413
Views
17
CrossRef citations to date
0
Altmetric
Original Articles

Statistical inference for the Gompertz distribution based on Type-II progressively hybrid censored data

, &
Pages 6242-6260 | Received 25 Oct 2015, Accepted 31 May 2016, Published online: 23 Mar 2017

References

  • Abdel-Aty, Y. (2012). Bayesian prediction of future number of failures based on finite mixture of general class of distributions. Statistics 46(1):111–122.
  • Balakrishnan, N. (2007). Progressive censoring methodology: An appraisal. Test 16(2):211–259.
  • Balakrishnan, N., Aggarwala, R. (2000). Progressive Censoring: Theory, Methods, and Applications. Springer Science & Business Media.
  • Chang, S., Tsai, T.-R. (2003). Point and interval estimations for the Gompertz distribution under progressive type-ii censoring. Metron 61(3):403–418.
  • Chen, Z. (1997). Parameter estimation of the Gompertz population. Biometrical Journal 39(1):117–124.
  • Childs, A., Chandrasekar, B., Balakrishnan, N., Kundu, D. (2003). Exact likelihood inference based on type-i and type-ii hybrid censored samples from the exponential distribution. Annals of the Institute of Statistical Mathematics 55(2):319–330.
  • El-Din, M. M., Abdel-Aty, Y., Shafay, A. (2011a). Bayesian prediction for order statistics from a general class of distributions based on left type-ii censored data. International Journal of Mathematics & Computation 13(D11):34–42.
  • El-Din, M. M., Abdel-Aty, Y., Shafay, A. (2011b). Two sample Bayesian prediction intervals for order statistics based on the inverse exponential-type distributions using right censored sample. Journal of the Egyptian Mathematical Society 19(3):102–105.
  • El-Din, M. M., Kotb, M., Newer, H. (2015). Bayesian estimation and prediction for Pareto distribution based on ranked set sampling. Journal of Statistics Applications & Probability 4(2):211–221.
  • El-Din, M. M., Riad, F. H., El-Sayed, M. A. (2014). Statistical inference and prediction for the inverse Weibull distribution based on record data. Journal of Statistics Applications & Probability 3(2):171–177.
  • El-Din, M. M., Shafay, A. (2013). One-and two-sample Bayesian prediction intervals based on progressively type-ii censored data. Statistical Papers 54(2):287–307.
  • Epstein, B. (1960). Estimation from life test data. Technometrics 2(4):447–454.
  • Epstein, B., et al. (1954). Truncated life tests in the exponential case. The Annals of Mathematical Statistics 25(3):555–564.
  • Ghitany, M., Alqallaf, F., Balakrishnan, N. (2014). On the likelihood estimation of the parameters of Gompertz distribution based on complete and progressively type-ii censored samples. Journal of Statistical Computation and Simulation 84(8):1803–1812.
  • Gompertz, B. (1825). On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. Philosophical Transactions of the Royal Society of London 115(1825):513–583.
  • Gupta, R. D., Kundu, D. (1998). Hybrid censoring schemes with exponential failure distribution. Communications in Statistics-Theory and Methods 27(12):3065–3083.
  • Kundu, D., Joarder, A. (2006). Analysis of type-ii progressively hybrid censored data. Computational Statistics & Data Analysis 50(10):2509–2528.
  • Lin, C.-T., Ng, H. K. T., Chan, P. S. (2009). Statistical inference of type-ii progressively hybrid censored data with Weibull lifetimes. Communications in Statistics-Theory and Methods 38(10):1710–1729.
  • Makany, R. (1991). A theoretical basis for Gompertz’s curve. Biometrical Journal 33(1):121–128.
  • Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., Teller, E. (1953). Equation of state calculations by fast computing machines. The Journal of Chemical Physics 21(6):1087–1092.
  • Mohie El-Din, M., Abdel-Aty, Y., Shafay, A. (2012). Two-sample Bayesian prediction intervals of generalized order statistics based on multiply type ii censored data. Communications in Statistics-Theory and Methods 41(3):381–392.
  • Pollard, J. H., Valkovics, E. J. (1992). The Gompertz distribution and its applications. Genus 48:15–28.
  • Read, C. (1983). Gompertz distribution. Encyclopedia of Statistical Sciences. doi: 10.1002/0471667196.ess0889
  • Shafay, A., Balakrishnan, N. (2012). One-and two-sample Bayesian prediction intervals based on type-i hybrid censored data. Communications in Statistics-Simulation and Computation 41(1):65–88.
  • Soland, R. M. (1969). Bayesian analysis of the Weibull process with unknown scale and shape parameters. IEEE Transactions on Reliability 18(4):181–184.
  • Wu, J.-W., Hung, W.-L., Tsai, C.-H. (2004). Estimation of parameters of the Gompertz distribution using the least squares method. Applied Mathematics and Computation 158(1):133–147.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.