Some Characterizations of the Log-Logistic Distribution

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. Search in Google Scholar

[2] M. Ahsanullah and V. B. Nevzorov, Ordered Random Variables, Nova Science, Huntington, 2001. Search 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. 10.2991/978-94-91216-83-1Search 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)90104-2Search 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-ySearch 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. Search 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.2006.01.014Search 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. 10.2307/2347295Search in Google Scholar

[9] D. Collett, Modelling Survival Data in Medical Research, 2nd ed., CRC Press, Boca Raton, 2003. Search 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. Search 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.1255Search 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. 10.1080/03610928408828855Search 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.v4n1p109Search 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. 10.2307/3314729Search in Google Scholar