References
- Abbasi, S., M. H. Alamatsaz, and E. Cramer. 2016. Preservation properties of stochastic orderings by transformation to Harris family with different tilt parameters. Latin American Journal of Probability and Mathematical Statistics 13 (1):465–79.
- Afify, A. Z., G. M. Cordeiro, H. M. Yousof, A. Alzaatreh, and Z. M. Nofal. 2016. The Kumaraswamy transmuted-G family of distributions: properties and applications. Journal of Data Science 14 (2):245–70.
- Aghababaei Jazi, M., and M. H. Alamatsaz. 2010. Ordering comparison of logarithmic series random variables with their mixtures. Communications in Statistics-Theory and Methods 39 (18):3252–63. doi:10.1080/03610920903243728.
- Aghababaei Jazi, M. A., M. H. Alamatsaz, and S. Abbasi. 2011. A unified approach to ordering comparison of GPS distributions with their mixtures. Communications in Statistics-Theory and Methods 40 (14):2591–604. doi:10.1080/03610926.2010.489177.
- Alamatsaz, M. H., and S. Abbasi. 2008. Ordering comparison of negative binomial random variables with their mixtures. Statistics and Probability Letters 78 (14):2234–9. doi:10.1016/j.spl.2008.01.092.
- Aryal, G. R. 2013. Transmuted log-logistic distribution. Journal of Statistics Applications & Probability 2 (1):11–20. doi:10.12785/jsap/020102.
- Aryal, G. R., and C. P. Tsokos. 2011. Transmuted Weibull distribution: A generalization of the Weibull probability distribution. European Journal of Pure and Applied Mathematics 4 (2):89–102.
- Barlow, R. E., and F. Proschan. 1996. Mathematical theory of reliability. Philadelphia: Society for Industrial and Applied Mathematics.
- Batsidis, A., and A. J. Lemonte. 2015. On the Harris extended family of distributions. Statistics 49 (6):1400–21. 969732. doi:10.1080/02331888.2014.
- Belzunce, F., J. M. Ruiz, and M. C. Ruiz. 2002. On preservation of some shifted and proportional orders by systems. Statistics and Probability Letters 60 (2):141–54. doi:10.1016/S0167-7152(02)00302-4.
- Brown, M., and J. G. Shanthikumar. 1998. Comparing the variability of random variables and point processes. Probability in the Engineering and Informational Sciences 12 (4):425–44. doi:10.1017/S0269964800005301.
- Elbatal, I., and G. Aryal. 2016. On the Transmuted Additive Weibull Distribution. Austrian Journal of Statistics 42 (2):117–32. doi:10.17713/ajs.v42i2.160.
- Eryilmaz, S., and G. Y. Tutuncu. 2015. Relative behavior of a coherent system with respect to another coherent system. Statistical Papers 56 (2):519–29. doi:10.1007/s00362-014-0595-5.
- Ghitany, M. E., and S. Kotz. 2007. Reliability properties of extended linear failure-rate distributions. Probability in the Engineering and Informational Sciences 21 (3):441–50. doi:10.1017/S0269964807000071.
- Gui, W. 2013. Marshall-Olkin extended log-logistic distribution and its application in minification processes. Applied Mathematical Sciences 7 (80):3947–61. doi:10.12988/ams.2013.35268.
- Jarrahiferiz, J., G. R. Mohtashami Borzadaran, and A. H. Rezaei Roknabadi. 2013. Some properties and applications of shifted proportional stochastic orders. İstatistik 6 (2):80–91.
- Jiang, R., P. Ji, and X. Xiao. 2003. Aging property of unimodal failure rate models. Reliability Engineering and System Safety 79 (1):113–6. doi:10.1016/S0951-8320(02)00175-8.
- Keilson, J., and U. Sumita. 1982. Uniform stochastic ordering and related inequalities. Canadian Journal of Statistics 10 (3):181–98. doi:10.2307/3556181.
- Khan, M. S., and R. King. 2013. Transmuted modified Weibull distribution: A generalization of the modified Weibull probability distribution. European Journal of Pure and Applied Mathematics 6 (1):66–88.
- Lariviere, M. A. 2006. A note on probability distributions with increasing generalized failure rates. Operations Research 54 (3):602–4. doi:10.1287/opre.1060.0282.
- Lariviere, M. A., and E. L. Porteus. 2001. Selling to the newsvendor: An analysis of price-only contracts. Manufacturing & Service Operations Management 3 (4):293–305. doi:10.1287/msom.3.4.293.9971.
- Lillo, R. E., A. K. Nanda, and M. Shaked. 2001. Some shifted stochastic orders. In Recent advances in reliability theory, eds. N., Limnios and M. Nikulin. Boston: Birkhäuser.
- Mirhossaini, S. M., and A. Dolati. 2008. On a new generalization of the exponential distribution. Journal of Mathematical Extension 3 (1):27–42.
- Merovci, F. 2016. Transmuted Rayleigh distribution. Austrian Journal of Statistics 42 (1):21–31. doi:10.17713/ajs.v42i1.163.
- Merovci, F., and L. Puka. 2014. Transmuted Pareto distribution. ProbStat Forum 7:1–11.
- Nakai, T. 1995. A partially observable decision problem under a shifted likelihood ratio ordering. Mathematical and Computer Modelling 22 (10–12):237–46. doi:10.1016/0895-7177(95)00201-C.
- Nanda, A. K., S. Bhattacharjee, and S. S. Alam. 2007. Properties of aging intensity function. Statistics and Probability Letters 77 (4):365–73. doi:10.1016/j.spl.2006.08.002.
- Nanda, A. K., and S. Das. 2012. Stochastic orders of the Marshall-Olkin extended distribution. Statistics and Probability Letters 82(2):295–302. doi:10.1016/j.spl.2011.10.003.
- Ramos Romero, H. M., and S. Díaz. 2001. The proportional likelihood ratio order and applications. Qüestiió 25(2):211–23.
- Shaked, M., and J. G. Shanthikumar. 2007. Stochastic orders. New York: Springer.
- Shanthikumar, J. C., and D. D. Yao. 1986. The preservation of likelihood ratio ordering under convolution. Stochastic Processes and Their Applications 23 (2):259–67. doi:10.1016/0304-4149(86)90039-6.
- Shaw, W. T., and I. R. Buckley. 2009. The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map. arXiv Preprint arXiv 0901:0434.
- Singh, S. K., and G. S. Maddala. 1976. A function for size distribution of incomes. Econometrica 44 (5):963–70. doi:10.1007/978-0-387-72796-7-2.
- Yanyan, H., and D. Gaofeng. 2012. Some new stochastic comparison results on proportional odds models. Chinese Journal of Applied Probability and Statistics 28 (1):43–50.