160 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Claremont McKenna CollegeUS16 papers
- California Institute of TechnologyUS7 papers
- Keck Graduate InstituteUS7 papers
- University of California, Los AngelesUS6 papers
- University of Southern CaliforniaUS6 papers
- Los Alamos National LaboratoryUS5 papers
- Pomona CollegeUS5 papers
- Claremont InstituteUS4 papers
- Massachusetts Institute of TechnologyUS3 papers
- California State University, FullertonUS2 papers
- Colorado School of MinesUS2 papers
- Goucher CollegeUS2 papers
5 papers · 1 filter
Estimation of the Pointwise Hölder Exponent of Hidden Multifractional Brownian Motion Using Wavelet Coefficients
Sixian Jin, Qidi Peng, Henry Schellhorn
We propose a wavelet-based approach to construct consistent estimators of the pointwise Hölder exponent of a multifractional Brownian motion, in the case where this underlying proc…
Fractional Hida Malliavin Derivatives and Series Representations of Fractional Conditional Expectations
Sixian Jin, Qidi Peng, Henry Schellhorn
We represent fractional conditional expectations of a functional of fractional Brownian motion as a convergent series in L^2 space. When the target random variable is some function…
A Representation Theorem for Smooth Brownian Martingales - New Example
Sixian Jin, Qidi Peng, Henry Schellhorn
We show that, under certain smoothness conditions, a Brownian martingale, when evaluated at a fixed time, can be represented via an exponential formula at a later time. The time-de…
A Bond Option Pricing Formula in the Extended CIR Model, with an Application to Stochastic Volatility
Zheng Liu, Qidi Peng, henry Schellhorn
We provide a complete representation of the interest rate in the extended CIR model. Since it was proved in Maghsoodi (1996) that the representation of the CIR process as a sum of…
A Representation Theorem for Smooth Brownian Martingales
Henry Schellhorn
We show that, under certain smoothness conditions, a Brownian martingale at a fixed time can be represented as an exponential of its value at a later time. The time-dependent gener…