과제정보
The work of the first author was supported by the Deanship of Scientific Research at the University of Jordan.
참고문헌
- A. Alzaatreh, C. Lee, and F. Famoye, A new method for generating families of continuous distributions, Metron 71 (2013), 63-79. https://doi.org/10.1007/s40300-013-0007-y
- M.A. Aljarrah, C. Lee, and F. Famoye, On generating T-X family of distributions using quantile functions, J. Stat. Dist. and Applications 1 (2014), 1-17. https://doi.org/10.1186/2195-5832-1-1
- D.F. Andrews and A.M. Herzberg, Data: A Collection of Problems from Many Fields for the Student and Research Worker, Springer Series in Statistics, New York, 1985.
- G.R. Aryal and C.P. Tsokos, Transmuted Weibull distribution: A Generalization of the Weibull Probability Distribution, Eur. J. Pure App. Mathematics 4 (2011), 89-102.
- R.E. Barlow, R.H. Toland, and T. Freeman, A Bayesian analysis of stress-rupture life of Kevlar 49/epoxy spherical pressure vessels, Proc. Canad. Conf. App. Statistics, Marcel Dekker, New York, 1984.
- M. Bourguignon, I. Ghosh, and G. Cordeiro, General results for the transmuted family of distributions and new models, Journal of Probability and Statistics 2016 (2016), Article ID 7208425. http://dx.doi.org/10.1155/2016/7208425
- F. Merovci, Transmuted Rayleigh distribution, Aus. J. of Statistics 42 (2013), 21-31. https://doi.org/10.17713/ajs.v42i1.163
- F. Merovci, M. Alizadeh, and G.G. Hamedani, Another generalized transmuted family of distributions: properties and applications, Aus. J. of Statistics 45 (2016), 71-93.
- J. Neyman, and E.S. Pearson, On the use and interpretation of certain test criteria for purposes of statistical inference, Biometrika 20 (1928), 175-240.
- Z.M. Nofal, A.Z. Afify, H.M. Yousof, and F. Louzada, The transmuted exponentiated additive Weibull distribution: properties and applications, J. Mod. App. Statistical Methods 17 (2018), eP2526. doi: 10.22237/jmasm/1525133340
- C.R. Rao, Large sample tests of statistical hypotheses concerning several parameters with application to problems of estimation, Proc. Camb. Philosophical Society 44 (1948), 50-57. https://doi.org/10.1017/S0305004100023987
- W.T. Shaw and I.R.C. Buckley, The Alchemy of Probability Distributions: Beyond GramCharlier & Cornish-Fisher Expansions, and Skew-Normal or Kurtotic-Normal Distributions, Research report at the Austrian School of Statistics, 2007.
- A. Wald, Tests of statistical hypotheses concerning several parameters when the number of observations is large, Transactions of the American Mathematical Society 54 (1943), 426-482. https://doi.org/10.1090/S0002-9947-1943-0012401-3