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Original Articles

Optimal record-based statistical procedures for the two-parameter exponential distribution

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Pages 2003-2019 | Received 23 Sep 2009, Accepted 04 Aug 2010, Published online: 19 May 2011

References

  • Benestad , R. E. 2003 . How often can we expect a record event? . Clim. Res. , 25 : 3 – 13 .
  • Kuper , G. H. and Sterken , E. 2003 . Endurance in speed skating: The development of world records . Eur. J. Oper. Res. , 148 : 293 – 301 .
  • Hsieh , P. 2004 . A data-analytic method for forecasting next record catastrophe loss . J. Risk Insurance , 71 : 309 – 322 .
  • Krug , J. and Jain , K. 2005 . Breaking records in the evolutionary race . Phys. , A 53 : 1 – 9 .
  • Bardlow , E. T. and Park , Y. 2007 . Bayesian estimation of bid sequences in internet auction using a generalized record-breaking model . Mark. Sci. , 26 : 218 – 229 .
  • Yang , T. Y. and Lee , J. C. 2007 . Bayesian nearest-neighbor analysis via record value statistics and nonhomogeneous spatial Poisson processes . Comput. Stat. Data Anal. , 51 : 4438 – 4449 .
  • Arnold , B. C. , Balakrishnan , N. and Nagaraja , H. N. 1998 . Records , New York : John Wiley & Sons .
  • Castillo , E. , Hadi , A. S. , Balakrishnan , N. and Sarabia , J. M. 2005 . Extreme Value and Related Models with Applications in Engineering and Science , Hoboken, NJ : John Wiley & Sons .
  • Balakrishnan , N. and Basu , A. P. 1995 . Exponential Distribution: Theory, Methods and Applications , Edited by: Balakrishnan , N. and Basu , A. P. Newark, NJ : Taylor & Francis .
  • Samaniego , F. J. and Whitaker , L. R. 1986 . On estimating population characteristics from record-breaking observations, I. Parametric results . Naval Res. Logist. , Q. 33 : 531 – 543 .
  • Doostparast , M. 2009 . A note on estimation based on record data . Metrika , 69 : 69 – 80 .
  • Ahmadi , J. and Doostparast , M. 2006 . Bayesian estimation and prediction for some life distributions based on record values . Statist. Pap. , 47 : 373 – 392 .
  • Sibuya , M. and Nishimura , K. 1997 . Prediction of record-breakings . Stat. Sin. , 7 : 893 – 906 .
  • Tate , R. F. and Klett , G. W. 1959 . Optimal confidence intervals for the variance of a normal distribution . J. Amer. Statist. Assoc. , 54 : 674 – 682 .
  • Lehmann , E. L. 1997 . Testing Statistical Hypotheses , 2. , New York : Springer-Verlag .
  • Glick , N. 1978 . Breaking record and breaking boards . Amer. Math. Monthly , 85 : 2 – 26 .
  • Samaniego , F. J. and Whitaker , L. R. 1988 . On estimating population characteristics from record-breaking observations, II. Nonparametric results . Naval Res. Logist. , Q. 35 : 221 – 236 .
  • Ahmadi , J. and Arghami , N. R. 2003 . Comparing the Fisher information in record values and i.i.d. observations . Statistics , 37 : 435 – 441 .
  • Doostparast , M. and Balakrishnan , N. 2010 . Optimal sample size for record data and associated cost analysis for exponential distribution . J. Statist. Comput. Simul. , 80 : 1389 – 1401 .

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