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Some Characterizations of the Log-Logistic Distribution

  • Mohammad Ahsanullah und Ayman Alzaatreh EMAIL logo
Veröffentlicht/Copyright: 26. Mai 2018
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Abstract

The log-logistic distribution is a right skewed distribution of a random variable whose logarithm has the logistic distribution. In this paper, characterizations based on truncated moments, functions of order statistics and record values are obtained. Also, limiting distributions for the extreme order statistics are studied.

MSC 2010: 62E10; 62E20

Acknowledgements

The authors are very grateful to the editor and the reviewers for various constructive comments and suggestions that have greatly improved the paper.

References

[1] M. Ahsanullah, On some characterizations of univariate distributions based on truncated moments of order statistics, Pakistan J. Statist. 25 (2009), no. 2, 83–91. Suche in Google Scholar

[2] M. Ahsanullah and V. B. Nevzorov, Ordered Random Variables, Nova Science, Huntington, 2001. Suche in Google Scholar

[3] M. Ahsanullah, V. B. Nevzorov and M. Shakil, An Introduction to Order Statistics, Atlantis Stud. Probab. Stat. 3, Atlantis Press, Paris, 2013. 10.2991/978-94-91216-83-1Suche in Google Scholar

[4] M. M. Ali and A. H. Khan, On order statistics from the log-logistic distribution, J. Statist. Plann. Inference 17 (1987), no. 1, 103–108. 10.1016/0378-3758(87)90104-2Suche in Google Scholar

[5] A. Alzaatreh, C. Lee and F. Famoye, A new method for generating families of continuous distributions, Metron 71 (2013), no. 1, 63–79. 10.1007/s40300-013-0007-ySuche in Google Scholar

[6] B. C. Arnold, N. Balakrishnan and H. N. Nagaraja, A First Course in Order Statistics, Wiley Ser. Probab. Stat., John Wiley & Sons, New York, 1992. Suche in Google Scholar

[7] F. Ashkar and S. Mahdi, Fitting the log-logistic distribution by generalized moments, J. Hydrol. 238 (2006), 694–703. 10.1016/j.jhydrol.2006.01.014Suche in Google Scholar

[8] S. Bennett, Log-logistic regression models for survival data, J. R. Stat. Soc. Ser. C. Appl. Stat. 32 (1983), 165–171. 10.2307/2347295Suche in Google Scholar

[9] D. Collett, Modelling Survival Data in Medical Research, 2nd ed., CRC Press, Boca Raton, 2003. Suche in Google Scholar

[10] J. Galambos and S. Kotz, Characterizations of Probability Distributions. A Unified Approach with an Emphasis on Exponential and Related Models, Lecture Notes in Math. 675, Springer, Berlin, 1978. Suche in Google Scholar

[11] C. Lee, F. Famoye and A. Alzaatreh, Methods for generating families of continuous distribution in the recent decades, WIREs Comput. Stat. 5 (2013), 219–238. 10.1002/wics.1255Suche in Google Scholar

[12] A. Ragab and J. Green, On order statistics from the log-logistic distribution and their properties, Comm. Statist. Theory Methods 13 (1984), no. 21, 2713–2724. 10.1080/03610928408828855Suche in Google Scholar

[13] M. W. A. Ramos, A. Percontini, G. M. Cordeiro and R. V. da Silva, The Burr XII negative binomial distribution with applications to lifetime data, Int. J. Stat. Probab. 4 (2015), 109–125. 10.5539/ijsp.v4n1p109Suche in Google Scholar

[14] M. M. Shoukri, I. U. H. Mian and D. S. Tracy, Sampling properties of estimators of the log-logistic distribution with application to Canadian precipitation data, Canad. J. Statist. 16 (1988), no. 3, 223–236. 10.2307/3314729Suche in Google Scholar

Received: 2018-1-28
Revised: 2018-4-28
Accepted: 2018-4-29
Published Online: 2018-5-26
Published in Print: 2018-6-1

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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