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We consider two continuous It\^o semimartingales observed with noise and sampled at stopping times in a nonsynchronous manner. In this article we establish a central limit theorem for the pre-averaged...
Sample covariance matrix and multivariate $F$-matrix play important roles in multivariate statistical analysis. The central limit theorems {\sl (CLT)} of linear spectral statistics associated with the...
In Internet environment, traffic flow to a link is typically modeled by superposition of ON/OFF based sources. During each ON-period for a particular source, packets arrive according to a Poisson pr...
We study the asymptotic behavior of the least squares estimators of the unknown parameters of bifurcating autoregressive processes when some of the data are missing. We model the process of observed d...
It has recently been shown that there are grave differences in the regularity behavior of the empirical process based on scalar diffusions as compared to the classical empirical process, due to the e...
This paper presents some limit theorems for certain functionals of moving averages of semimartingales plus noise which are observed at high frequency. Our method generalizes the pre-averaging approac...
The paper deals with homogeneous random point processes in Rn. Our aim is to obtain sufficient conditions for asymptotic normality of the number of points of a point process P in a ball when the ra...
Random limit theorems for random walks conditioned to stay positive。
Functional random central limit theorems for random walks conditioned to stay positive。
Conditioned limit theorems for functions of the average of i.i.d. random variables
The Lindeberg theorem is derived on stratilied nilpotent Lie groups; that is a normal convergence theorem for a triangular system of probability measures in case of bounded (homogemous) moments of ...
The central limit theorem, the invariance principle and the Poisson limit theorem for the hierarchy of freeness are studied. We show that for given m G N the limit laws can be expressed in terms of ...
Let (X,) be a squence of independent real vatued random variabl~sA. suitable convergk:nce condition far affine normalimned maxima of (XJ k @given in the seBLjstable setup, i.e. fur inmasing samplir...
An apprnaeb is discussed ta derive strong lidlit theoxems for g~nrm1re newal processes from the carresponding asympt o t i o~f the uaderlging renewal sequence. Neither independence nor stationarity...

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