113
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

On confidence bounds for one-parameter exponential families

, , , &
Pages 1569-1582 | Received 09 Jul 2014, Accepted 05 Jan 2015, Published online: 16 Nov 2016

References

  • Ahmadi, J., Doostparast, M., Parsian, A. (2005). Estimation and prediction in a two-parameter exponential distribution based on k-record values under LINEX loss function. Communications in Statistics-Theory and Methods 34:795–805.
  • Ahmadi, J., Doostparast, M., Parsian, A. (2010). Bayes estimation based on random censored data for some life time models under symmetric and asymmetric loss functions. Communications in Statistics-Theory and Methods 39:3058–3071.
  • Al-Hussaini, E. K. (1999). Predicting observable from a general class of distributions. Journal of Statistical Planning and Inference 79:79–91.
  • Alizadeh, M., Bagheri, S. F., Baloui Jamkhaneh, E., Nadarajah, S. ( in press). Evaluation and comparison of estimations in the exponentiated Weibull distribution. Brazilian Journal of Probability and Statistics.
  • Alizadeh, M., Bagheri, S. F., Xiao, X., Xie, X. (2012). A comparison of some interval estimators for the Poisson parameter. Paper presented atthe Fifth Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling (APARM), 1–3 November, Nanjing, China.
  • Alizadeh, M., Parchami, A., Mashinchi, M. (2013). Unbiased confidence intervals for distributions involving truncation parameter. ProbStat Forum 6:29–34.
  • Alizadeh, M., Rezaei, S., Bagheri, S. F., Nadarajah, S. ( 2015). Efficient estimation for the generalized exponential distribution. Statistical Papers doi:10.1007/s00362-014-0621-7.
  • Bagheri, S. F., Alizadeh, M., Baloui Jamkhaneh, E., Nadarajah, S. (2014a). Evaluation and comparison of estimations in the generalized exponential-Poisson distribution. Journal of Statistical Computation and Simulation 84:2345–2360.
  • Bagheri, S. F., Alizadeh, M., Nadarajah, S. ( 2015). Efficient estimation of the PDF and the CDF of the exponentiated Gumbel distribution. Communication in Statistics-Simulation and Computation doi:10.1080/03610918.2013.863922.
  • Bagheri, S. F., Alizadeh, M., Nadarajah, S., Deiri, E. ( 2014b). Efficient estimation of the PDF and the CDF of the Weibull extension model. Communication in Statistics-Simulation and Computation doi:10.1080/03610918.2014.894059.
  • Berger, J. O. (1985). Statistical Decision Theory and Bayesian Analysis. New York: Springer.
  • Brent, D. B. (2008). Comparing equal-tail probability and unbiased confidence intervals for the intraclass correlation coefficient. Communications in Statistics-Theory and Methods 37:3264–3275.
  • Casella, G., Berger, R. L. (2002). Statistical Inference. New York: Thomson Learning.
  • Evans, M. (1997). Bayesian inference procedures derived via the concept of relative surprise. Communications in Statistics-Theory and Methods 26:1125–1143.
  • Evans, M., Shakhatreh, M. (2008). Optimal properties of some Bayesian inferences. Electronic Journal of Statistics 2:1268–1280.
  • Ferentinos, K. (1990). Shortest confidence intervals for families of distributions involving truncation parameters. The American Statistician 44:167–168.
  • Ferentinos, K., Kourouklis, S. (1990). Shortest confidence intervals for families of distributions involving two truncation parameters. Metrika 37:353–363.
  • Good, I. J. (1988). The interface between statistics and philosophy of science. Statistical Science 3:386–397.
  • Guenther, W. C. (1969). Shortest confidence intervals. The American Statistician 23:22–25.
  • Guenther, W. C. (1971). Unbiased confidence intervals. The American Statistician 25:51–53.
  • Iliopoulos, G., Kourouklis, S. (2000). Interval estimation for the ratio of scale parameters and for ordered scale parameters. Statistics and Decisions 18:169–184.
  • Kubokawa, T. (1994). A unified approach to improving equivariant estimators. Annals of Statistics 22:290–299.
  • Kundu, D., Gupta, R. D. (1999). Generalized exponential distribution. Australian and New Zealand Journal of Statistics 41:173–188.
  • Kundu, D., Gupta, R. D. (2007). Generalized exponential distribution: Existing results and some recent developments. Journal of Statistical Planning and Inference 136:3130–3144.
  • Kundu, D., Raqab, M. Z. (2012). Bayesian inference and prediction of order statistics for a type-II censored Weibull distribution. Journal of Statistical Planning and Inference 142:41–47.
  • Kus, C. (2007). A new lifetime distribution. Computational Statistics and Data Analysis 51:4497–4509.
  • Lawless, J. F. (1982). Statistical Models and Methods for Lifetime Data. New York: John Wiley.
  • Lehmann, E. L., Casella, G. (1997). Theory of Point Estimation. 2nd ed. New York: Springer.
  • Levy, K. J., Narula, S. C. (1974). Shortest confidence intervals for the ratio of two normal variances. Canadian Journal of Statistics 2:83–87.
  • Linhart, H., Zucchini, W. (1986). Model Selection. New York: John Wiley.
  • Mudholkar, G. S., Srivastava, D. K. (1993). Exponentiated Weibull family for analyzing bathtub failure-real data. IEEE Transactions on Reliability 42:299–302.
  • Mudholkar, G. S., Srivastava, D. K., Freimes, M. (1995). The exponentiated Weibull family: A reanalysis of the bus-motor-failure data. Technometrics 37:436–445.
  • Nadarajah, S. (2011). The exponentiated exponential distribution: A survey. AStA Advances in Statistical Analysis 95:219–251.
  • Nadarajah, S., Alizadeh, M., Bagheri, S. F. ( 2015). Bayesian and non-Bayesian interval estimators for the Poisson mean. REVSTAT 13:245–262.
  • Raqab, M. Z., Madi, M. T., Kundu, D. (2005). Estimation of P(Y < X) for the 3-parameter generalized exponential distribution. Metrika 61:291–308.
  • Tate, R. F., Klett, G. W. (1959). Optimal confidence intervals for the variance of a normal distribution. Journal of the American Statistical Association 54:674–682.
  • Troendle, J. F., Frank, J. (2001). Unbiased confidence intervals for the odds ratio of two independent binomial samples with application to case-control data. Biometrics 57:484–489.
  • Xie, M., Tang, Y., Goh, T. N. (2002). A modified Weibull extension with bathtub-shaped failure rate function. Reliability Engineering and System Safety 76:279–285.
  • Zhang, Y., Meeker, W. Q. (2005). Bayesian life test planning for the Weibull distribution with given shape parameter. Metrika 61:237–249.

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.