Ali Selim, M., Hassan Mohammed, T. (2019). Exponentiated Inverse Nadarajah-Haghighi Distribution: Properties and Applications. test, 22(1), 1-26. doi: 10.21608/jsfc.2019.244576
Mahmoud Ali Selim; Tamer Hassan Mohammed. "Exponentiated Inverse Nadarajah-Haghighi Distribution: Properties and Applications". test, 22, 1, 2019, 1-26. doi: 10.21608/jsfc.2019.244576
Ali Selim, M., Hassan Mohammed, T. (2019). 'Exponentiated Inverse Nadarajah-Haghighi Distribution: Properties and Applications', test, 22(1), pp. 1-26. doi: 10.21608/jsfc.2019.244576
Ali Selim, M., Hassan Mohammed, T. Exponentiated Inverse Nadarajah-Haghighi Distribution: Properties and Applications. test, 2019; 22(1): 1-26. doi: 10.21608/jsfc.2019.244576

Exponentiated Inverse Nadarajah-Haghighi Distribution: Properties and Applications

المجلة العلمية لقطاع کليات التجارة بجامعة الأزهر
Article 2, Volume 22, Issue 1, June 2019, Pages 1-26    PDF (2.15 M)
Document Type: المقالة الأصلية
DOI: 10.21608/jsfc.2019.244576
Authors
Mahmoud Ali Selim1; Tamer Hassan Mohammed* 2
1کلية التجارة بنين بالقاهرةجامعة الأزهر - طريق النصر - أمام قاعة المؤتمرات - مدينة نصر - القاهرة الرقم البريدي / 11751
2کلية التجارة بنين بالقاهرة - جامعة الأزهر - طريق النصر - أمام قاعة المؤتمرات - مدينة نصر - القاهرة الرقم البريدي / 11751
Abstract
In this paper, we introduced a new three-parameter distribution named exponentiated inverted Nadarajah-Haghighi (EINH) distribution. This distribution is generalized of inverse Nadarajah-Haghighi distribution. It can be also considered as an extension of the inverse exponential distribution. Some of the mathematical properties of the new distribution are studied. The quantile function, density and distribution functions, moments, generating function and order statistics are obtained. The model parameters are estimated using the maximum likelihood method. Two real applications are used to show the flexibility of the EINH distribution.
Keywords
Nadarajah-Haghighi distribution; maximum likelihood estimation; moment generating function; hazard rate function; order statistics
References
  1. Bourguignon, M., M. d. C. S. Lima, J. Leão, A. D. Nascimento, L. G. B. Pinho, and G. M. Cordeiro. 2015. A new generalized gamma distribution with applications. American Journal of Mathematical and Management Sciences 34 (4):309-342.
  2. Cohen, A. C. 1965. Maximum likelihood estimation in the Weibull distribution based on complete and on censored samples. Technometrics 7 (4):579-588.
  3. Dias, C. R., M. Alizadeh, and G. M. Cordeiro. 2016. The beta Nadarajah-Haghighi distribution. Hacettepe University Bulletin of Natural Sciences and Engineering Series B: Mathematics and Statistics.
  4. Keller, A., A. Kamath, and U. Perera. 1982. Reliability analysis of CNC machine tools. Reliability Engineering 3 (6):449-473.
  5. Kenney, J., and E. Keeping. 1962. Kurtosis. Mathematics of Statistics 3:102-103.
  6. Lee, E. T., & Wang, J. (2003). Statistical methods for survival data analysis (Vol. 476). John Wiley & Sons.
  7. Lemonte, A. J. 2013. A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function. Computational Statistics & Data Analysis 62:149-170.
  8. Lima, S. R. 2015. The half-normal generalized family and Kumaraswamy Nadarajah-Haghighi distribution.
  9. Moors, J. 1988. A quantile alternative for kurtosis. The statistician:25-32.
  10. Nadarajah, S., and F. Haghighi. 2011. An extension of the exponential distribution. Statistics 45 (6):543-558.
  11. Nadarajah, S., and S. Kotz. 2006. The exponentiated type distributions. Acta Applicandae Mathematica 92 (2):97-111.
  12. Selim, M. A. (2019). Some Theoretical and Computational Aspects of the Inverse Generalized Power Weibull Distribution. Journal of Data Science, 17(4), 754-767.
  13. Tahir, M. H., Cordeiro, G. M., Ali, S., Dey, S., & Manzoor, A. (2018). The inverted Nadarajah–Haghighi distribution: estimation methods and applications. Journal of Statistical Computation and Simulation, 88(14), 2775-2798.
  14. Team, R. C. 2015. R: A language and environment for statistical computing.
  15. VedoVatto, T., A. Nascimento, M. WR Filho, M. Lima, L. Pinho, and G. Cordeiro. 2016. Some computational and theoretical aspects of the exponentiated generalized Nadarajah-Haghighi distribution. arXiv preprint arXiv:1610.08876.
  16. Yousof, H. M., & Korkmaz, M. Ç. Topp-Leone Nadarajah-Haghighi distribution. İstatistikçiler Dergisi: İstatistik ve Aktüerya, 10(2), 119-127.
  17. Yousof, H. M., M. Ç. Korkmaz, and G. Hamedani. 2017. The odd Lindley Nadarajah-Haghighi distribution. Journal of Mathematical and Computational Science 7 (5):864-882.
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