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Technometrics Volume 16, 1974 - Issue 2
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Original Articles

Confidence Intervals and Tests for Two Exponential Scale Parameters Based On Order Statistics in Compressed Samples

Kenneth S. Kaminsky Bucknell University, Lewisburg, Pennsylvania
Pages 251-254 | Published online: 09 Apr 2012

References

  • Box , G. E. P. 1954 . Some theorems on quadratic forms applied in the study of analysis of variance problems; I. Effect of inequality of variance in the one-way classification . Ann. Math. Statist. , 25 : 290 – 302 .
  • Davenport , J. M. and Webster , J. T. 1972 . Type-I error and power of a test involving a Satterthwaite's approximate F-statistic . Technometrics , 14 : 555 – 569 .
  • Harter , H. L. 1961 . Estimating the parameters of negative exponential populations from one or two order statistics . Ann. Math. Statist. , 32 : 1078 – 1090 .
  • Kaminsky , K. S. 1972 . Confidence intervals for the exponential scale parameter using optimally selected order statistics . Technometrics , 14 : 371 – 383 .
  • Kaminsky , K. S. 1973 . Comparison of approximate confidence intervals for the exponential scale parameter from sample quantiles . Technometrics , 15 : 483 – 487 .
  • Kulldorff , G. 1963 . Estimation of one or two parameters of the exponential distribution on the basis of suitably chosen order statistics . Ann. Math. Statist. , 34 : 1419 – 1431 .
  • Ogawa , J. 1962 . “ Optimum spacing and grouping for the exponential distribution. ” . In Contributions to Order Statistics Edited by: Sarhan , Ahmed E. and Greenberg , Bernard G. 371 – 380 . New York : John Wiley and Sons. .
  • Ogawa , J. 1962 . “ Tests of significance and confidence intervals. ” . In Contributions to Order Statistics Edited by: Sarhan , Ahmed E. and Greenberg , Bernard G. 380 – 382 . New York : John Wiley and Sons. .
  • Saleh , A. K.M. and Ehsanes , D. 1966 . Estimation of the parameters of the exponential distribution based on optimum order statistics in censored samples . Ann. Math. Statist. , 37 : 1717 – 1735 .
  • Saleh , A. K.M. and Ehsanes , D. 1967 . Determination of the exact optimum order statistics for estimating the parameters of the exponential distribution from censored samples . Technometrics , 9 : 279 – 292 .
  • Saleh , A. K.M. , Ehsanes , D. and Ali , M. M. 1966 . Asymptotic optimum quantiles for the estimation of the parameters of the negative exponential distribution . Ann. Math. Statist. , 37 : 143 – 151 .
  • Satterthwaite , F. E. 1941 . Synthesis of variance . Psychometrika , 6 : 309 – 316 .
  • Satterthwaite , F. E. 1946 . An approximate distribution of estimates of variance components . Biometrics , 2 : 110 – 114 .

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