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LEADER 00000cam a2200000 i 4500
001 SCIDIR_ocn893872926
003 OCoLC
005 20231120111839.0
006 m o d
007 cr cnu---unuuu
008 141027s1974 nyu ob 000 0 eng d
040 |a OPELS  |b eng  |e rda  |e pn  |c OPELS  |d N$T  |d E7B  |d EBLCP  |d IDEBK  |d HEBIS  |d DEBSZ  |d OCLCQ  |d YDXCP  |d MERUC  |d OCLCQ  |d OCLCO  |d OCLCQ  |d UKAHL  |d OCLCQ  |d OCLCA  |d LUN  |d OCLCQ  |d OCLCO  |d OCLCQ  |d INARC  |d OCLCQ  |d OCLCO 
019 |a 898771996  |a 903965962 
020 |a 9781483218779  |q (electronic bk.) 
020 |a 1483218775  |q (electronic bk.) 
020 |z 0124862500 
020 |z 9780124862500 
035 |a (OCoLC)893872926  |z (OCoLC)898771996  |z (OCoLC)903965962 
050 4 |a QA274.22  |b .M32 1974eb 
072 7 |a MAT  |x 003000  |2 bisacsh 
072 7 |a MAT  |x 029000  |2 bisacsh 
082 0 4 |a 519.2  |2 22 
084 |a 31.70  |2 bcl 
084 |a 31.73  |2 bcl 
084 |a QH 170  |2 rvk 
084 |a SK 820  |2 rvk 
088 |a 74001640 
100 1 |a McShane, E. J.  |q (Edward James),  |d 1904-1989. 
245 1 0 |a Stochastic calculus and stochastic models /  |c E.J. McShane. 
264 1 |a New York :  |b Academic Press,  |c 1974. 
300 |a 1 online resource (x, 239 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Probability and mathematical statistics ;  |v 25 
504 |a Includes bibliographical references (page 235). 
588 0 |a Print version record. 
505 0 |a Front Cover; Stochastic Calculus and Stochastic Models; Copyright Page; Table of Contents; Preface; Acknowledgments; Chapter I. Introduction; 0 Motivation, and a Forward Look; 1 Random Variables; 2 Conditional Expectations; 3 Stochastic Processes; Chapter II. Stochastic Integrals; 1 Stochastic Models and Properties They Should Possess; 2 Definition of the Integral; 3 The Canonical Form; 4 Elementary Properties of the Integral; 5 The It�o-Belated Integral; Chapter III. Existence of Stochastic Integrals; 1 Fundamental Lemma; 2 Existence of the Stochastic Integral: First Theorem. 
505 8 |a 3 Second Existence Theorem4 Third and Fourth Existence Theorems; 5 The Vanishing of Certain Integrals; 6 Special Cases; 7 Examples: Brownian Motions; Point Processes; 8 Extension to the It�o-Belated Integral; Chapter IV. Continuity, Chain Rule, and Substitution; 1 Continuity of Sample Functions; 2 Differentiation of a Composite Function; 3 Applications of It�o's Differentiation Formula; 4 Substitution; 5 Extension to It�o-Belated Integrals; Chapter V. Stochastic Differential Equations; 1 Existence of Solutions of Stochastic Differential Equations. 
505 8 |a 2 Linear Differential Equations and Their Adjoints3 An Approximation Lemma; 4 The Cauchy-Maruyama Approximation; Chapter VI. Equations in Canonical Form; 1 Invariance under Change of Coordinates; 2 Runge-Kutta Approximations; 3 Comparision of Ordinary and Stochastic Differential Equations; 4 Rate of Convergence of Approximations to Solutions; 5 Continuous Dependence of the Solution on the Disturbance; 6 Justification of the Canonical Extension in Stochastic Modeling; References; Subject Index. 
520 |a Stochastic Calculus and Stochastic Models. 
650 0 |a Stochastic integrals. 
650 0 |a Stochastic differential equations. 
650 6 |a Int�egrales stochastiques.  |0 (CaQQLa)201-0044400 
650 6 |a �Equations diff�erentielles stochastiques.  |0 (CaQQLa)201-0042008 
650 7 |a MATHEMATICS  |x Applied.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Probability & Statistics  |x General.  |2 bisacsh 
650 7 |a Stochastic differential equations  |2 fast  |0 (OCoLC)fst01133506 
650 7 |a Stochastic integrals  |2 fast  |0 (OCoLC)fst01133512 
650 7 |a Stochastische Differentialgleichung  |2 gnd  |0 (DE-588)4057621-8 
650 7 |a Stochastisches Integral  |2 gnd  |0 (DE-588)4126478-2 
650 7 |a Wahrscheinlichkeitsrechnung  |2 gnd  |0 (DE-588)4064324-4 
776 0 8 |i Print version:  |a McShane, E.J. (Edward James), 1904-  |t Stochastic calculus and stochastic models  |z 0124862500  |w (DLC) 74001640  |w (OCoLC)980179 
830 0 |a Probability and mathematical statistics ;  |v 25. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780124862500  |z Texto completo