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The path integral representation kernel of evolution operator in Merton-Garman model
path integration evolution operator kernel option pricing Black-Scholes formula Merton-Garman model
2011/7/5
In the framework of path integral the evolution operator kernel for the Merton-Garman Hamiltonian is constructed.
Based on this kernel option formula is obtained, which generalizes the well-known Bla...
Geometric Allocation Approach for Transition Kernel of Markov Chain
Markov chain Transition kernel Geometric allocation Detailed balance Reversibility
2011/7/5
We introduce a new geometric approach that constructs a
transition kernel of Markov chain. Our method always minimizes the av-
erage rejection rate and even reduce it to zero in many relevant cases,...
Heat Kernel Interest Rate Models with Time-Inhomogeneous Markov Processes
Heat Kernel Interest Rate Models Time-Inhomogeneous Markov Processes
2011/1/4
We consider a heat kernel approach for the development of stochastic pricing kernels. The kernels are constructed by positive propagators, which are driven by time-inhomogeneous Markov processes. We m...
Double Kernel estimation of sensitivities。
Goodness-of-"t tests for kernel regression with an application to option impliedvolatilities
Goodness-of-"t Kernel regression Speci"cation testing Implied volatility smile
2014/3/13
This paper proposes a test of a restrictedspeci"cation of regression, basedon comparing residual sum of squares from kernel regression. Our main case is where both the restrictedspeci"cation andthe ge...