Small-diffusion asymptotics for discretely sampled stochastic differential equations
By Michael SØrensen, Masayuki Uchida. 2003
81 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Finance, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/675a738ebdff20a779e37c4dcc4e70eb5ad8f469
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In Computational Theory and Mathematics
- Hongwei Long
- Nakahiro Yoshida
- Chunhua Ma
- Masayuki Uchida
- Yasutaka Shimizu
- Arnaud Gloter
- Michael SØrensen
- Hiroki Masuda
In Finance
- Hongwei Long
- Chunhua Ma
- Yasutaka Shimizu
- Nakahiro Yoshida
- Michael SØrensen
- Arnaud Gloter
- Masayuki Uchida
- Hiroki Masuda
In Mathematical Physics
- Hongwei Long
- Michael SØrensen
- Chunhua Ma
- Nakahiro Yoshida
- Yasutaka Shimizu
- Arnaud Gloter
- Masayuki Uchida
- Hiroki Masuda
Citations in the corpus
- Least squares estimators for stochastic differential equations driven by small Lévy noises (2017, methodology): “Sørensen and Uchida [36] and Gloter and Sørensen [11] used a contrast function to study the efficient estimation for unknown parameters in both drift and diffusion coefficient functions.”
- Estimation for Discretely Observed Small Diffusions Based on Approximate Martingale Estimating Functions (2004, methodology): “Recently, Sørensen & Uchida (2003) investigated efficient estimation for unknown parameters in both drift and diffusion coefficient functions.”
- Estimation for stochastic differential equations with a small diffusion coefficient (2009, methodology): “Again by a repetition of the arguments in Sørensen & Uchida (2003) it is sufficient to show the following convergence uniformly with respect to β: n−1{Uε,n(α̂ε,n, β) − Uε,n(α̂ε,n, β0)} n→∞,ε→0−−−−−−−→ P U2(β, β0).”
- Asymptotic Expansion for Small Diffusions Applied to Option Pricing (2004, methodology): “For the first order asymptotic theory for small diffusion models, see [3, 9–11, 19, 20, 25, 26].”