# On self-normalized sums and student's statistic

Article

Novak, S. 2005. On self-normalized sums and student's statistic.

*Theory of Probability and Its Applications.*49 (2), pp. 336-344. https://doi.org/10.1137/S0040585X97981081

Type | Article |
---|---|

Title | On self-normalized sums and student's statistic |

Authors | Novak, S. |

Abstract | We evaluate the accuracy of normal approximation for the distributions of some nonlinear functionals of sums of random vectors. A Berry--Esseen type inequality {\em with explicit constants} for the distribution of Student's statistic is established as a consequence of the main result. |

Language | English |

Journal | Theory of Probability and Its Applications |

ISSN | 0040-585X |

Publication dates | |

Print | 01 Mar 2005 |

Publication process dates | |

Deposited | 28 Nov 2008 |

Output status | Published |

Digital Object Identifier (DOI) | https://doi.org/10.1137/S0040585X97981081 |

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