Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 5

The beta Nadarajah-Haghighi distribution

Pages
1302–1320
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Recently, there has been a great interest among statisticians and applied researchers in constructing flexible distributions for better modeling

📌 3 Key Takeaways

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Objective & Hypothesis:Recently, there has been a great interest among statisticians and applied researchers in constructing flexible distributions for better modeling
📊
Key Findings & Data:Recently, there has been a great interest among statisticians and applied researchers in constructing flexible distributions for better modeling
💡
Conclusion & Impact:Recently, there has been a great interest among statisticians and applied researchers in constructing flexible distributions for better modeling
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Beta distribution · Moment · Nadarajah-Haghighi distribution

Abstract

Recently, there has been a great interest among statisticians and applied researchers in constructing flexible distributions for better modeling

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Cite This Article

ALİZADEH, M., CORDEIRO, G. M., DİAS, C. R. B. (2022). The beta Nadarajah-Haghighi distribution. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 5, 1302–1320. https://ajindex.com/articles/529890

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References (17)

  1. Akinsete, A., Famoye, F. & Lee, C. The beta-Pareto distribution. Statistics 42(6), 547-563, 2008.
  2. Barreto-Souza, W., Santos, A.H.S. & Cordeiro, G.M. The beta generalized exponential distribution. Journal of Statistical Computation and Simulation, 80(2), 159-172, 2010.
  3. Chen, G., Balakrishnan, N. A general purpose approximate goodness-of-fit test. Journal of Quality Technology, 27, 154-161, 1995.
  4. Cordeiro, G. M., Lemonte, A. J. The Beta-Birnbaum-Saunders distribution: An improved distribution for fatigue life modeling. Computational Statistics and Data Analysis, 55, 1445- 1461, 2011.
  5. Doornik, J. A. Ox 6: Object-oriented matrix programming language. 5th ed. London: Timberlake Consultants, 2009.
  6. Eugene, N., Lee, C. & Famoye, F. Beta-normal distribution and its applications. Communications in Statistics - Theory and Methods, 31, 497-512, 2002.
  7. Famoye F, Lee C, Olumolade O. The beta-Weibull distribution. Journal of Statistical Theory and Applications, 54, 121-36, 2008.
  8. Gradshteyn, I. S., Ryzhik, I. M. Table of Integrals, Series, and Products. Edited by Alan Jeffrey and Daniel Zwillinger, 7th edn, Academic Press, New York, 2007.
  9. Gupta, R.C., Gupta, P.L. & Gupta R.D. Modeling failure time data by Lehman alternatives. Communications in Statistics-Theory and Methods,27, 887-904, 1998.
  10. Gupta, R.D. & Kundu, D. Generalized exponential distributions. Australian and New Zealand Journal of Statistics, 41, 173-188, 1999. Jones,M.C. Families of distributions arising from distributions of order statistics (with discussion). Test, 13, 1-43, 2004.
  11. Kenney, J. F., Keeping, E. S. Mathematics of Statistics (3rd ed.), Part 1. New Jersey, 1962.
  12. Lemonte, A. A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function. Computational Statistics and Data Analysis, 62, 149-170, 2013.
  13. Lee, E.T. Statistical Methods for Survival Data Analysis. Wiley: New York, 1992.
  14. Lee, E.T., Wang, J.W.Statistical Methods for Survival Data Analysis, third ed. Wiley, New York, 2003.
  15. Lee, C., Famoye, F. & Olumolade, O. Beta-Weibull distribution: Some properties and applications to censored data. Journal of Modern Applied Statistical Methods, 6(1), 173-186, 2007.
  16. Moors, J. J. A. A quantile alternative for kurtosis. Journal of the Royal Statistical Society (Series D), 37, 25-32, 1988.
  17. Mudholkar, G.S., Srivastava, D.K. & Freimer, M. The exponentiated Weibull family: A reanalysis of the bus-motor-failure data. Technometrics, 37, 436-445,