A Study of Five Parameter Type I Generalized Half Logistic Distribution
Pure and Applied Mathematics Journal
Volume 6, Issue 6, December 2017, Pages: 177-181
Received: Oct. 29, 2016;
Accepted: Oct. 23, 2017;
Published: Jan. 4, 2018
Views 2027 Downloads 81
Bello Olalekan Akanji, Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria
Sule Ibrahim, Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria
Awodutire Phillip Oluwatobi, Department of Statistics, Federal Polytechnic of Oil and Gas, Bonny, Nigeria
Olapade Akintayo Kehinde, Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria
Follow on us
In this paper, we obtained a generalized half logistic distribution which is called a ﬁve-parameter type I generalized half logistic distribution. The distributional properties of the model such as the cumulative distribution function (cdf), moment, skewness, kurtosis, the median and the mode of the generalized distribution were established and ﬁnally a theorem that relate the distribution to pareto distribution was stated and proved.
Characterizations, Continuous Distribution, Exponential, Kurtosis, Skewness
To cite this article
Bello Olalekan Akanji,
Awodutire Phillip Oluwatobi,
Olapade Akintayo Kehinde,
A Study of Five Parameter Type I Generalized Half Logistic Distribution, Pure and Applied Mathematics Journal.
Vol. 6, No. 6,
2017, pp. 177-181.
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Adatia, A. (1997). Approximate BLUE’s of the parameters of the half logistic distribution based on fairly large doubly censored samples. Computational Statistics and Data Analysis 24, 179-191.
Adatia, A. (2000). Estimation of the parameters of the half-logistic distribution using generalized rank set sampling. Computational Statistics and Data Analysis 33, 1-13.
Balakrishnan, N., Chan, P. S. (1992). Estimation for the scaled half logistic distribution under type II censoring. Computational Statistics and Data Analysis 13,123-131.
Balakrishnan, N. and Hossain, A. (2007), Inference for the Type II generalized logistic distribution under progressive Type II censoring, Journal of Statistical Computation and Simulation, 77 (12), pp1013–1031.
Balakrishnan, N. (1985). Order statistics from the half logistic distribution, Journal of statistical computation and simulation. vol. 20, pp.287-309.
Balakrishnan, N and Puthenpura, S. (1986). Best linear unbiased estimation of location and scale parameters of the half logistic distribution, J. Statist. Comput. Simul. VOL 25. pp193-204.
Balakrishnan, N. and Wong, K. H. T. (1991). Approximate MLEs for the location and scal eparameters of the half logistic distribution with Type-II right censoring, IEEE Trans. On Reliab. Vol 40. pp140-145.
Olapade, A. K. (2003). On Characterizations of the Half Logistic Distribution. InterStat, February Issue, Number 2.
Olapade, A. K. (2009). On a four parameter type II generalized half logistic distribution. Proc. Jangjeon Math. Soc. Korea, Volume 12 (1), pp.21-30.
Olapade, A. K. (2011). On a four-parameter type I generalized half logistic distribution. Proceeding of the Jangjeon Mathematical KOREA. Vol 14. pp189-198.
Olapade, A. K. (2014). The type I generalized half logistic distribution, JIRSS. Vol 13. pp 69-82.
Torabi, H. and Bagheri, F. K. (2010). Estimation of parameter for an extended generalized half-logistic distribution based on complete and censored data, JIRSS. Vol 9. pp171-195.