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     Research Journal of Mathematics and Statistics

    Abstract
2011(Vol.3, Issue:1)
Article Information:

Tests Based on Entropy: Extensions and Comparisons

Samir K. Ashour, Essam A. Amin and Mohamed S. Abdallah
Corresponding Author:  Mohamed S. Abdallah 
Submitted: 2010 November, 26
Accepted: 2010 December, 25
Published: 2011 February, 15
Abstract:
The aim of this study of this essay can be summarized in three objectives, first providing new flexible tests based on sampling entropy for testing the exponential and uniform distribution, second a new test for symmetric based on metric entropy measure using m space was proposed, finally Monte Carlo simulations studies for comparisons of all entropy’s tests under the study were performed. Actual it is shown that the performance of the proposed parametric goodness of fit tests is well in most cases comparing with nonparametric tests, further the new symmetric test produces in general exceptionally strong performance with respect to other parametric tests.

Key words:  Entropy, goodness of fit, likelihood tests, m-space, nonparametric, symmetry, test of power
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Cite this Reference:
Samir K. Ashour, Essam A. Amin and Mohamed S. Abdallah, . Tests Based on Entropy: Extensions and Comparisons. Research Journal of Mathematics and Statistics, (1): 51-60.
ISSN (Online):  2040-7505
ISSN (Print):   2042-2024
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