A generalized skew slash distribution via gamma-normal distribution

References

• Alzaatreh, A., Famoye, F., Lee, C. (2014). The gamma-normal distribution: Properties and applications. Computational Statistics and Data Analysis 69:67–80.
   Google Scholar
• Arslan, O. (2008). An alternative multivariate skew-slash distribution. Statistics and Probability Letters 78:2756–2761.
   Google Scholar
• Arslan, O., Genç, A. I. (2009). A generalization of the multivariate slash distribution. Journal of Statistical Planning and Inference 139:1164–1170.
   Google Scholar
• Aryal, G., Nadajarah, S. (2005). On the skew Laplace distribution. Journal of Information and Optimization Sciences 26:205–217.
   Google Scholar
• Azzalini, A. (1985). A class of distributions which includes the normal ones. Scandinavian Journal of Statistics 12:171–178.
   Google Scholar
• Bjerkedal, T. (1960). Acquisition of resistance in guinea pigs infected with different doses of virulent tubercle bacilli. American Journal of Epidemiology. 72:130–148.
   Google Scholar
• Byrd, R. H., Lu, P., Nocedal, J., Zhu, C. (1995). A limited memory algorithm for bound constrained optimization. Society for Indusrtial and Applied Mathematics Journal on Scientific Computing. 16:1190–1208.
   Google Scholar
• Eugene, N., Lee, C., Famoye, F. (2002). Beta-normal distribution and its applications. Communications in Statistics Theory and Methods 31:497–512.
   Google Scholar
• Genç, A. I. (2007). A generalization of the univariate slash by a scale-mixtured exponential power distribution. Communications in Statistics—Simulation and Computation 36:937–947.
   Google Scholar
• Genç, A. I. (2013). A skew extension of the slash distribution via beta-normal distribution. Statistical Papers 54:427–442.
   Google Scholar
• Gómez, H. W., Venegas, O., Bolfarine, H. (2007). Skew-symmetric distributions generated by the distribution function of the normal distribution. Environmetrics 18:395–407.
   Google Scholar
• Gradshteyn, I. S., Ryzhik, I. M. (2007). Table of Integrals, Series, and Products. 7th ed. San Diego: Academic Press.
   Google Scholar
• Gui, W. (2014). A generalization of the slash half normal distribution: properties and inferences. Journal of Statistical Theory and Practice 8:283–296.
   Google Scholar
• Gupta, A. K., Chang, F. C., Huang, W. J. (2002). Some skew-symmetric models. Random Operators Stochastic Equations 10:133–140.
   Google Scholar
• Gupta, R. D., Kundu, D. (2009). A new class of weighted exponential distributions. Statistics 43:621–634.
   Google Scholar
• Jamshidian, M. (2001). A note on parameter and standard error estimation in adaptive robust regression. Journal of Statistical Computation and Simulation 71:11–27.
   Google Scholar
• Kafadar, K. (1982). A biweight approach to the one-sample problem. Journal of the American Statistical Association 77:416–424.
   Google Scholar
• Kashid, D. N., Kulkarni, S. R. (2003). Subset selection in multiple linear regression with heavy tailed error distribution. Journal of Statistical Computation and Simulation 73:791–805.
   Google Scholar
• Korkmaz, M. Ç., Genç, A. İ. (2015). The two-sided generalized exponential distribution. Communications in Statistics - Theory and Methods 44:5049–5070.
   Google Scholar
• Morgenthaler, S. (1986). Robust confidence intervals for a location parameter: The configural approach. Journal of the American Statistical Association 81:518–525.
   Google Scholar
• Nadarajah, S., Kotz, S. (2003). Skewed distributions generated by the normal kernel. Statistics and Probability Letters 65:269–277.
   Google Scholar
• Olmos, N. M., Varela, H. H., Gómez, W., Bolfarine, H. (2012). An extension of the half-normal distribution. Statistical Papers 53:875–886.
   Google Scholar
• Pinho, L. G. B., Cordeiro, G. M., Nobre, J. S. (2012). The gamma-exponentiated Weibull distribution. Journal of Statistical Theory and Applications 11:379–395.
   Google Scholar
• Ramos, M. W. A., Cordeiro, G. M., Marinho, P. R. D., Dias, C. R. B., Hamedani, G. G. (2013). The Zografos-Balakrishnan log-logistic distribution: Properties and applications. Journal of Statistical Theory and Applications 12:225–244.
   Google Scholar
• R Development Core Team. (2013). R: A Language and Environment for Statistical Computing. Vienna, Austria: R Foundation for Statistical Computing.
   Google Scholar
• Réyes, J., Gomez, H. W., Bolfarine, H. (2013). Modified slash distribution. Statistics 47:929–941.
   Google Scholar
• Ristic, M. M., Balakrishnan, N. (2012). The gamma-exponentiated exponential distribution. Journal of Statistical Computation and Simulation 82:1191–1206.
   Google Scholar
• Rogers, W. H., Tukey, J. W. (1972). Understanding some long-tailed symmetrical distributions. Statistica Neerlandica 26:211–226.
   Google Scholar
• Silva, R. V., de Andrade, T. A. N., Maciel, D. B. M., Campos, R. P. S., Cordeiro, G. M. (2013). A new lifetime model: The gamma extended Fréchet distribution. Journal of Statistical Theory and Applications 12:39–54.
   Google Scholar
• Wang, J., Genton, M. G. (2006). The multivariate skew-slash distribution. Journal of Statistical Planning and Inference 136:209–220.
   Google Scholar
• Zografos, K., Balakrishnan, N. (2009). On families of beta and generalized gamma-generated distributions and associated inference. Statistical Methodology 6:344–362.
   Google Scholar