Angebote zu "Martingale" (14 Treffer)

Kategorien

Shops

Stochastic Integration and Differential Equations
68,99 € *
ggf. zzgl. Versand

It has been 15 years since the first edition of Stochastic Integration and Differential Equations , A New Approach appeared, and in those years many other texts on the same subject have been published, often with connections to applications, especially mathematical finance. Yet in spite of the apparent simplicity of approach, none of these books has used the functional analytic method of presenting semimartingales and stochastic integration. Thus a 2nd edition seems worthwhile and timely, though it is no longer appropriate to call it "a new approach".The new edition has several significant changes, most prominently the addition of exercises for solution. These are intended to supplement the text, but lemmas needed in a proof are never relegated to the exercises. Many of the exercises have been tested by graduate students at Purdue and Cornell Universities. Chapter 3 has been completely redone, with a new, more intuitive and simultaneously elementary proof of the fundamental Doob-Meyer decomposition theorem, the more general version of the Girsanov theorem due to Lenglart, the Kazamaki-Novikov criteria for exponential local martingales to be martingales, and a modern treatment of compensators. Chapter 4 treats sigma martingales (important in finance theory) and gives a more comprehensive treatment of martingale representation, including both the Jacod-Yor theory and Emery's examples of martingales that actually have martingale representation (thus going beyond the standard cases of Brownian motion and the compensated Poisson process). New topics added include an introduction to the theory of the expansion of filtrations, a treatment of the Fefferman martingale inequality, and that the dual space of the martingale space H^1 can be identified with BMO martingales. Solutions to selected exercises are available at the web site of the author, with current URL http://www.orie.cornell.edu/~protter/books.html.

Anbieter: buecher
Stand: 21.10.2020
Zum Angebot
Backward Stochastic Differential Equations and ...
28,90 € *
ggf. zzgl. Versand

This book consists of four chapters. In first chapter there is a short review of theory of Backward Stochastic Differential Equations (BSDEs) and Bounded Mean Oscillation (BMO) martingales. In second chapter an interesting connections between theory of BSDEs and BMO martingales is studied. Using the BSDE tool a new proofs of some classical results on BMO martingales are provided. In Third chapter we have studied Backward Stochastic Differential Equations with a convex generator of quadratic growth. Existence and uniqueness of a solution is proved for such equations driven by continuous martingale with unbounded characteristic. Results on the existence and uniqueness for BSDEs with quadratic growth we have used in fourth chapter, to solve the linear-quadratic regulator (LQR) problem in general martingale setting. We derived the corresponding BSDE for LQR problem and expressed the optimal strategy of LQR problem in terms of the unique solution of corresponding BSDE.

Anbieter: Dodax
Stand: 21.10.2020
Zum Angebot
Séminaire de Probabilités XVIII 1982/83
69,90 CHF *
ggf. zzgl. Versand

Levels at which every Brownian excursion is exceptional.- Markov processes and convex minorants.- Brownian local times and branching processes.- On the ray topology.- Brownian motion on a surface of negative curvature.- Temps locaux et l'int¿ale d'aire de Lusin.- Sur les grandes deviations abstraites applications aux temps de sejours moyens d'un processus.- Une generalisation des semimaritingales : Les processus admettant un processus a accroissements independants tangent.- Path continuity and last exit distributions.- Diffusion de spheres dures dans la droite reelle : comportement macroscopique et equilibre local.- Approximation du crochet de certaines semimartingales continues.- Caracterisation des semimartingales.- Integrales stochastiques non monotones.- Une remarque sur une meme I.S. Calculee dans deux filtrations.- Remarques sur la Convergence des Martingales dans les Vari¿s.- Transformations de riesz pour les lois gaussiennes.- Sur l'inegalite de sobolev logarithmique de gross.- Etude probabiliste des transformees de riesz et de l'espace H1 sur les spheres.- Sur certaines generalisations de l'inegalit¿e Fefferman.- Quelques resultats de ¿mecanique stochastique¿.- Le theoreme de paul levy pour des mesures signees.- Two results on jump processes.- Un resultat d'approximation.- Calculs stochastiques directs sur les trajectoires et proprietes de boreliens porteurs.- Sur les suites de fonctions qui convergent sur les graphes.- Derivabilite des fonctions aleatoires.- Etude de la propriete de markov etroite en relation avec les processus planaires a accroissements independants.- Sur l'arret optimal de processus a temps multidimensionnel continu.- Sur la charge associee a une mesure aleatoire reelle stationnaire.- Densit¿es diffusions en temps petit: d¿loppements asymptotiques.- Rectification a un expose anterieur.- Sur l'exponentielle d'une martingale de bmo.- Fonctions convexes et semimartingales dans une variete.

Anbieter: Orell Fuessli CH
Stand: 21.10.2020
Zum Angebot
Backward Stochastic Differential Equations and ...
48,90 CHF *
ggf. zzgl. Versand

This book consists of four chapters. In first chapter there is a short review of theory of Backward Stochastic Differential Equations (BSDEs) and Bounded Mean Oscillation (BMO) martingales. In second chapter an interesting connections between theory of BSDEs and BMO martingales is studied. Using the BSDE tool a new proofs of some classical results on BMO martingales are provided. In Third chapter we have studied Backward Stochastic Differential Equations with a convex generator of quadratic growth. Existence and uniqueness of a solution is proved for such equations driven by continuous martingale with unbounded characteristic. Results on the existence and uniqueness for BSDEs with quadratic growth we have used in fourth chapter, to solve the linear-quadratic regulator (LQR) problem in general martingale setting. We derived the corresponding BSDE for LQR problem and expressed the optimal strategy of LQR problem in terms of the unique solution of corresponding BSDE.

Anbieter: Orell Fuessli CH
Stand: 21.10.2020
Zum Angebot
Martingale Spaces and Inequalities
132,00 CHF *
ggf. zzgl. Versand

In the past twenty years, the Hp-BMO Theory on Rn has undergone a flourishing development, which should partly give the credit to the application of some martin gale idea and methods. It would be valuable to exhibit some examples concerning this point. As one of the key parts of Calder6n-Zygmund's real method which first appeared in the 50's, Calder6n-Zygmund Decomposition is exactly the so-called stopping time argument in nature which already existed in the Probability Theory early in the 30's, although such a close relationship between Calder6n-Zygmund De composition and the stopping time argument perhaps was not realized consciously at that time. But after the 70's we actually used the stopping time argument in tentionally as a method of thinking in Analysis. Later, when classical Hp Theory had undergone an evolution from one chapter in the Complex Variable Theory to an independent branch (the key step to accelerate this evolution was D. Burkholder R. Gundy-M. Silverstein's well-known work in the early 70's on the maximal function characterization of Hp), Martingale Hp-BMO Theory soon appeared as a counter part of the classical Hp-BMO Theory. Owing to the simplicity of the structure in martingale setting, many new ideas and methods might be produced easier on this stage. These new things have shown a great effect on the classical Hp-BMO The ory. For example, the concept of atomic decomposition of H P was first germinated in martingale setting; the good >.

Anbieter: Orell Fuessli CH
Stand: 21.10.2020
Zum Angebot
Séminaire de Probabilités XIII
69,90 CHF *
ggf. zzgl. Versand

On the integrability of Banach space valued Walsh polynomials.- Le principe de sous-suites dans les espaces de Banach.- Domains of attraction in Banach spaces.- Charges, poids et mesures de Levy dans les espaces vectoriels localement convexes.- Random fourier series on locally compact abelian groups.- Une solution simple au probleme de Skorokhod.- Demonstration elementaire d'un resultat d'Azema et Jeulin.- Sauts additifs et sauts multiplicatifs des semi-martingales.- Le support exact du temps local d'une martingale continue.- Martingales locales a accroissements independants.- Decomposition de martingales locales et rarefaction des sauts.- Un critere previsible pour l'uniforme integrabilite des semimartingales exponentielles.- Sur la convergence des martingales indexees par ? ¿?.- Arret de certaines suites multiples de variables aleatoires independantes.- Une remarque sur le calcul stochastique dependant d'un parametre.- Quasimartingales et formes lineaires associees.- Sur la p-variation d'une surmartingale continue.- Sur la p-variation des surmartingales.- Une remarque sur l'expose precedent.- Representations multiplicatives de sousmartingales.- Caracterisation d'une classe de semimartingales.- Sur les integrales stochastiques de L.C. Young.- Une topologie sur l'espace des semimartingales.- Equations differentielles lipschitziennes etude de la stabilite.- Fonction maximale et variation quadratique des martingales en presence d'un poids.- Weighted norm inequalities for martingales.- Inegalites de normes avec poids.- In¿lit¿e Hardy, semimartingales, et faux-amis.- Sur l'expression de la dualit¿ntre H1 et BMO.- Inegalites de convexite pour les processus croissants et les sousmartingales.- Theoreme de separation dans le probleme d'arret optimal.- Martingales et changements de temps.- Quelques epilogues.- En cherchant une d¿nition naturelle des int¿ales stochastiques optionnelles.- Les filtrations de certaines martingales du mouvement brownien dans ?n.- Demonstration simple d'un resultat sur le temps local.- Temps local et balayage des semi-martingales.- Sur le balayage des semi-martingales continues.- Semimartingales et valeur absolue.- Sur une formule de la theorie du balayage.- Construction de quasimartingales s'annulant sur un ensemble donne.- Conditional excursion theory.- Problemes a frontiere libre et arbres de mesures.- Un th¿¿ de J.W. Pitman.- Mesures de probabilite sur les entiers et ensembles Progressions.- On the uniqueness of optimal controls.- Processus de diffusion gouverne par la forme de dirichlet de l'operateur de Schr¿dinger.- Operateur de Schr¿dinger a resolvante compacte.- Grossissement d'une filtration et applications.- Encore une remarque sur la ? formule de balayage ?.- Presentation de l'?inegalite de doob ? de metivier-pellaumail.- Solution explicite de l'equation .- Caracterisation des semimartingales, d'apres dellacherie.- Un exemple de J. Pitman.- Le probleme de skorokhod : complements a l'expose precedent.- A propos de la formule d'Azema-Yor.- Martingales de valeur absolue donnee, d'apres Protter et Sharpe.- On the left end points of Brownian excursions.

Anbieter: Orell Fuessli CH
Stand: 21.10.2020
Zum Angebot
Brownian Motion, Hardy Spaces and Bounded Mean ...
37,90 CHF *
ggf. zzgl. Versand

This exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean oscillation (BMO) introduces the subject by concentrating on the connection between the probabilistic and analytic approaches. Short surveys of classical results on the maximal, square and Littlewood-Paley functions and the theory of Brownian motion introduce a detailed discussion of the Burkholder-Gundy-Silverstein characterization of HP in terms of maximal functions. The book examines the basis of the abstract martingale definitions of HP and BMO, makes generally available for the first time work of Gundy et al. on characterizations of BMO, and includes a probabilistic proof of the Fefferman-Stein Theorem on the duality of H11 and BMO.

Anbieter: Orell Fuessli CH
Stand: 21.10.2020
Zum Angebot
Martingale Spaces and Inequalities
96,99 € *
ggf. zzgl. Versand

In the past twenty years, the Hp-BMO Theory on Rn has undergone a flourishing development, which should partly give the credit to the application of some martin gale idea and methods. It would be valuable to exhibit some examples concerning this point. As one of the key parts of Calder6n-Zygmund's real method which first appeared in the 50's, Calder6n-Zygmund Decomposition is exactly the so-called stopping time argument in nature which already existed in the Probability Theory early in the 30's, although such a close relationship between Calder6n-Zygmund De composition and the stopping time argument perhaps was not realized consciously at that time. But after the 70's we actually used the stopping time argument in tentionally as a method of thinking in Analysis. Later, when classical Hp Theory had undergone an evolution from one chapter in the Complex Variable Theory to an independent branch (the key step to accelerate this evolution was D. Burkholder R. Gundy-M. Silverstein's well-known work in the early 70's on the maximal function characterization of Hp), Martingale Hp-BMO Theory soon appeared as a counter part of the classical Hp-BMO Theory. Owing to the simplicity of the structure in martingale setting, many new ideas and methods might be produced easier on this stage. These new things have shown a great effect on the classical Hp-BMO The ory. For example, the concept of atomic decomposition of H P was first germinated in martingale setting; the good >.

Anbieter: Thalia AT
Stand: 21.10.2020
Zum Angebot
Séminaire de Probabilités XVIII 1982/83
46,99 € *
ggf. zzgl. Versand

Levels at which every Brownian excursion is exceptional.- Markov processes and convex minorants.- Brownian local times and branching processes.- On the ray topology.- Brownian motion on a surface of negative curvature.- Temps locaux et l'int¿ale d'aire de Lusin.- Sur les grandes deviations abstraites applications aux temps de sejours moyens d'un processus.- Une generalisation des semimaritingales : Les processus admettant un processus a accroissements independants tangent.- Path continuity and last exit distributions.- Diffusion de spheres dures dans la droite reelle : comportement macroscopique et equilibre local.- Approximation du crochet de certaines semimartingales continues.- Caracterisation des semimartingales.- Integrales stochastiques non monotones.- Une remarque sur une meme I.S. Calculee dans deux filtrations.- Remarques sur la Convergence des Martingales dans les Vari¿s.- Transformations de riesz pour les lois gaussiennes.- Sur l'inegalite de sobolev logarithmique de gross.- Etude probabiliste des transformees de riesz et de l'espace H1 sur les spheres.- Sur certaines generalisations de l'inegalit¿e Fefferman.- Quelques resultats de ¿mecanique stochastique¿.- Le theoreme de paul levy pour des mesures signees.- Two results on jump processes.- Un resultat d'approximation.- Calculs stochastiques directs sur les trajectoires et proprietes de boreliens porteurs.- Sur les suites de fonctions qui convergent sur les graphes.- Derivabilite des fonctions aleatoires.- Etude de la propriete de markov etroite en relation avec les processus planaires a accroissements independants.- Sur l'arret optimal de processus a temps multidimensionnel continu.- Sur la charge associee a une mesure aleatoire reelle stationnaire.- Densit¿es diffusions en temps petit: d¿loppements asymptotiques.- Rectification a un expose anterieur.- Sur l'exponentielle d'une martingale de bmo.- Fonctions convexes et semimartingales dans une variete.

Anbieter: Thalia AT
Stand: 21.10.2020
Zum Angebot