On the Construction of Preliminary Test Estimator Based on Record Values for the Burr XII Model

References

• Abdel-Hamid, A.H. (2009). Constant-partially accelerated life tests for Burr XII distribution with progressive type II censoring. J. Comput. Statist. Data Anal. 53: 2511–2523.
   Web of Science ®Google Scholar
• AL-Hussaini, E.K. (1991). A characrization of the Burr type XII distribution. Appl. Math. Lett. 1: 59–61.
   Web of Science ®Google Scholar
• AL-Hussaini, E.K., Jaheen, Z.F. (1992). Bayes estimate of the parameters, reliability and failure rate function of the Burr type XII failure model. J. Stat. Comput. Simul. 41: 31–40.
   Google Scholar
• AL-Hussaini, E.K., Jaheen, Z.F. (1994). Approximate Bayes estimators applied to the Burr model. Commun. Stat. Theory Meth. 23: 99–121.
   Web of Science ®Google Scholar
• AL-Hussaini, E.K., Jaheen, Z.F. (1995). Baysian prediction bounds for the Burr type XII failure model. Commun. Stat. Theory Meth. 24: 1829–1842.
   Web of Science ®Google Scholar
• AL-Hussaini, E.K., Jaheen, Z.F. (1996). Baysian prediction bounds for the Burr type XII distribution in the presence of outliers. J. Stat. Plann. Inf. 55: 23–37.
   Web of Science ®Google Scholar
• Arashi, M., Emadi, M. (2008). Evidential inference based on record data and inter-record times. Stat. Papers 13(8): 380–210.
   Google Scholar
• Arnold, B.C., Balakrishnan, N., Nagarja, H.N. (1998). Records. New York: Wiley.
   Google Scholar
• Balakrishnan, N., Ahsanullah, M., Chen, P.S. (1995). On the logistic record values and associate inference. J. Appl. Stat. Sci. 2(3): 233–248.
   Google Scholar
• Bancroft, T.A. (1944). On biases in estimation due to use of preliminary tests of significance. Ann. Math. 15: 190–204.
   Google Scholar
• Burr, I.W. (1942). Cumulative frequency distribution. Ann. Stat. 12: 69–90.
   Google Scholar
• Burr, I.W., Cislak, P.J. (1968). On general system of distribution: 1. Its curve-shaped characteristics; 2. the sample median. J. Amer. Stat. Assoc. 63: 627–635.
   Web of Science ®Google Scholar
• Chandler, K.N. (1952). The distribution and frequency of record values. J. Roy. Stat. Soc. 14: 220–228.
   Google Scholar
• Galambos, J., Kotz, S. (1978). Characterization of Probability Distributions. (pp. 51–53). Berlin: Springer-Verlag.
   Google Scholar
• Glick, N. (1978). Breaking records and breaking boards. Amer. Math. Month. 85: 2–26.
   Web of Science ®Google Scholar
• Gulati, S., Padgett, W. J. (1991). Smooth nonparametric estimation of the distribution and density function from record breaking data. Statistical Technical Report, University Of South Carolina.
   Google Scholar
• Gulati, S., Padgett, W.J. (1994). Smooth nonparametric estimation of the hazard and hazard rate function from record breaking data. J. Stat. Plann. Inf. 42: 331–341.
   Web of Science ®Google Scholar
• Gulati, S., Padgett, W.J. (1995). Nonparamertic function estimation from inversely sampled record-breaking data. Canad. J. Stat. 23(4): 359–368.
   Web of Science ®Google Scholar
• Habibi Rad, A., Arghami, N.R., Ahmadi, J. (2006). Statistical evidence in experiments and in record values. Commun. Stat. Theo. Meth. 35(11): 1971–1983.
   Web of Science ®Google Scholar
• Kibria, B. M.G. (2004). Performance of the shrinkage preliminary tests ridge regression estimators based on the conflicting of W, LR and LM tests. J. Stat. Comp. Sim. 74(11): 793–810.
   Web of Science ®Google Scholar
• Kibria, B. M.G., Saleh, A. K. M. E. (2010). Preliminary test estimation of the parameters of exponential and Pareto distributions for censored samples. Stat. Papers. 51: 757–773.
   Web of Science ®Google Scholar
• Kibria, B. M.G., Saleh, A. K. M. E. (2006). Optimum critical value for pre-test estimators. Commun. Stat. Theory Method. 35(2): 309–320.
   Web of Science ®Google Scholar
• Kibria, B. M.G., Saleh, A. K. M. E. (2005). Comparison between Han-Bancroft and Brook method to determine the optimum significance level for pre-test estimator. J. prob. Stat. Sci. 3: 293–303.
   Google Scholar
• Kibria, B. M.G., Saleh, A. K. M. E. (2004). Preliminary test ridge regression estimators with Student’s t errors and conflicting test-statistics. Metrika. 59(2): 105–124.
   Web of Science ®Google Scholar
• Kibria, B. M.G., Saleh, A. K. M. E. (1993). Performance of shrinkage preliminary test estimator in regression analysis. Jahangrinagar Rev. A17: 133–148.
   Google Scholar
• Nagaraja, H.N. (1988). Record values and related statistics- a review. Comm. Stat. Theo. Meth. 17(7): 2223–2238.
   Web of Science ®Google Scholar
• Razmkhah, M., Ahmadi, J. (2011). Comparing two sampling schemes based on entropy of record statistics. Stat. Papers. (in press).
   Web of Science ®Google Scholar
• Rodriguez, N. (1977). A guide to the Burr type XII distributions. Biometrika 64: 129–134.
   Web of Science ®Google Scholar
• Saleh, A. K. M. E., Farell, P.J. (2009). Two new estimator of distribution function. J. Stat. Res. 43: 109–115.
   Google Scholar
• Saleh, A. K. M. E. (2006). Theory of Preliminary Test and Stein-type Estimations with Applications. New York: Wiley.
   Google Scholar
• Saleh, A. K. M. E., Kibria, B. M.G. (1993). Performance of some new preliminary test ridge regression estimators and their properties. Comm. Stat. Theo. Meth. 22(10): 2747–2764.
   Web of Science ®Google Scholar
• Saleh, A. K. M. E., Sen, P.K. (1978). Nonparametric estimation of location parameter after a preliminary test on regression. Ann. Stat. 6: 154–168.
   Web of Science ®Google Scholar
• Shao, Q. (2004). Notes on maximum likelihood estimation for the three-parameter Burr XII distribution. Comp. Stat. Data Anal. 45: 675–687.
   Web of Science ®Google Scholar
• Soliman, A.A. (2005). Estimation of life from proressively censored data using Burr XII model. IEEE. Trans. Rel. 54(1): 34–42.
   Web of Science ®Google Scholar
• Tadikamalla, P.R. (1980). A look at the Burr and related distributions. Int. Stat. Rev. 48: 337–344.
   Web of Science ®Google Scholar
• Wang, F.K., Keats, J.B., Zimmer, W.J. (1996). Maximum likelihood estimation of the Burr XII distribution with censored and uncensored data. Microelectron. Reliability. 36: 359–362.
   Web of Science ®Google Scholar
• Wang, L., Shi, Y. (2010). Empirical Bayes inference for the Burr model based on records. Appl. Math. Sci. 4(34): 1663–1670.
   Google Scholar
• Wingo, D.R. (1993). Maximum likelihood methods for fitting the Burr Type XII distribution to life test data. Biometrical. 25: 77–81.
   Google Scholar