Accessible Stopping Points; 4.2 Applications; 4.3 Linear Representation in the Setting of Inaccessible Stopping Points; Exercises; Historical Notes; 5. Accessibility and Filtration Structure; 5.1 Conditions for Accessibility5.2 Consequences for the Structure of the Filtration5.3 The Bidimensional Case; 5.4 Predictability of Optional Increasing Paths; 5.5 The Combinatorial Structure of a Filtration; 5.6 The Combinatorial Structure of a Filtration Satisfying COl; 5.7 Optimal Stopping and Linear Optimization; Exercises; Historical Notes; 6. Sequential Sampling; 6.1 Stating the Problem; 6.2 Constructing the Model; 6.3 The Reward Process and Snell's Envelope; 6.4 Describing the Optimal Strategy; 6.5 The Likelihood-Ratio Test; 6.6 Applications; 6.7 Complement; Exercises; Historical Notes; 7. Optimal Sequential Control7.1 An Example7.2 Preliminaries; 7.3 Controls; 7.4 Optimization; 7.5 Optimization Over Finite Controls; 7.6 Case Where the Index Set Is Finite; 7.7 Extension to General Index Sets; Exercises; Historical Notes; 8. Multiarmed Bandits; 8.1 Formulating the Problem; 8.2 Index Controls; 8.3 Gittins Indices; 8.4 Characterizing Optimal Controls; 8.5 Examples; Exercises; Historical Notes; 9. The Markovian Case; 9.1 Markov Chains and Superharmonic Functions; 9.2 Optimal Control of a Markov Chain; 9.3 The Special Case of a Random Walk9.4 Control and Stopping at the Time of First Visit to a Set of States9.5 Markov Structures; Exercises; Historical Notes; 10. Optimal Switching Between Two Random Walks; 10.1 Formulating and Solving the Problem; 10.2 Some Properties of the Solution; 10.3 The Structure of the Solution; 10.4 Constructing the Switching Curves; 10.5 Characterizing the Type of the Solution; 10.6 Determining the Type of the Solution; Exercises; Historical Notes; Bibliography; Index of Notation; Index of TermsSequential Stochastic Optimization provides mathematicians and applied researchers with a well-developed framework in which stochastic optimization problems can be formulated and solved. Offering much material that is either new or has never before appeared in book form, it lucidly presents a unified theory of optimal stopping and optimal sequential control of stochastic processes. This book has been carefully organized so that little prior knowledge of the subject is assumed; its only prerequisites are a standard graduate course in probability theory and some familiarity with discrete-parametWiley series in probability and mathematical statistics.Applied probability and statistics.Optimal stopping (Mathematical statistics)Dynamic programmingStochastic control theoryOptimal stopping (Mathematical statistics)Dynamic programming.Stochastic control theory.519.2Cairoli R(Renzo),1931-1994.1837694Dalang Robert C.1961-602758MiAaPQMiAaPQMiAaPQBOOK9911020439303321Sequential stochastic optimization4416486UNINA