LEADER 05346nam 2200625 450 001 9910464771303321 005 20200520144314.0 010 $a1-118-83198-5 010 $a1-118-83757-6 035 $a(CKB)3710000000117842 035 $a(EBL)1686559 035 $a(MiAaPQ)EBC1686559 035 $a(CaSebORM)9781118831984 035 $a(Au-PeEL)EBL1686559 035 $a(CaPaEBR)ebr10876078 035 $a(CaONFJC)MIL613384 035 $a(OCoLC)862041539 035 $a(EXLCZ)993710000000117842 100 $a20140614h20142014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aMeasure, probability, and mathematical finance $ea problem oriented approach /$fGuojun Gan, Chaoqun Ma, Hong Xie 205 $a1st edition 210 1$aHoboken, New Jersey :$cWiley,$d2014. 210 4$dİ2014 215 $a1 online resource (741 p.) 300 $aDescription based upon print version of record. 311 $a1-118-83196-9 320 $aIncludes bibliographical references and index. 327 $aMEASURE, PROBABILITY, AND MATHEMATICAL FINANCE: A Problem-Oriented Approach; Copyright; CONTENTS; Preface; Financial Glossary; PART I MEASURE THEORY; 1 Sets and Sequences; 1.1 Basic Concepts and Facts; 1.2 Problems; 1.3 Hints; 1.4 Solutions; 1.5 Bibliographic Notes; 2 MEASURES; 2.1 Basic Concepts and Facts; 2.2 Problems; 2.3 Hints; 2.4 Solutions; 2.5 Bibliographic Notes; 3 EXTENSION OF MEASURES; 3.1 Basic Concepts and Facts; 3.2 Problems; 3.3 Hints; 3.4 Solutions; 3.5 Bibliographic Notes; 4 LEBESGUE-STIELT JES MEASURES; 4.1 Basic Concepts and Facts; 4.2 Problems; 4.3 Hints; 4.4 Solutions 327 $a4.5 Bibliographic Notes5 MEASURABLE FUNCTIONS; 5.1 Basic Concepts and Facts; 5.2 Problems; 5.3 Hints; 5.4 Solutions; 5.5 Bibliographic Notes; 6 LEBESGUE INTEGRATION; 6.1 Basic Concepts and Facts; 6.2 Problems; 6.3 Hints; 6.4 Solutions; 6.5 Bibliographic Notes; 7 THE RADON-NIKODYM THEOREM; 7.1 Basic Concepts and Facts; 7.2 Problems; 7.3 Hints; 7.4 Solutions; 7.5 Bibliographic Notes; 8 LP SPACES; 8.1 Basic Concepts and Facts; 8.2 Problems; 8.3 Hints; 8.4 Solutions; 8.5 Bibliographic Notes; 9 CONVERGENCE; 9.1 Basic Concepts and Facts; 9.2 Problems; 9.3 Hints; 9.4 Solutions 327 $a9.5 Bibliographic Notes10 PRODUCT MEASURES; 10.1 Basic Concepts and Facts; 10.2 Problems; 10.3 Hints; 10.4 Solutions; 10.5 Bibliographic Notes; PART IIPROBABILITY THEORY; 11 EVENTS AND RANDOM VARIABLES; 11.1 Basic Concepts and Facts; 11.2 Problems; 11.3 Hints; 11.4 Solutions; 11.5 Bibliographic Notes; 12 INDEPENDENCE; 12.1 Basic Concepts and Facts; 12.2 Problems; 12.3 Hints; 12.4 Solutions; 12.5 Bibliographic Notes; 13 EXPECTATION; 13.1 Basic Concepts and Facts; 13.2 Problems; 13.3 Hints; 13.4 Solutions; 13.5 Bibliographic Notes; 14 CONDITIONAL EXPECTATION; 14.1 Basic Concepts and Facts 327 $a14.2 Problems14.3 Hints; 14.4 Solutions; 14.5 Bibliographic Notes; 15 INEQUALITIES; 15.1 Basic Concepts and Facts; 15.2 Problems; 15.3 Hints; 15.4 Solutions; 15.5 Bibliographic Notes; 16 LAW OF LARGE NUMBERS; 16.1 Basic Concepts and Facts; 16.2 Problems; 16.3 Hints; 16.4 Solutions; 16.5 Bibliographic Notes; 17 CHARACTERISTIC FUNCTIONS; 17.1 Basic Concepts and Facts; 17.2 Problems; 17.3 Hints; 17.4 Solutions; 17.5 Bibliographic Notes; 18 DISCRETE DISTRIBUTIONS; 18.1 Basic Concepts and Facts; 18.2 Problems; 18.3 Hints; 18.4 Solutions; 18.5 Bibliographic Notes; 19 CONTINUOUS DISTRIBUTIONS 327 $a19.1 Basic Concepts and Facts19.2 Problems; 19.3 Hints; 19.4 Solutions; 19.5 Bibliographic Notes; 20 CENTRAL LIMIT THEOREMS; 20.1 Basic Concepts and Facts; 20.2 Problems; 20.3 Hints; 20.4 Solutions; 20.5 Bibliographic Notes; PART III STOCHASTIC PROCESSES; 21 STOCHASTIC PROCESSES; 21.1 Basic Concepts and Facts; 21.2 Problems; 21.3 Hints; 21.4 Solutions; 21.5 Bibliographic Notes; 22 MARTINGALES; 22.1 Basic Concepts and Facts; 22.2 Problems; 22.3 Hints; 22.4 Solutions; 22.5 Bibliographic Notes; 23 STOPPING TIMES; 23.1 Basic Concepts and Facts; 23.2 Problems; 23.3 Hints; 23.4 Solutions 327 $a23.5 Bibliographic Notes 330 $a An introduction to the mathematical theory and financial models developed and used on Wall Street Providing both a theoretical and practical approach to the underlying mathematical theory behind financial models, Measure, Probability, and Mathematical Finance: A Problem-Oriented Approach presents important concepts and results in measure theory, probability theory, stochastic processes, and stochastic calculus. Measure theory is indispensable to the rigorous development of probability theory and is also necessary to properly address martingale measures, the change of num 606 $aFinance$xMathematical models 606 $aSocial sciences$xResearch$xStatistical methods 608 $aElectronic books. 615 0$aFinance$xMathematical models. 615 0$aSocial sciences$xResearch$xStatistical methods. 676 $a332.01/5195 700 $aGan$b Guojun$f1979-$0311173 702 $aMa$b Chaoqun 702 $aXie$b Hong 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910464771303321 996 $aMeasure, probability, and mathematical finance$91976817 997 $aUNINA