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Martingales on Jump Processes. I: Representation Results
6 references·12 citing·31 second hop
Martingales on Jump Processes. I: Representation Results (1975)Martingales on Jump Processes. I: Represe…Dynamic Programming Conditions for Partially Observable Stochastic Systems (1973)Dynamic Programming Condition…Existence of Optimal Stochastic Control Laws (1971)Existence of Optimal Stochast…The Representation of Functionals of Brownian Motion by Stochastic Integrals (1970)The Representation of Functio…Quelques applications de la formule de changement de variables pour les semimartingales (1970)Quelques applications de la f…On Square Integrable Martingales (1967)On Square Integrable Martinga…On Transforming a Certain Class of Stochastic Processes by Absolutely Continuous Substitution of Measures (1960)On Transforming a Certain Cla…Backward stochastic differential equations associated to jump Markov processes and applications (2013)Backward stochastic different…Backward Stochastic Differential Equations and Optimal Control of Marked Point Processes (2013)Backward Stochastic Different…About the Pricing Equations in Finance (2010)About the Pricing Equations i…Martingale Representation and All That (2006)Martingale Representation and…Martingale methods in stochastic control (2005)Martingale methods in stochas…An Equilibrium Model of Catastrophe Insurance Futures and Spreads (1999)An Equilibrium Model of Catas…A Jump/Diffusion Consumption‐Based Capital Asset Pricing Model and the Equity Premium Puzzle (1993)A Jump/Diffusion Consumption‐…A review on stochastic differential equations for applications in hydrology (1987)A review on stochastic differ…Modeling and analysis of stochastic differential equations driven by point processes (1978)Modeling and analysis of stoc…Weak convergence of stochastic integrals related to counting processes (1977)Weak convergence of stochasti…Optimal Control of Jump Processes (1977)Optimal Control of Jump Proce…The Representation of Martingales of Jump Processes (1976)The Representation of Marting…Optimum consumption and portfolio rules in a continuous-time model (1971)On the optimal control of stochastic systems with an exponential-of-integral performance index (1981)A Dynamic Airline Seat Inventory Control Model and Its Optimal Policy (2001)An Invariance Principle in Large Population Stochastic Dynamic Games (2007)Multiple Wiener Integral (1951)On stochastic differential equations (1951)Semi-martingale inequalities via the Garsia-Rodemich-Rumsey lemma, and applications to local times (1982)A variational problem arising in financial economics (1991)On the relation between ordinary and stochastic differential equations (1965)A New Representation for Stochastic Integrals and Equations (1966)Stochastic Differential Equations (1972)Jump-Diffusion Approximations for Ordinary Differential Equations with Wide-Band Random Right Hand Sides (1979)On Wong-Zakai approximation of stochastic differential equations (1983)The Valuation of Uncertain Income Streams and the Pricing of Options (1976)Options, Futures, and Other Derivative Securities. (1990)Dynamic Asset Pricing Theory. (1993)Accuracy of Premium Calculation Models for CAT Bonds—An Empirical Analysis (2012)Stochastic integrals in the plane (1975)IMPLEMENTING ARROW-DEBREU EQUILIBRIA BY CONTINUOUS TRADING OF FEW LONG-LIVED SECURITIES (2005)Applied Stochastic Processes and Control for Jump-Diffusions: Modeling, Analysis and Computation (2007)Sur l'int�grabilit� uniforme des martingales exponentielles (1978)Calcul des variations stochastique et processus de sauts (1983)Deep learning volatility: a deep neural network perspective on pricing and calibration in (rough) volatility models (2020)Optimal stopping of a piecewise-deterministic markov process (1986)General necessary conditions for optimal control of stochastic systems (1976)BSDEs and risk-sensitive control, zero-sum and nonzero-sum game problems of stochastic functional differential equations (2003)Diffusion processes with continuous coefficients, I (1969)Optimization Problems in the Theory of Continuous Trading (1989)Asset Prices in an Exchange Economy with Habit Formation (1991)Compactification methods in the control of degenerate diffusions: existence of an optimal control (1987)ANTICIPATED BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS 1 (2012)
this work references cited by second hop

References

  • 1960On Transforming a Certain Class of Stochastic Processes by Absolutely Continuous Substitution of Measures722 cited
  • 1967On Square Integrable Martingales617 cited
  • 1971Existence of Optimal Stochastic Control Laws246 cited
  • 1970The Representation of Functionals of Brownian Motion by Stochastic Integrals233 cited
  • 1973Dynamic Programming Conditions for Partially Observable Stochastic Systems225 cited
  • 1970Quelques applications de la formule de changement de variables pour les semimartingales191 cited

Cited by

  • 1976The Representation of Martingales of Jump Processes137 cited
  • 1977Optimal Control of Jump Processes127 cited
  • 1978Modeling and analysis of stochastic differential equations driven by point processes86 cited
  • 1999An Equilibrium Model of Catastrophe Insurance Futures and Spreads76 cited
  • 2005Martingale methods in stochastic control60 cited
  • 1977Weak convergence of stochastic integrals related to counting processes58 cited
  • 1987A review on stochastic differential equations for applications in hydrology49 cited
  • 2010About the Pricing Equations in Finance42 cited
  • 2006Martingale Representation and All That

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39 cited
  • 2013Backward Stochastic Differential Equations and Optimal Control of Marked Point Processes32 cited
  • 1993A Jump/Diffusion Consumption‐Based Capital Asset Pricing Model and the Equity Premium Puzzle27 cited
  • 2013Backward stochastic differential equations associated to jump Markov processes and applications26 cited