Special Session 132: 

Parameter estimated standardized U-statistics for some dependent sequence

Hiroshi Takahashi
Tokyo Gakugei University
Japan
Co-Author(s):    Hiroshi Takahashi
Abstract:
Gombay and Horvath obtained limit theorems for the maximum of standardized degenerate U-statistics when parameters are estimated. They considered the case where the observed data are independent. It is natural to consider dependent data because a stochastic model for a time series reflects past observations. In this talk, we show the theorems in the case of dependent data. We also give some examples concerning some finance models.