The complementary geometric transmuted-$G$ family of distributions: model, properties and application

The complementary geometric transmuted-$G$ family of distributions: model, properties and application

We introduce a new family of continuous distributions called the complementary geometric transmuted-$G$ family, which extends the transmuted

___

  • Afify A. Z., Alizadeh, M., Yousof, H. M., Aryal, G. and Ahmad, M. The transmuted geometric-G family of distributions: Theory and applications. Pakistan Journal of Statistics, 32, 139-160,(2016a).
  • Afify A. Z., Cordeiro G. M., Yousof, H. M., Alzaatreh, A. and Nofal, Z. M. The Kumaraswamy transmuted-G family of distributions: Properties and applications. Journal of Data Science, 14, 245-270, (2016b).
  • Afify A. Z., Cordeiro G. M., Yousof, H. M., Saboor, A. and Ortega, E. M. M. The Marshall- Olkin additive Weibull distribution with variable shapes for the hazard rate. Hacettepe Journal of Mathematics and Statistics, forthcoming, (2016c).
  • Afify A. Z., Yousof, H. M. and Nadarajah, S. The beta transmuted-H family for lifetime data. Statistics and Its Interface, forthcoming, (2016d).
  • Al-Babtain, A., Fattah, A. A., Ahmed, A. N. and Merovci, F. The Kumaraswamy transmuted exponentiated modied Weibull distribution. Communications in Statistics- Simulation and Computation, forthcoming, 2015
  • Al-Hussaini, E. K. and Ahsanullah, M. Exponentiated Distributions. Volume 5, Springer, 2015.
  • Alexander, C., Cordeiro, G. M., Ortega, E. M. M. and Sarabia, J. M. Generalized beta- generated distributions. Computational Statistics and Data Analysis, 56, 1880-1897, 2012.
  • Alzaatreh, A., Lee, C. and Famoye, F. A new method for generating families of continuous distributions. Metron, 71, 63-79, 2013.
  • Ashour, S. K. and Eltehiwy M. A. Transmuted exponentiated modified Weibull distribution. International Journal of Basic and Applied Sciences, 2, 258-269, 2013.
  • Bourguignon, M., Silva, R. B. and Cordeiro, G. M. The Weibull-G family of probability distributions. Journal of Data Science, 12, 53-68, 2014.
  • Cakmakyapan, S. and Kadilar, G. O. A new customer lifetime duration distribution: The Kumaraswamy Lindley distribution. International Journal of Trade, Economics and Finance, 5, 441-444, 2014.
  • Cordeiro, G. M. and de Castro, M. A new family of generalized distributions. Journal of Statistical Computation and Simulation, 81, 883-893, 2011.
  • Cordeiro, G. M., Ortega, E. M. M. and Lemonte, A. J. (2014). The exponential-Weibull lifetime distribution. Journal of Statistical Computation and Simulation, 84, 2592-2606, 2014.
  • Cordeiro, G. M., Ortega, E. M. M. and Nadarajah, S. The Kumaraswamy Weibull distri- bution with application to failure data. Journal of the Franklin Institute, 347, 1399-1429, 2010.
  • Elbatal, I. and Aryal, G. On the transmuted additive Weibull distribution. Austrian Journal of Statistics, 42, 117-132, 2013.
  • Eugene, N., Lee, C. and Famoye, F. Beta-normal distribution and its applications. Commu- nications in Statistics-Theory and Methods, 31, 497-512, 2002.
  • Kilbas, A. A., Srivastava, H. M. and Trujillo, J. J. Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam, 2006.
  • Korkmaz, M. C. and Genc, A. I. A new generalized two-sided class of distributions with an emphasis on two-sided generalized normal distribution. Communications in Statistics Simulation and Computation, forthcoming, 2016.
  • Lee, C., Famoye, F. and Olumolade, O. Beta-Weibull distribution: Some properties and applications to censored data. Journal of Modern Applied Statistical Methods, 6, 173-186, 2007.
  • Louzada-Neto, F., Roman, M. and Cancho, V. G. The complementary exponential-geometric distribution for lifetime data. Computational Statistics and Data Analysis, 55, 2516-2524, 2011.
  • Merovci, F., Alizadeh, M., Yousof, H. M. and Hamedani G. G. The exponentiated transmuted-G family of distributions: Theory and applications. Communications in Statistics-Theory and Method, forthcoming, 2016.
  • Merovci, F. and Sharma, V. K. The beta Lindley distribution: Properties and applications. Journal of Applied Mathematics, ID 198951, 1-10, 2014.
  • Nofal, Z. M., Afify, A. Z., Yousof, H. M. and Cordeiro, G. M. The generalized transmuted-G family of distributions. Communications in Statistics-Theory and Methods, 46, 4119-4136, 2017.
  • Ozel, G., Alizadeh, M., Cakmakyapan, S., Hamedani, G. G., Ortega, E. M. M. and Cancho, V. G. The odd log-logistic Lindley Poisson model for lifetime data. Communications in Statistics Theory and Methods, forthcoming, 2016.
  • Saboor, A., Elbatal, I. and Cordeiro, G. M. The transmuted exponentiated Weibull geomet- ric distribution: Theory and applications. Hacettepe Journal of Mathematics and Statistics, forthcoming, 2015.
  • Shaw, W. T. and Buckley, I. R. C. The alchemy of probability distributions: Beyond Gram- Charlier expansions and a skew-kurtotic-normal distribution from a rank transmutation map. Research report, 2007.
  • Tahir, M. H., Cordeiro, G. M., Alizadeh, M. Mansoor, M. Zubair M. and Hamedani, G. G. The odd generalized exponential family of distributions with applications. Journal of Statistical Distributions and Applications, 2, 1-28, 2015.
  • Xie, M. and Lai, C. D. Reliability analysis using an additive Weibull model with bathtub- shaped failure rate function. Reliability Engineering and System Safety, 52, 87-93, 1995.
  • Yousof, H. M., Afify, A. Z., Alizadeh, M., Butt, N. S., Hamedani, G. G. and Ali, M. M. The transmuted exponentiated generalized-G family of distributions. Pakistan Journal of Statistics and Operation Research, 11, 441-464, 2015.
  • Yousof, H. M., Afify, A. Z., Hamedani, G. G. and Aryal, G. (2016). The Burr X generator of distributions for lifetime data. Journal of Statistical Theory and Applications, forthcoming, 2016.
  • Zografos K. and Balakrishnan, N. On families of beta- and generalized gamma generated distributions and associated inference. Statistical Methodology, 6, 344-362, 2009.