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Research Article

The Unit Omega Distribution, Properties and Its Application

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References

  • Altun, E. (2021). The log-weighted exponential regression model: An alternative to the beta regression model. Communications in Statistics – Theory and Methods, 50(10), 2306–2321. https://doi.org/10.1080/03610926.2019.1664586
  • Bayes, C. L., Bazán, J. L., & García, C. (2012). A new robust regression model for proportions. Bayesian Analysis, 7(4), 841–866. https://doi.org/10.1214/12-BA728
  • Brooks, S., Smith, J., Vehtari, A., Plummer, M., Stone, M., Robert, C. P., & Meng, X. L. (2002). Discussion on the paper by Spiegelhalter, Best, Carlin, and Van Der Linde. Journal of the Royal Statistical Society. Series B: Statistical Methodology, 64, 616–639.
  • Carlin, B. P., & Louis, T. A. (1997). Bayes and empirical Bayes methods for data analysis. Statistics and Computing, 7(2), 153–154. https://doi.org/10.1023/A:1018577817064
  • Chib, S., & Greenberg, E. (1995). Understanding the metropolis-hastings algorithm. American Statistician, 49(4), 327–335. https://doi.org/10.2307/2684568
  • Cordeiro, G. M., & dos Santos Brito, R. (2012). The beta power distribution. Brazilian Journal of Probability and Statistics, 26(1), 88–112. https://doi.org/10.1214/10-BJPS124
  • Cowles, M. K., & Carlin, B. P. (1996). Markov chain Monte Carlo convergence diagnostics: A comparative review. Journal of the American Statistical Association, 91(434), 883–904. https://doi.org/10.1080/01621459.1996.10476956
  • da Paz, R. F., Balakrishnan, N., & Bazán, J. L. (2019). L-logistic regression models. Brazilian Journal of Probability and Statistics, 33(3), 455–479. https://doi.org/10.1214/18-BJPS397
  • Dombi, J., Jónás, T., Tóth, Z. E., & Árva, G. (2019). The omega probability distribution and its applications in reliability theory. Quality and Reliability Engineering International, 35(2), 600–626. https://doi.org/10.1002/qre.2425
  • European Centre for Disease Prevention and Control. (2013). Antimicrobial resistance surveillance in Europe 2012, Annual Report of the European Antimicrobial Resistance Surveillance Network (EARS-Net). ECDC, Stockholm. URL https://ecdc.europa.eu
  • Fletcher, S. G., & Ponnambalam, K. (1996). Estimation of reservoir yield and storage distribution using moments analysis. Journal of Hydrology, 182(1–4), 259–275. https://doi.org/10.1016/0022-1694(95)02946-X
  • Gelman, A., & Rubin, D. B. (1992). Inference from iterative simulation using multiple sequences. Statistical Science, 7(4), 457–472. https://doi.org/10.1214/ss/1177011136
  • Grassia, A. (1977). On a family of distributions with the argument between 0 and 1 obtained by transformation of the gamma and derived compound distributions. Australian Journal of Statistics, 19(2), 108–114. https://doi.org/10.1111/j.1467-842X.1977.tb01277.x
  • Hornik, K., Leisch, F., Zeileis, A., Plummer, M. (2003). JAGS: A program for analysis of Bayesian graphical models using Gibbs sampling. Proceedings of the 3rd International Workshop on Distributed Statistical Computing.
  • Jodrá, P. (2020). A bounded distribution derived from the shifted Gompertz law. Journal of King Saud University – Science, 32(1), 523–536. https://doi.org/10.1016/j.jksus.2018.08.001
  • Jones, M. (2009). Kumaraswamy’s distribution: A beta-type distribution with some tractability advantages. Statistical Methodology, 6(1), 70–81. https://doi.org/10.1016/j.stamet.2008.04.001
  • Kenney, J., & Keeping, E. (1962). Kurtosis. Mathematics of Statistics, 3, 102–103.
  • Kieschnick, R., & McCullough, B. D. (2003). Regression analysis of variates observed on (0, 1): Percentages, proportions, and fractions. Statistical Modelling, 3(3), 193–213. https://doi.org/10.1191/1471082X03st053oa
  • Kumaraswamy, P. (1976). Sinepower probability density function. Journal of Hydrology, 31(1–2), 181–184. https://doi.org/10.1016/0022-1694(76)90029-9
  • Lemonte, A. J., & Bazán, J. L. (2016). A new class of Johnson distributions and its associated regression model for rates and proportions. Biometrical Journal. Biometrische Zeitschrift, 58(4), 727–746. https://doi.org/10.1002/bimj.201500030
  • Mazucheli, J., Menezes, A. F. B., & Chakraborty, S. (2020). On the one parameter unit-Lindley distribution and its associated regression model for proportion data. Journal of Applied Statistics, 47(5), 950–953. https://doi.org/10.1080/02664763.2019.1675609
  • Mazucheli, J., Menezes, A. F. B., & Dey, S. (2018a). The Unit-Birnbaum-Saunders distribution with applications. Chilean Journal of Statistics, 9, 47–57.
  • Mazucheli, J., Menezes, A., & Ghitany, M. (2018b). The Unit-Weibull distribution and associated inference. Journal of Applied Probability and Statistics, 13, 1–22.
  • Mitnik, P. A., & Baek, S. (2013). The Kumaraswamy distribution: Median-dispersion re-parameterizations for regression modeling and simulation-based estimation. Statistical Papers, 54(1), 177–192. https://doi.org/10.1007/s00362-011-0417-y
  • Moors, J. J. A. (1988). A quantile alternative for kurtosis. The Statistician, 37(1), 25–32. https://doi.org/10.2307/2348376
  • Okorie, I. E., & Nadarajah, S. (2019). On the omega probability distribution. Quality and Reliability Engineering International, 35(6), 2045–2050. https://doi.org/10.1002/qre.2462
  • Spiegelhalter, D. J., Best, N. G., Carlin, B. P., & Van Der Linde, A. (2002). Bayesian measures of model complexity and fit. Journal of the Royal Statistical Society Series B: Statistical Methodology, 64(4), 583–639. https://doi.org/10.1111/1467-9868.00353

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