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20122026
most citedQuasi-Likelihood Analysis for Stochastic Regression Models with Nonsynchronous Observations

13 citations · 27 across the 9 of their papers we have counts for

collaborators

13 papers

math.KT2026

A secondary index map on relative K-homology

Matti Lyko

We introduce a secondary index map from relative K-homology to the K-theory of a relative structure algebra. We prove an algebraic Mayer-Vietoris sequence for the relative structur…

math.ST2025

Asymptotically uniformly most powerful tests for diffusion processes with nonsynchronous observations

Teppei Ogihara, Futo Ueno

This paper introduces a quasi-likelihood ratio testing procedure for diffusion processes observed under nonsynchronous sampling schemes. High-frequency data, particularly in financ…

math.ST2022

Asymptotically efficient estimation for diffusion processes with nonsynchronous observations

Teppei Ogihara

We study maximum-likelihood-type estimation for diffusion processes when the coefficients are nonrandom and observation occurs in nonsynchronous manner. The problem of nonsynchrono…

math.ST2021

Efficient drift parameter estimation for ergodic solutions of backward SDEs

Teppei Ogihara, Mitja Stadje

We derive consistency and asymptotic normality results for quasi-maximum likelihood methods for drift parameters of ergodic stochastic processes observed in discrete time in an und…

math.ST2021

Local Asymptotic Mixed Normality via Transition Density Approximation and an Application to Ergodic Jump-Diffusion Processes

Teppei Ogihara, Yuma Uehara

We study sufficient conditions for local asymptotic mixed normality. We weaken the sufficient conditions in Theorem 1 of Jeganathan (Sankhya Ser. A 1982) so that they can be applie…

math.ST2020

Malliavin calculus techniques for local asymptotic mixed normality and their application to degenerate diffusions

Masaaki Fukasawa, Teppei Ogihara

We study sufficient conditions for a local asymptotic mixed normality property of statistical models. We develop a scheme with the regularity condition proposed by Jeganathan…

math.ST2019

Misspecified diffusion models with high-frequency observations and an application to neural networks

Teppei Ogihara

We study the asymptotic theory of misspecified models for diffusion processes with noisy nonsynchronous observations. Unlike with correctly specified models, the original maximum-l…

math.ST2015★ 5 cited

Quasi likelihood analysis of point processes for ultra high frequency data

Teppei Ogihara, Nakahiro Yoshida

We introduce a point process regression model that is applicable to price models and limit order book models. Hawkes type autoregression in the intensity process is generalized to…

math.PR2015

Asymptotic error distributions of the Euler method for continuous-time nonlinear filtering

Teppei Ogihara, Hideyuki Tanaka

We deduce the asymptotic error distribution of the Euler method for the nonlinear filtering problem with continuous-time observations. Previous works by several authors have shown…

math.ST2014

Parametric Inference for Nonsynchronously Observed Diffusion Processes in the Presence of Market Microstructure Noise

Teppei Ogihara

We study parametric inference for diffusion processes when observations occur nonsynchronously and are contaminated by market microstructure noise. We construct a quasi-likelihood…

math.ST2013

On Asymptotic Properties of Bayes Type Estimators with General Loss Functions

Teppei Ogihara

We study asymptotic behaviors of Bayes type estimators and give sufficient conditions to obtain asymptotic limit distribution of estimation error. We assume polynomial type large d…

math.ST2013★ 9 cited

Local asymptotic mixed normality property for nonsynchronously observed diffusion processes

Teppei Ogihara

We prove the local asymptotic mixed normality (LAMN) property for a family of probability measures defined by parametrized diffusion processes with nonsynchronous observations. We…

math.ST2012★ 13 cited

Quasi-Likelihood Analysis for Stochastic Regression Models with Nonsynchronous Observations

Teppei Ogihara, Nakahiro Yoshida

We consider nonsynchronous sampling of parameterized stochastic regression models, which contain stochastic differential equations. Constructing a quasi-likelihood function, we pro…