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
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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 |
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