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Original Articles

Small sample properties of the maximum likelihood estimators of the parameters μ and σ from a grouped sample of a normal population

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Pages 229-239 | Received 01 Sep 1987, Published online: 27 Jun 2007

References

  • Ahrens , J. , Dieter , U. and Grube , A. 1970 . “Pseudo-random Numbers: A new Proposal for the Choice of Multipliers” . Computing , 6 : 121 – 138 .
  • Box , G. E. P. and Muller , M. E. 1958 . “A note on the generation of random normal deviates” . Ann Math Stat , 29 : 610 – 611 .
  • Carter , W. H. and Myers , R. H. 1974 . “The Effect of Grouping on the Variance and Bias of the Maximum Likelihood Estimator of the Poisson Parameter-Some Monte Carlo Results” . JASA , 69 : 482 – 484 .
  • Efron , B. and Hinkley , D. 1978 . “Assessing the Accuracy of the Maximum Likelihood Estimator: Observed versus Expected Fisher Information” . Biometrika , 65 : 457 – 487 .
  • Kulldorf , G. 1961 . Contributions to the theory of estimation from grouped and partially grouped samples , Stockholm; Almquist &Wiksell .
  • mcdonald , J. B. and Ransom , M. R. 1979 . “Alternative Parameter Estimators based upon Grouped Data” . Comun Statist Theor Meth , A8 ( 9 ) : 899 – 917 .
  • Rao , C. R. 1973 . Linear statistical inference and its applications , New York : Wiley .
  • Schader , M. and Schmid , F. 1984 . “Computation of Maximum Likelihood Estimates for fjt and a from a Grouped Sample of a Normal Population. A Comparison of Algorithms” . Statistical Papers , 25 : 245 – 258 .
  • Schader , M. and Schmid , F. 1987 . “Maximum-Likelihood-Schätzung aus gruppierten Daten-eine übersicht” , OR-Spektrum . To appear in

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