### 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

### Cite this

**The limiting normality of the test statistic for the two-sample problem induced by a convex sum distance.** / Fueda, Kaoru.

Research output: Contribution to journal › Article

*Annals of the Institute of Statistical Mathematics*, vol. 48, no. 2, pp. 337-347.

}

TY - JOUR

T1 - The limiting normality of the test statistic for the two-sample problem induced by a convex sum distance

AU - Fueda, Kaoru

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

KW - Convex sum distance

KW - Limiting normality

KW - Transposition property

UR - http://www.scopus.com/inward/record.url?scp=0030364126&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030364126&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0030364126

VL - 48

SP - 337

EP - 347

JO - Annals of the Institute of Statistical Mathematics

JF - Annals of the Institute of Statistical Mathematics

SN - 0020-3157

IS - 2

ER -