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Communications in Statistics - Theory and Methods Volume 45, 2016 - Issue 1
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Original Articles

The modified exponential-geometric distribution

F. BordbarDepartment of Statistics, Shiraz University, Shiraz, Iran
&
A. R. NematollahiDepartment of Statistics, Shiraz University, Shiraz, IranCorrespondence[email protected]
Pages 173-181 | Received 26 Feb 2013, Accepted 17 Jul 2013, Published online: 06 Jan 2016

References

  • Adamidis, K. (1999). An EM algorithm for estimating negative binomial parameters. Aust. N. Z. J. Stat. 41(2):213–221.
  • Adamidis, K., Loukas, S. (1998). A lifetime distribution with decreasing failure rate. Stat. Probab. Lett. 39:35–42.
  • Dempster, A. P., Laird, N. M., Rubin, D. B. (1977). Maximum likelihood from incomplete data via the EM algorithm. J. R. Stat. Soc. Ser. B 39:1–38.
  • Erdelyi, A., Magnus, W., Oberhettinger, F., Tricomi, F. G. (1953). Higher Transcendental Functions. New York: McGraw-Hill.
  • Glaser, R. E. (1980). Bathtub and related failure rate characterizations. J. Am. Stat. Assoc. 75(371):667–672.
  • Gupta, R. D., Kundu, D. (1999). Generalized exponential distribution. Aust. N. Z. J. Stat. 41:173–188.
  • Gupta, R. D., Kundu, D. (2001a). Exponentiated exponential family: An alternative to gamma and Weibull distributions. Biomet. J. 43:117–130.
  • Gupta, R. D., Kundu, D. (2001b). Generalized exponential distribution: Different method of estimations. J. Stat. Comput. Simul. 69:315–337.
  • Gupta, R. D., Kundu, D. (2007). Generalized exponential distribution: Existing results and some recent developments. J. Stat. Plann. Inference 137:3537–3547.
  • Kus, C. (2007). A new lifetime distribution. Comput. Stat. Data Anal. 51(9):4497–4509.
  • Maguire, B. A., Pearson, E. S., Wynn, A. H. A. (1952). The time interval between industrial accidents. Biometrika 39:168–180.
  • Marshall, A. W., Olkin, I. (1997). A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika 84:641–652.
  • McLachlan, G. J., Krishnan, T. (1997). The EM Algorithm and Extension. New York: Wiley.
  • Mudholkar, G. S., Srivastava, D. K. (1993). Exponentiated Weibull family for analysing bathtub failure data. IEEE Trans. Reliab. 42:299–302.
  • Nadarajah, S., Kotz, S. (2006). The exponentiated type distributions. Acta Appl. Math. 92:97–111.
  • Ng, H. K. T., Chan, P. S., Balakrishnan, N. (2002). Estimation of parameters from progressive censored data using EM algorithm. Comput. Stat. Data Anal. 39:371–386.
  • Preda, V., Panaitescu, E., Ciumara, R. (2011). The modified exponential-Poisson distribution. Proc. Rom. Acad. Ser. A 12(1):22–29.
  • Proschan, F. (1963). Theoretical explanation of observed decreasing failure rate. Technometrics 5:375–383.

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