A New Two-parameter Modified Half-logistic Distribution: Properties and Applications

  • Gorgees Shaheed University of Al Qadisiyah, Iraq
DOI: https://doi.org/10.19139/soic-2310-5070-1210
Keywords: Moments; likelihood estimation; Entropy ; Half-Logistic distribution

Abstract

This article aims to present and analyse a modified two-parameter version of the Half-Logistic lifetime model.The hazard function, quantile function, asymptotic, linear combination, extreme value, moments, incomplete moments, residual entropies, moment generating function and order statistics, all theoretical properties of this model that are derived and discussed in depth. By performing a simulation analysis, the various techniques of estimation are compared to the estimates of the maximum likelihood of parameters.Finally, two actual data sets have been applied to illustrate the goals of this article.

References

Alizadeh, M., Emadi, M., Doostparast, M. (2019). A New Two-Parameter Lifetime Distribution: Properties, Applications and Different Method of Estimations.Statistics, Optimization Information Computing, 7(2), 291-310.

Anderson, T. W. and Darling, D. A. (1952). Asymptotic theory of certain ”goodness of fit” criteria based on stochastic processes. The annals of mathematical statistics, 193-212.

Balakrishnan, N. (1985). Order statistics from the half logistic distribution. Journal of Statistical Computation and Simulation, 20(4), 287-309.

Cheng RCH, Amin NAK (1979) Maximum product-of-spacings estimation with applications to the lognormal distribution. Technical Report, Department of Mathematics, University of Wales

Cheng RCH, Amin NAK (1983) Estimating parameters in continuous univariate distributions with a shifted origin. J R Stat Soc B3:394-403.

Choi, K. and Bulgren, W. (1968). An estimation procedure for mixtures of distributions. Journal of the Royal Statistical Society. Series B (Methodological), 444-460.

Cordeiro, G. M., de Castro, M. (2011). A new family of generalized distributions. Journal of statistical computation and simulation, 81(7), 883-898.

Dey, S., Mazucheli, J., Nadarajah, S. (2017). Kumaraswamy distribution: different methods of estimation. Computational and Applied Mathematics, 1-18.

Ghitany, M. E., Atieh, B., Nadarajah, S. (2008). Lindley distribution and its application. Mathematics and computers in simulation, 78(4), 493-506.

Ghitany, M. E., Al-Mutairi, D. K., Balakrishnan, N., Al-Enezi, L. J. (2013). Power Lindley distribution and associated inference. Computational Statistics Data Analysis, 64, 20-33.

Gleaton, J. U., Lynch, J. D. (2006). Properties of generalized log-logistic families of lifetime distributions. Journal of Probability and Statistical Science, 4(1), 51-64.

Gradshteyn, I. S. and Ryzhik, I. M. (2007), Table of Integrals, Series, and Products,7 edn, Academic Press, New York.

Gupta, R. D., Kundu, D. (1999). Theory methods: Generalized exponential distributions. Australian New Zealand Journal of Statistics, 41(2), 173-188.

Jones, M. C. (2004). Families of distributions arising from distributions of order statistics. Test, 13(1), 1-43.

Kang, S. B., Seo, J. I. (2011). Estimation in an exponentiated half logistic distribution under progressively type-II censoring. Communications for Statistical Applications and Methods, 18(5), 657-666.

Leadbetter, M. R., Lindgren, G., Rootzn, H. (2012). Extremes and related properties of random sequences and processes. Springer Science Business Media.

Murthy, D. P., Xie, M., Jiang, R. (2004). Weibull models Vol. 505. John Wiley Sons.

Nadarajah, S., Haghighi, F. (2011). An extension of the exponential distribution. Statistics, 45(6), 543-558.

Oliveira, J., Santos, J., Xavier, C., Trindade, D., Cordeiro, G. M. (2016). The McDonald half-logistic distribution: Theory and practice. Communications in Statistics-Theory and Methods, 45(7), 2005-2022.

Swain, J. J., Venkatraman, S., and Wilson, J. R. (1988). Least-squares estimation of distribution functions in johnson’s translation system. Journal of Statistical Computation and Simulation, 29, 271- 297.

Published
2021-05-24
How to Cite
Shaheed, G. (2021). A New Two-parameter Modified Half-logistic Distribution: Properties and Applications. Statistics, Optimization & Information Computing, 10(2), 589-605. https://doi.org/10.19139/soic-2310-5070-1210
Issue
Vol 10 No 2 (2022)
Section
Research Articles
Authors who publish with this journal agree to the following terms:

    1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
    2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
    3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).