### Abstract

Extending the results of Gombay and Horvath (1998), we obtain a limit theorem for the maximum of standardized degenerate U-statistics defined by some absolutely regular sequences.

Original language | English |
---|---|

Pages (from-to) | 217-230 |

Number of pages | 14 |

Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis |

Volume | 23 |

Issue number | 3 |

Publication status | Published - 2016 Jan 1 |

Externally published | Yes |

### Keywords

- Absolutely regular sequence
- Standardized U-statistics
- U-statistics
- Weak convergence
- Weakly dependent random variable

### ASJC Scopus subject areas

- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics

## Fingerprint Dive into the research topics of 'Parameter estimated standardized U-statistics by absolutely regular sequences'. Together they form a unique fingerprint.

## Cite this

Takahashi, H., & Yoshihara, K. I. (2016). Parameter estimated standardized U-statistics by absolutely regular sequences.

*Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis*,*23*(3), 217-230.