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Journals / Türkiye İstatistik Derneği İstatistik Dergisi / 2022 / Volume: 14 Issue: 2

A Lifetime Regression Analysis with Unit Lindley-Weibull Distribution

Ahmet Pekgör(Necmettin Erbakan University)0000-0001-9446-7960
Coşkun Kuş(SELCUK UNIVERSITY)0000-0002-7176-0176
Kadir Karakaya(SELÇUK ÜNİVERSİTESİ, FEN FAKÜLTESİ)0000-0002-0781-3587
Buğra Saraçoğlu(SELCUK UNIVERSITY)0000-0003-1713-2862
İsmail Kınacı(SELCUK UNIVERSITY)0000-0002-0992-4133
Pages
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Publication Date
2022-12-31
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The most important novelty of this study is to bring a lifetime regression analysis with the re-parameterized log-transform of the new distribution.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a new lifetime distribution is introduced.
📊
Key Findings & Data:Motivation is provided to obtain this distribution.
💡
Conclusion & Impact:The most important novelty of this study is to bring a lifetime regression analysis with the re-parameterized log-transform of the new distribution.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Unit-Lindley distribution · Weibull distribution · Monte Carlo simulation

Abstract

In this paper, a new lifetime distribution is introduced. Motivation is provided to obtain this distribution. The closed-form expressions of probability density and cumulative distribution functions are provided. Several distributional properties are obtained and the statistical inference are discussed on unknown parameters. The most important novelty of this study is to bring a lifetime regression analysis with the re-parameterized log-transform of the new distribution.

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Cite This Article

Pekgör, A., Kuş, C., Karakaya, K., Saraçoğlu, B., Kınacı, İ. (2022). A Lifetime Regression Analysis with Unit Lindley-Weibull Distribution. Türkiye İstatistik Derneği İstatistik Dergisi, Volume: 14 Issue: 2. https://ajindex.com/articles/1562008

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References (24)

  1. Altun, E., Yousof, H.M. and Hamedani, G.G. (2018). A new log-location regression model with influence diagnostics and residual analysis. International Journal of Applied Mathematics and Statistics, 33(3), 417-449.
  2. Alzaatreh, A., Lee, C. and Famoye, F. (2013). A new method for generating families of continuous distributions. Metron, 71, 63-79.
  3. Brito, R.S. (2009). Estudo de expansoes assintoticas, avaliacao numerica de momentos das distribuicoes beta generalizadas, aplicacoes em modelos de regressao e analise discriminante. [Master’s thesis, Universidade Federal Rural de Pernambuco].
  4. Cordeiro, G.M., Afify, A.Z., Yousof, H.M., Çakmakyapan, S. and Özel, G. (2018). The Lindley Weibull distribution: properties and applications. Anais da Academia Brasileira de Ciências, 90, 2579-2598.
  5. Cordeiro, G.M. and de Castro, M. (2011). A new family of generalized distributions. Journal of Statistical Computation and Simulation, 81, 883-898.
  6. Cordeiro, G.M. and dos Santos Brito, R. (2012). The beta power distribution. Brazilian Journal of Probability and Statistics, 26, 88-112.
  7. Cordeiro, G.M., Ortega, E.M. and Nadarajah, S. (2010). The Kumaraswamy Weibull distribution with application to failure data. Journal of the Franklin Institute, 347, 1399-1429.
  8. Eugene, N., Lee, C. and Famoye, F. (2002). Beta-normal distribution and its applications. Communications in Statistics-Theory and Methods, 31, 497-512.
  9. Fraser, D.A.S. (1976). Probability and Statistics: Theory and Applications. Duxbury Press, North Scituate, Mass.
  10. Gradshteyn, I.S. and Ryzhik, I.M. (2014). Table of integrals, Series, and Products. Eighth Edition, Academic Press.
  11. Grassia, A. (1977). On a family of distributions with argument between 0 and 1 obtained by transformation of the gamma and derived compound distributions. Australian Journal of Statistics, 19, 108-114.
  12. Korkmaz, M.C. (2020). A new heavy-tailed distribution defined on the bounded interval: the logit slash distribution and its application. Journal of Applied Statistics, 47(12), 2097-2119.
  13. Korkmaz, M.C., Altun, E., Yousof, H.M. and Hamedani, G.G. (2019). The odd power Lindley generator of probability distributions: properties, characterizations and regression modeling. International Journal of Statistics and Probability, 8, 70-89.
  14. Mazucheli, J., Menezes, A.F.B. and Chakraborty, S. (2019). On the one parameter unit-Lindley distribution and its associated regression model for proportion data. Journal of Applied Statistics, 46, 700-714.
  15. Nadarajah, S. and Gupta, A.K. (2004). The beta Frếchet distribution. Far East Journal of Theoretical Statistics, 14, 15-24.
  16. Nadarajah, S. and Kotz, S. (2004). The beta Gumbel distribution. Mathematical Problems in Engineering, 4, 323-332.
  17. Nadarajah, S. and Kotz, S. (2006). The beta exponential distribution. Reliability Engineering and System Safety, 91, 689-697.
  18. Patil, G.P. and Rao, C.R. (1978). Weighted distributions and size biased sampling with applications to wildlife populations and human families. Biometrics, 34, 179-189.
  19. Pascoa, M.A., Ortega, E.M. and Cordeiro, G.M. (2011). The Kumaraswamy generalized gamma distribution with application in survival analysis. Statistical Methodology, 8, 411-433.
  20. Saraçoğlu, B. and Tanış, C. (2018). A new statistical distribution: cubic rank transmuted Kumaraswamy distribution and its properties. Journal of the National Science Foundation of Sri Lanka, 46, 505-518.
  21. Shaked, M. and Shanthikumar, J.G. (1994). Stochastic Orders and Their Applications. Academic Press, London.
  22. Tadikamalla, P.R., Johnson, N. L. (1982). Systems of frequency curves generated by transformations of logistic variables. Biometrika, 69, 461-465.
  23. Tanış, C. and Saraçoğlu, B. (2019). Comparisons of six different estimation methods for logKumaraswamy distribution. Thermal Science, 23, 344-344.
  24. Yousof, H.M., Altun, E., Rasekhi, M., Alizadeh, M., Hamedan, G.G. and Ali, M.M. (2019). A new lifetime model with regression models, characterizations and applications. Communications in Statistics - Simulation and Computation, 48, 264-286.