A Unified Approach to Choosing Optimum Quantiles for the ABLE's

References

• Balmer , D. W. , Boulton , M. and Sack , R. A. 1974 . “Optimal Solutions in Parameter Estimation Problems for the Cauchy Distribution” . Journal of the American Statistical Association , 69 March : 238 – 42 .
   Web of Science ®Google Scholar
• Chan , L. K. 1969 . “Linear Quantile Estimates of the Location and Scale Parameters of the Logistic Distribution” . Statistische Hefte , 10 Jahrgang : 277 – 82 .
   Google Scholar
• Chan , L. K. 1970 . “Linear Estimation of the Location and Scale Parameters of the Cauchy Distribution Based on Sample Quantiles” . Journal of the American Statistical Association , 65 June : 851 – 9 .
   Web of Science ®Google Scholar
• Chan , L. K. and Cheng , S. 1972 . “Optimum Spacing for the Asymptotically Best Linear Estimate of the Location Parameter of the Logistic Distribution when Samples Are Complete or Censored” . Statistische Hefte , 13 Jahrgang : 41 – 58 .
   Google Scholar
• Chan , L. K. and Cheng , S. 1973 . “On the Optimum Spacing for the Asymptotically Best Linear Estimate of the Scale Parameter of the Pareto Distribution” . Tamkang Journal of Mathematics , 4 November : 9 – 21 .
   Google Scholar
• Chan , L. K. , Cheng , S. and Kabir , A. B.M.L. 1969 . “Optimum Quantiles for the Linear Estimation of the Parameters of the Extreme-Value Distribution in Complete and Censored Samples” . Naval Research Logistics Quarterly , 16 September : 381 – 404 .
   Google Scholar
• Gupta , S. S. and Gnanadesikan , M. 1966 . “Estimation of the Parameters of the Logistic Distribution” . Biometrika , 53 ( Nos. 3 and 4 ) : 565 – 70 .
   Google Scholar
• Hassanein , K. M. 1969 . “Estimation of the Parameters of the Logistic Distribution by Sample Quantiles” . Biometrika , 56 ( No. 3 ) : 684 – 7 .
   Web of Science ®Google Scholar
• Hassanein , K. M. 1968 . “Analysis of Extreme-Value Data by Sample Quantiles for Very Large Samples” . Journal of the American Statistical Association , 63 September : 877 – 88 .
   Web of Science ®Google Scholar
• Kulldorff , G. 1962 . “On the Asymptotic Optimum Spacings for the Estimation of the Scale Parameter of an Exponential Distribution Based on Sample Quantiles” , Lund , , Sweden : University of Lund . (mimeographed)
   Google Scholar
• Kulldorff , G. 1963 . “Estimation of One or Two Parameters of the Exponential Distribution on the Basis of Suitably Chosen Order Statistics” . The Annals of Mathematical Statistics , 34 ( No. 4 ) : 1419 – 31 .
   Google Scholar
• Kulldorff , G. 1963 . “On the Optimum Spacings of Sample Quantiles from a Normal Distribution” . Skandinavisk Aktuarietidskrift , 46 : 143 – 61 . Part I, Part II, 47 (196) 71–87
   Google Scholar
• Kulldorff , G. and Vännman , K. 1973 . “Estimating Location and Scale Parameters of a Pareto Distribution by Linear Functions of Order Statistics” . Journal of the American Statistical Association , 68 March : 218 – 27 .
   Web of Science ®Google Scholar
• Kulldorff , G. and Vännman , K. 1973 . “A Note on the Optimum Spacing of Sample Quantiles from the Six Extreme-Value Distributions” . The Annals of Statistics , 1 May : 562 – 7 .
   Web of Science ®Google Scholar
• Ogawa , J. 1951 . “Contributions to the Theory of Systematic Statistics, I” . Osaka Mathematical Journal , 3 ( No. 2 ) : 175 – 213 .
   Google Scholar
• Ogawa , J. 1960 . “Determination of Optimum Spacings for the Estimation of the Scale Parameters of an Exponential Distribution Based on Sample Quantiles” . Annals of the Institute of Statistical Mathematics , 12 ( No. 2 ) : 135 – 41 .
   Web of Science ®Google Scholar
• Ogawa , J. 1974 . “Asymptotic Theory of Estimation of the Location and Scale Parameters Based on Selected Sample Quantiles” , Canada : Department of Mathematics, Statistics and Computer Science, University of Calgary . Preliminary Report (Revised Version)
   Google Scholar
• Saleh , A. K. Md. and Ali , M. M. 1966 . “Asymptotic Optimum Quantiles for the Estimation of the Parameters of the Negative Exponential Distribution” . The Annals of Mathematical Statistics , 37 February : 143 – 51 .
   Google Scholar