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Original Articles

The odd log-logistic Lindley Poisson model for lifetime data

, , , , &
Pages 6513-6537 | Received 21 Sep 2015, Accepted 23 Jun 2016, Published online: 17 Apr 2017

References

  • Alexander, C., Cordeiro, G. M., Ortega, E. M. M., Sarabia, J. M. (2012). Generalized beta-generated distributions. Computational Statistics and Data Analysis 56:1880–1897.
  • Alizadeh, M., Emadi, M., Doostparast, M., Cordeiro, G. M., Ortega, E. M. M., Pescim, R. R. (2015a). The new family of distributions: Kumaraswamy odd log-logistic family of distributions, properties and applications. Hacettepe Journal of Mathematics and Statistics DOI:10.15672/HJMS.2014418153
  • Alizadeh, M., Tahir, M. H., Cordeiro, G. M., Mansoor, M., Zubair, M., Hamedani, G. G. (2015b). The Kumaraswamy Marshal–Olkin family of distributions. Journal of the Egyptian Mathematical Society 23:546–557.
  • Alzaatreh, A., Famoye, F., Lee, C. (2013). A new method for generating families of continuous distributions. Metron 71:63–79.
  • Alzaghal, A., Famoye, F., Lee, C. (2013). Exponentiated T–X family of distributions with some applications. International Journal of Probability and Statistics 2:31–49.
  • Amini, M., MirMostafaee, S. M. T. K., Ahmadi, J. (2014). Log-gamma-generated families of distributions. Statistics 48:913–932.
  • Bakouch, H., Al-Zahrani, B., Al-Shomrani, A., Marchi, V., Louzada, F. (2012). An extended Lindley distribution. Journal of the Korean Statistical Society 41:75–85.
  • Bourguignon, M., Silva, R. B., Cordeiro, G. M. (2014). The Weibull G family of probability distributions. Journal of Data Science 12:53–68.
  • Cancho, V. G., Ortega, E. M. M., Barriga, G. D. C., Hashimoto, E. M. (2011). The Conway–Maxwell Poisson-generalized gamma regression model with long-term survivors. Journal of Statistical Computation and Simulation 81:1461–1481.
  • Chaudhary, A. K., Kumar, V. (2013). A Bayesian analysis of Perks distribution via Markov Chain Monte Carlo simulation. Nepal Journal of Science and Technology 14:153–166.
  • Chen, G., Balakrishnan, N. (1995). A general purpose approximate goodness-of-fit test. Journal of Quality Technology 27:154–161.
  • Cooner, F., Banerjee, S., Carlin, B. P., Sinha, D. (2007). Flexible cure rate modeling under latent activation schemes. Journal of the American Statistical Association 102:560–572.
  • Cordeiro, G. M., de Castro, M. (2011). A new family of generalized distributions. Journal of Statistical Computation and Simulation 81:883–893.
  • Cordeiro, G. M., Alizadeh, M., Ortega, E. M. M. (2014a). The exponentiated half-logistic family of distributions: Properties and applications. Journal of Probability and Statistics. dx.doi.org/10.1155/2014/864396
  • Cordeiro, G. M., Ortega, E. M. M., Popovic, B. V., Pescim, R. R. (2014b). The Lomax generator of distributions: Properties, minification process and regression model. Applied Mathematics and Computation 247:465–486.
  • Cordeiro, G. M., Ortega, E. M. M., da Cunha, D. C. C. (2013). The exponentiated generalized class of distributions. Journal of Data Science 11:1–27.
  • Corless, R. M., Gonnet, G. H., Hare, D. E. G., Jeffrey, D. J., Knuth, D. J. (1996). On the Lambert W function. Advances in Computational Mathematics 5:329–359.
  • da Cruz, J. N., Cordeiro, G. M., Ortega, E. M. M. (2016). The log-odd log-logistic Weibull regression model: Modelling, estimation, influence diagnostics and residual analysis. Journal of Statistical Computation and Simulation 86:1516–1538.
  • Doornik, J. A. (2007). Object-Oriented Matrix Programming Using Ox. third ed. London, UK: Timberlake Consultants Press and Oxford.
  • Eugene, N., Lee, C., Famoye, F. (2002). Beta-normal distribution and its applications. Communications in Statistics: Theory and Methods 31:497–512.
  • Ghitany, M. E., Atieh, B., Nadarajah, S. (2008). Lindley distribution and its application, Mathematics and Computers in Simulation 78:493–506.
  • Ghitany, M. E., Alqallaf, F., Al-Mutairi, D. K., Husain, H. A. (2011). A two-parameter weighted Lindley distribution and its applications to survival data. Mathematics and Computers in Simulation 81:1190–1201.
  • Glänzel, W. (1987). A characterization theorem based on truncated moments and its application to some distribution families. In: Mathematical Statistics and Probability Theory (Bad Tatzmannsdorf, 1986), B, Reidel: Dordrecht, 75–84.
  • Gradshteyn, I. S., Ryzhik, I. M. (2000). Table of Integrals, Series, and Products. San Diego: Academic Press.
  • Gleaton, J. U., Lynch, J. D. (2006). Properties of generalized log-logistic families of lifetime distributions. Journal of Probability and Statistical Science 4:51–64.
  • Hashimoto, E. M., Cordeiro, G. M., Ortega, E. M. M. (2013). The new Neyman type A beta Weibull model with long-term survivors. Computational Statistics 28:933–954.
  • Hashimoto, E. M., Ortega, E. M. M., Cordeiro, G. M., Cancho, V. G. (2014). The Poisson Birnbaum–Saunders model with long-term survivors. Statistics 48:1394–1413.
  • Hashimoto, E. M., Ortega, E. M. M., Cancho, V. G., Cordeiro, G. M. (2015). A new long-term survival model with interval-censored data. Shankya B: The Indian Journal of Statistics 77: 207–239.
  • Ibrahim, J. G., Chen, M. H., Sinha, D. (2001). Bayesian Survival Analysis. New York, NY: Springer.
  • Jodrá, J. (2010). Computer generation of random variables with Lindley or Poisson-Lindley distribution via the Lambert W function. Mathematics and Computers Simulation 81: 851–859.
  • Lawless, J. F. (2003). Statistical Models and Methods for Lifetime Data, New York: JohnWiley and Sons.
  • Leadbetter, M. R., Lindgren, G., Rootzen, H. (1987). Extremes and Related Properties of Random Sequences and Processes. New York: Springer-Verlag.
  • Lindley, D. V. (1958). Fiducial distributions and Bayesian theorem. Journal of the Royal Statistical Society B 20:102–107.
  • Martin, J., Perez, C. J. (2009). Bayesian analysis of a generalized lognormal distribution. Computational Statistics & Data Analysis 53:1377–1387.
  • Mazucheli, J., Achcar, A. J. (2011). The Lindley distribution applied to competing risks lifetime data. Computer Methods and Programs in Biomedicine 104:188–192.
  • Nadarajah, S., Bakouch, H. S., Tahmasbi, R. (2011). A generalized Lindley distribution. Sankhya B 73:331–359.
  • Nelson, W., Doganaksoy, N. (1995). Statistical Analysis of Life or Strength Data From Specimens of Various Sizes. Boca Raton, FL: CRC Press.
  • Ortega, E. M. M, Cancho, V. G., Paula, G. A. (2009). Generalized log-gamma regression models with cure fraction. Lifetime Data Analysis 15:79–106.
  • Ortega, E. M. M., Cordeiro, G. M., Kattan, M. W. (2012). The negative binomial beta Weibull regression model to predict the cure of prostate cancer. Journal of Applied Statistics 39:1191–1210.
  • Ortega, E. M. M., Cordeiro, G. M., Kattan, M. W. (2013). The log-beta Weibull regression model with application to predict recurrence of prostate cancer. Statistical Papers 54:113–132.
  • Ortega, E. M. M., Cordeiro, G. M., Campelo, A. K., Kattan, M. W., Cancho, V. G. (2015). A power series beta Weibull regression model for predicting breast carcinoma. Statistics in Medicine 34:1366–1388.
  • Nasiri, P., Pazira, H. (2010). Bayesian approach on the generalized exponential distribution in the presence of outliers. Journal of Statistical Theory and Practice 4:453–475.
  • Schafft, H. A., Staton, T. C., Mandel, J., Shott, J. D. (1987). Reproducibility of electromigration measurements. IEEE Transactions on Electron Devices 34:673–681.
  • Shannon, C. E. (1951). Prediction and entropy of printed English. The Bell System Technical Journal 30:50–64.
  • Tahir, M. H., Cordeiro, G. M., Alzaatreh, A., Zubair, M., Mansoor, M. (2014a). The Logistic-X family of distributions and its applications. Communications in Statistics: Theory and Methods DOI:10.1080/03610926.2014.980516.
  • Tahir, M. H., Cordeiro, G. M., Alizadeh, M., Mansoor, M., Zubair, M., Hamedani, G. (2014b). The odd generalized exponential family of distributions with applications. Journal of Statistical Distributions and Applications DOI:10.1186/s40488-014-0024-2.
  • Torabi, H., Montazari, N. H. (2014). The logistic-uniform distribution and its application. Communications in Statistics: Simulation and Computation 43:2551–2569.
  • Tsodikov, A. D., Ibrahim, J. G., Yakovlev, A. Y. (2003). Estimating cure rates from survival data: An alternative to two-component mixture models. Journal of the American Statistical Association 98:1063–1078.

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