Asymptotic distribution of statistics based on quadratic entropy and bootstrapping

Liua, Z. J. ; Radhakrishna Rao, C. (1995) Asymptotic distribution of statistics based on quadratic entropy and bootstrapping Journal of Statistical Planning and Inference, 43 (1-2). pp. 1995-01. ISSN 0378-3758

Full text not available from this repository.

Official URL: http://linkinghub.elsevier.com/retrieve/pii/037837...

Related URL: http://dx.doi.org/10.1016/0378-3758(94)00005-G

Abstract

We investigate the asymptotic properties of some statistics based on quadratic entropy (QE), a notion introduced by Rao (Sankrya A 44 (1992) 1-21) as a general measure of variability in a population. Sample QE based on i.i.d. observations from a distribution function is defined and its asymptotic distribution is derived. The use of QE in the place of variance in analysis of diversity of cross classified data provides a generalization of ANOVA. We call this method ANOQE (analysis of quadratic entropy). The ANOQE statistic for testing equality of populations based on one-way classified data is constructed and its asymptotic and bootstrap distributions are derived.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:ANOQE; Centralized Kernel Function; Conditional Negative Definiteness; Rao's Quadratic Entropy
ID Code:42463
Deposited On:02 Jun 2011 14:34
Last Modified:02 Jun 2011 14:34

Repository Staff Only: item control page