American Journal of Applied Mathematics and Statistics
ISSN (Print): 2328-7306 ISSN (Online): 2328-7292 Website: http://www.sciepub.com/journal/ajams Editor-in-chief: Mohamed Seddeek
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American Journal of Applied Mathematics and Statistics. 2016, 4(1), 1-8
DOI: 10.12691/ajams-4-1-1
Open AccessArticle

Goodness-of-fit-test for Exponential Power Distribution

A. A. Olosunde1, and A. M. Adegoke2,

1Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria

2Department of Physics, Obafemi Awolowo University, Ile-Ife, Nigeria

Pub. Date: January 15, 2016

Cite this paper:
A. A. Olosunde and A. M. Adegoke. Goodness-of-fit-test for Exponential Power Distribution. American Journal of Applied Mathematics and Statistics. 2016; 4(1):1-8. doi: 10.12691/ajams-4-1-1

Abstract

Given a set of data, one of the statistical issues is to see how well the data fit into postulated model. This technique necessitates the corresponding table of the probability distribution for the proposed model. In this paper, we examined, to what limit of p can normal approximate this sample without falling into type I error (i.e. a random variable x having normal distribution when indeed it has exponential power distribution with estimated parameter p). We also present the goodness-of-fit test for exponential power distribution using the conventional testing methods which are discussed, one is Pearson’s χ2 test and the other one is kolmogorov-Smirnov test. An example in poultry feeds data and a simulation example are included, comparison with the fitting of the normal distribution is also examined for further illustration.

Keywords:
shape parameter short tails cumulative distribution function kolmogorov-Smirnov test pearson’s χ2 test poultry feeds data data

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