### Abstract

Critchlow (1992, J. Statist. Plann. Inference, 32, 325-346) proposed a method of a unified construction of a class of rank tests. In this paper, we introduce a convex sum distance and prove the limiting normality of the test statistics for the two-sample problem derived by his method.

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

Pages (from-to) | 337-347 |

Number of pages | 11 |

Journal | Annals of the Institute of Statistical Mathematics |

Volume | 48 |

Issue number | 2 |

Publication status | Published - 1996 |

Externally published | Yes |

### Fingerprint

### Keywords

- Convex sum distance
- Limiting normality
- Transposition property

### ASJC Scopus subject areas

- Mathematics(all)
- Statistics and Probability