Open Access
Subscription Access
Open Access
Subscription Access
The Exponentiated Inverted Exponential Distribution
Subscribe/Renew Journal
In this paper, we have introduced the new family of distribution called Exponentiated inverted Exponential distribution (EIED). The proposed model is positively skewed and its shape could be decreasing or unimodal (depending on its parameter values). Several statistical properties of the Exponentiated inverted exponential distribution are studied and derived. The method of Maximum Likelihood Estimation (MLE) was proposed in estimating its parameters. An application to real data set is finally presented for illustration.
Keywords
Inverted Exponential Distribution, Exponentiated Inverted, Exponential Distribution, Structural Properties and Maximum Likelihood Estimation.
Subscription
Login to verify subscription
User
Font Size
Information
- A. A. Ahmad, A. A. Khan, and S. P. Ahmad, “Bayesian analysis of exponential distribution in S-PLUS and R softwares,” Sri Lankan Journal of Applied Statistics, Vol. 8, no. 6, pp. 95-109, 2007
- G. M, Cordeiro, E. M. Ortega, and D. C. da Cunha, “The Exponentiated Generalized Class of Distributions,” Journal of Data Science, vol. 11, no. 1, pp. 1-27, 2013.
- J. F. Lawless, “Statistical Models and Methods for Lifetime Data,” Wiley, New York, 2003.
- A. Flaih, H. Elsalloukh, E. Mendi, M. Milanova, “The exponentiated inverted weibull distribution,” Applied Mathematics and Information Sciences, vol. 6, no. 2, pp. 167-171, 2012.
- R. D. Gupta, and D. Kundu, “Exponentiated exponential family: An alternative to Gamma and Weibull”.
- Biometrical Journal, vol. 43(1), pp. 117-130, February, 2001.
- A. Z. Killer, and A. R. Kamath, “Reliability analysis of CNC machine tools”, Reliability Engineering, 3(6), 449-473, 1982.
- E. T. Lee, and J. W. Wang, “Statistical methods for survival data analysis, 3rded.”, John Wiley and Sons, New York, USA, 2003.
- C. Lin, B. Duran, and T. Lewis, “Inverted Gamma as a Life Distribution”, Microelectronics and Reliability, vol. 29, no. 4, pp. 619-626, 1989.
- G. S. Mudholkar, D. K. Srivastava, M. Freimer, “The exponentiated weibull family,’ Technometrics, vol. 37, no. 4, pp. 436-445, 1995.
- S. Nadarajah, and S. Kotz, “The exponentiated type distributions,” Acta Applicandae Mathematicae, vol. 92, no. 2, pp. 97-111, 2006.
- P.E. Oguntunde, A. O. Adejumo, and O. S. Balogun, “Statistical properties of the exponentiated generalized inverted exponential distribution,” Applied Mathematics, vol. 4, no. 2, pp. 47-55, 2014.
- S. Rehman, I. Dar, and Sajjad, “Bayesian analysis of exponentited inverse Rayleigh distribution under different Priors,” M.Phil Thesis, 2015.
- P. V. Sukhatme, “Test of Significance for Samples of the x2 population with two degrees of freedom”, Annals of Human Genetics, vol. 8, no. 1, pp. 52-56, October 1937.
Abstract Views: 313
PDF Views: 1