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Original Articles

Exponential-Poisson distribution: estimation and applications to rainfall and aircraft data with zero occurrence

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Pages 1024-1043 | Received 05 Jun 2017, Accepted 17 Jun 2018, Published online: 05 Nov 2018

References

  • Abbaspour, K., E. Rouholahnejad, S. Vaghefi, R. Srinivasan, H. Yang, and B. Klove. 2015. A continental-scale hydrology and water quality model for Europe: Calibration and uncertainty of a high-resolution large-scale SWAT model. Journal of Hydrology 524:733–752.
  • Barreto-Souza, W., and F. Cribari-Neto. 2009. A generalization of the exponential-Poisson distribution. Statistics & Probability Letters 79 (24):2493–2500.
  • Barreto-Souza, W., and R. B. Silva. 2015. A likelihood ratio test to discriminate exponential-Poisson and gamma distributions. Journal of Statistical Computation and Simulation 85 (4):802–823.
  • Beven, K. 2011. Rainfall-runoff modelling: The primer. John Wiley & Sons.
  • Cancho, V. G., F. Louzada-Neto, and G. D. Barriga. 2011. The Poisson-exponential lifetime distribution. Computational Statistics & Data Analysis 55 (1):677–686.
  • Cheng, R., and N. Amin. 1983. Estimating parameters in continuous univariate distributions with a shifted origin. Journal of the Royal Statistical Society, Series B (Methodological) 45 (3): 394–403.
  • Dey, S., D. Kumar, P. L. Ramos, and F. Louzada. 2017. Exponentiated chen distribution: Properties and estimation. Communications in Statistics - Simulation and Computation 46 (10):8118–8139.
  • Efron, B., and R. J. Tibshirani. 1994. An introduction to the bootstrap. CRC press.
  • Gupta, R. D., and D. Kundu. 2001. Generalized exponential distribution: Different method of estimations. Journal of Statistical Computation and Simulation 69 (4):315–337.
  • Henningsen, A., and O. Toomet. 2011. maxlik: A package for maximum likelihood estimation in r. Computational Statistics 26 (3):443–458.
  • Kao, J. H. 1958. Computer methods for estimating Weibull parameters in reliability studies. IRE Transactions on Reliability and Quality Control 13:15–22.
  • Kao, J. H. 1959. A graphical estimation of mixed Weibull parameters in life-testing of electron tubes. Technometrics 1 (4):389–407.
  • Karlis, D. 2009. A note on the exponential Poisson distribution: A nested EM algorithm. Computational Statistics & Data Analysis 53 (1):894–899.
  • Koutsoyiannis, D. and A. Langousis. 2011. Chapter 27: Precipitation. In Treatise on water science, ed. S. Wilderer and S. Uhlenbrook, 27–78. Oxford: Academic Press.
  • Kuş, C. 2007. A new lifetime distribution. Computational Statistics & Data Analysis 51 (9):4497–4509.
  • Louzada, F., P. L. Ramos, and G. S. Perdoná. 2016. Different estimation procedures for the parameters of the extended exponential geometric distribution for medical data. Computational and Mathematical Methods in Medicine 2016. doi: 10.1155/2016/8727951.
  • Luceño, A. 2006. Fitting the generalized Pareto distribution to data using maximum goodness-of-fit estimators. Computational Statistics & Data Analysis 51 (2):904–917.
  • Lupu, E. C., and S. Lupu. 2010. Mixture of two exponential-Poisson distribution. Mircea cel Batran Naval Academy Scientific Bulletin 13.
  • Macera, M. A., F. Louzada, V. G. Cancho, and C. J. Fontes. 2015. The exponential-Poisson model for recurrent event data: An application to a set of data on malaria in Brazil. Biometrical Journal 57 (2):201–214.
  • Mann, N. R., R. E. Schafer, and N. D. Singpurwalla. 1974. Methods for Statistical Analysis of Reliability and Life Data. John Wiley & Sons.
  • Mazucheli, J., F. Louzada, and M. Ghitany. 2013. Comparison of estimation methods for the parameters of the weighted Lindley distribution. Applied Mathematics and Computation 220: 463–471.
  • Preda, V., E. Panaitescu, and R. Ciumara. 2011. The modified exponential-Poisson distribution. Proceedings of the Romanian Academy, Series A 12 (1):22–29.
  • R Core Team. 2014. R: A Language and Environment for Statistical Computing. (Version 3.3.1). Vienna, Austria: R Foundation for Statistical Computing.
  • Ramos, P. L., F. Louzada, T. K. Shimizu, and A. O. Luiz. 2018. The inverse weighted lindley distribution: Properties, estimation and an application on a failure time data. Communications in Statistics - Theory and Methods 99:1–20.
  • Ramos, P. L., D. C. Nascimento, C. Cocolo, M. J. Nicola, C. Alonso, L. G. Ribeiro, A. Ennes, and F. Louzada. 2018. Reliability-centered maintenance: Analyzing failure in harvest sugarcane machine using some generalizations of the weibull distribution. Modelling and Simulation in Engineering 2018.
  • Ranneby, B. 1984. The maximum spacing method. An estimation method related to the maximum likelihood method. Scandinavian Journal of Statistics 11:93–112.
  • Rodrigues, G. C., F. Louzada, and P. L. Ramos. 2018. Poisson–exponential distribution: different methods of estimation. Journal of Applied Statistics 45 (1):128–144.
  • Swain, J. J., S. Venkatraman, and J. R. Wilson. 1988. Least-squares estimation of distribution functions in Johnson’s translation system. Journal of Statistical Computation and Simulation 29 (4):271–297.
  • Teimouri, M., S. M. Hoseini, and S. Nadarajah. 2013. Comparison of estimation methods for the Weibull distribution. Statistics 47 (1):93–109.
  • Xu, B., Y. Guo, and N. Zhu. 2016. The parameter Bayesian estimation of two-parameter exponential-Poisson distribution and its optimal property. Journal of Interdisciplinary Mathematics 19 (4):697–707.
  • Yan, W.-a., Y.-m. Shi, and Y. Liu (2012). Bayesian estination of exponential Poisson distribution under different loss function. Fire Control & Command Control 2:124–126.

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