Use of Renyi's divergence to test for the equality of the coefficients of variation

A new family of test statistics based on Rényi's divergence is introduced for the hypothesis that the coefficients of variation of k normal populations are equal. A comparative simulation study is carried out concerning the size and power of these test statistics and earlier ones. Finally, two...

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Bibliographic Details
Authors: Pardo Llorente, María del Carmen, Pardo Llorente, Julio Ángel
Format: article
Publication Date:2000
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/57792
Online Access:https://hdl.handle.net/20.500.14352/57792
Access Level:Open access
Keyword:519.22
Coecient of variation
Renyi's divergence
Simulation
Size
Power
Estadística matemática (Matemáticas)
1209 Estadística
Description
Summary:A new family of test statistics based on Rényi's divergence is introduced for the hypothesis that the coefficients of variation of k normal populations are equal. A comparative simulation study is carried out concerning the size and power of these test statistics and earlier ones. Finally, two members of the new family of tests emerge as the best from the simulation study.