## Abstract

We give expansions for the distribution function, density function and moments of the sample minimum when sampling from a distribution on 0,x
_{2}
that is nearly analytic at zero. Similar results are given for the sample maximum when sampling from a distribution on x
_{1}
,x
_{2}
that is nearly analytic at x
_{2}
. When these distributions are analytic, the expansions are in inverse powers of the sample size n. If not, they require a double expansion.

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

Pages (from-to) | 89-96 |

Number of pages | 8 |

Journal | Statistics and Probability Letters |

Volume | 151 |

Early online date | 8 Apr 2019 |

DOIs | |

Publication status | Published - Aug 2019 |

## Keywords

- Density
- Maximum
- Moments