210
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Bayesian prediction of order statistics with fixed and random sample sizes based on k-record values from Pareto distribution

, &
Pages 721-735 | Received 23 Mar 2014, Accepted 29 Dec 2014, Published online: 23 Feb 2016

References

  • Ahmadi, J., Balakrishnan, N. (2010). Prediction of order statistics and record values from two independent sequences. Statistics 44:417–430.
  • 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. Commun. Stat. Theor. Meth. 34:795–805.
  • Ahmadi, J., Jafari Jozani, M., Marchand, É, Parsian, A. (2009). Prediction of k-records from a general class of distributions under balanced loss functions. Metrika 70:19–33.
  • Ahmadi, J., MirMostafaee, S.M.T.K. (2009). Prediction intervals for future records and order statistics coming from two parameter exponential distribution. Stat. Prob. Lett. 79:977–983.
  • Ahmadi, J., MirMostafaee, S.M.T.K., Balakrishnan, N. (2011). Bayesian prediction of order statistics based on k-record values from exponential distribution. Statistics 45:375–387.
  • Ahsanullah, M. (1980). Linear prediction of record values for the two parameter exponential distribution. Ann. Inst. Stat. Math. 32:363–368.
  • AL-Hussaini, E.K., Ahmad, A.A. (2003). On Bayesian interval prediction of future records. Test 12:79–99.
  • AL-Hussaini, E.K., Al-Awadhi, F. (2010). Bayes two-sample prediction of generalized order statistics with fixed and random sample size. J. Stat. Comput. Simul. 80:13–28.
  • Arnold, B.C. (1983). Pareto Distributions. Maryland: International Co-operative Publishing House.
  • Arnold, B.C., Balakrishnan, N., Nagaraja, H.N. (1992). A First Course in Order Statistics. New York: John Wiley Sons.
  • Arnold, B.C., Balakrishnan, N., Nagaraja, H.N. (1998). Records. New York: John Wiley Sons.
  • Arnold, B.C., Press, S.J. (1989). Bayesian estimation and prediction for Pareto data. J. Am. Stat. Assoc. 84:1079–1084.
  • Ashour, S., El-Wakeel, M. (1994). Bayesian prediction of the median of the Burr distribution with fixed and random sample size. Statistics 25:113–122.
  • Awad, A.M., Shayib, M.S., Dawagreh, A.M. (1985). Large sample prediction intervals for future geometric mean. A comparative study. Commun. Stat. Simul. Comput. 14:983–1006.
  • Balakrishnan, N., Rao, C.R. (Eds.) (1998a). Order Statistics: Theory and Methods, Handbook of Statistics - vol. 16. Amsterdam: North-Holland.
  • Balakrishnan, N., Rao, C.R. (Eds.) (1998b). Order Statistics: Applications, Handbook of Statistics - vol. 17. Amsterdam: North-Holland.
  • David, H.A., Nagaraja, H.N. (2003). Order Statistics, 3rd edn. Hoboken, New Jersey: John Wiley Sons.
  • Dunsmore, I.R. (1983). The future occurrence of records. Ann. Inst. Stat. Math. 35:267–277.
  • Gupta, R.D., Gupta, R.C. (1984). On the distribution of order statistics for a random sample size. Stat. Neerlandica 38:13–19.
  • Jaheen, Z.F. (2003). A Bayesian analysis of record statistics from the Gompertz model. Appl. Math. Comput. 145:307–320.
  • Johnson, N.L., Kotz, S., Balakrishnan, N. (1994). Continuous Univariate Distributions-vol.1, 2nd edn. New York: John Wiley & Sons.
  • Kaminsky, K.S., Nelson, P.I. (1998). Prediction of order statistics. In: Balakrishnan, N., Rao, C.R., eds. Handbook of Statistics-17: Order Statistics: Applications (pp. 431–450). Amsterdam: North-Holland.
  • Lingappaiah, G. (1986). Bayes prediction in the exponential life testing when sample size is a random variable. IEEE. Trans. Reliab. 35:106–110.
  • Lwin, T. (1972). Estimation of the tail of the Paretian law. Skand. Aktuar. 55:170–178.
  • Madi, M.T., Raqab, M.Z. (2004). Bayesian prediction of temperature records using the Pareto model. Environmetrics 15:701–710.
  • Malik, H.J. (1970). Distribution of product statistics from a Pareto population. Metrika 15:19–22.
  • Nevzorov, V. (2001). Records: Mathematical Theory, Ttranslation of Mathematical Monographs No. 194. Providence, Rhode Island: American Mathematical Society.
  • Nigm, A., Abd-Alwahab, F. (1996). Bayesian prediction with a random sample size for the Burr lifetime distribution. Commun. Stat. Theor. Meth. 25:1289–1303.
  • Nigm, A., AL-Hussaini, E.K., Jaheen, Z. (2007). Bayesian two-sample prediction under the Lomax model with fixed and random sample size. J. Appl. Stat. Sci. 15:381–390.
  • Nigm, A.M., Hamdy, H.I. (1987). Bayesian prediction bounds for the Pareto lifetime model. Commun. Stat. Theor. Meth. 16:1761–1772.
  • Raqab, M.Z. (2006). Nonparametric prediction intervals for the future rainfall records. Environmetrics 17:457–464.
  • Raqab, M.Z., Balakrishnan, N. (2008). Prediction intervals for future records. Stat. Probab. Lett. 78:1955–1963.
  • Raqab, M.Z., Nagaraja, H.N. (1995). On some predictions of future order statistic. Metron 53:185–204.
  • Soliman, A. (2000). Bayes prediction in a Pareto lifetime model with random sample size. Stat. 49:51–62.

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.