## Abstract

We consider the estimation of the ratio of the scale parameters of two independent two-parameter exponential distributions with unknown location parameters. It is shown that the best affine equivariant estimator (BAEE) is inadmissible under any loss function from a large class of bowl-shaped loss functions. Two new classes of improved estimators are obtained. Some values of the risk functions of the BAEE and two improved estimators are evaluated for two particular loss functions. Our results are parallel to those of Zidek (1973, Ann. Statist., 1, 264-278), who derived a class of estimators that dominate the BAEE of the scale parameter of a two-parameter exponential distribution.

Original language | English |
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Pages (from-to) | 77-87 |

Number of pages | 11 |

Journal | Annals of the Institute of Statistical Mathematics |

Volume | 42 |

Issue number | 1 |

DOIs | |

Publication status | Published - Mar 1 1990 |

Externally published | Yes |

## Keywords

- Two-parameter exponential distribution
- equivariant estimator
- inadmissible
- risk reduction
- scale parameter

## ASJC Scopus subject areas

- Statistics and Probability