American Journal of Applied Mathematics and Statistics
http://www.sciepub.com/journal/AJAMS
American Journal of Applied Mathematics and Statistics is a peer-reviewed, open access journal that publishes original research articles and review articles in all areas of applied mathematics and statistics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathematics and statistics.Science and Education Publishingen2013 Science and Education Publishing Co. Ltd All rights reserved.American Journal of Applied Mathematics and Statistics
4
1
January 2016
2013 Science and Education Publishing Co. Ltd All rights reserved.
Goodness-of-fit-test for Exponential Power Distribution
http://pubs.sciepub.com/ajams/4/1/1
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 χ^{2} 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.]]>
A. A. Olosunde, A. M. Adegoke
2016-1-15Science and Education Publishing2016-1-15141810.12691/ajams-4-1-1
Properties of Doubly-Truncated Fréchet Distribution
http://pubs.sciepub.com/ajams/4/1/2
i.e. the space of the distribution is (0, d). We consider a doubly-truncated Fréchet random variable restricted by both a lower (c) and upper (d) truncation point. We provide forms for the density, cumulative distribution function (CDF), hazard function, characteristic function, rth raw moment, mean, mode, median, variance, skewness, kurtosis, Shannon entropy function, relative entropy and quantile function. We also consider the generating issues. This paper deals also with the determination of R = P[Y < X] when X and Y are two independent doubly truncated Fréchet distributions (DTFD) with different scale parameters, different shape parameters but the same truncations parameters. Different methods to estimate doubly truncated Fréchet distribution parameters are studied, Maximum Likelihood estimator, Moments estimator, Percentile estimator, least square estimator and weighted least square estimator. An empirical study is conducted to compare among these methods.]]>
Salah H Abid
2016-1-27Science and Education Publishing2016-1-271491510.12691/ajams-4-1-2