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Original Articles

Umvu estimators for the population mean and variance based on random effects models for lognormal data

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Pages 795-818 | Received 01 Jun 1997, Published online: 27 Jun 2007

References

  • Attfield , M.D. and Hewett , P. 1992 . Exact expressions for the bias and variance of estimators of the mean of a lognormal distribution . American Industrial Hygiene Association Journal , 53 : 432 – 435 .
  • Berry , D.A. 1970 . Logarithmic transformations in ANOVA . Biometrics , 43 : 439 – 456 .
  • Bradu , D. and Mundlak , Y. 1970 . Estimation in lognormal linear models . Journal of the American Statistical Association , 65 : 198 – 211 .
  • Crow , E. and Shimizu , K. 1988 . Lognormal Distributions , New York : Marcel Dekker .
  • Erdelyi , A. 1953 . Higher Transcendental Functions , New York : McGraw-Hill .
  • Finney , D.J. 1941 . On the distribution of a variate whose logarithm is normally distributed . ;Journal of the Royal Statistical Society , 1 : 155 – 167 .
  • Gleit , A. 1982 . Estimation of functions of the parameters of a normal distribution . Communications in Statistics-Theory and Methods , 11 : 2845 – 2855 .
  • Lange , N. and Ryan , L. 1989 . Assessing normality in random effects models . The Annals of Statistics , 17 : 624 – 642 .
  • Lyles , R.H. , Kupper , L.L. and Rappaport , S.M. 1997 . Assessing regulatory compliance of occupational exposures via the balanced one-way random effects ANOVA model . Journal of Agricultural. Biological, and Environmental Statistics , 2 : 64 – 86 .
  • Muirhead , R.J. 1982 . Aspects of Multivariate Statistical Theory , New York : John Wiley and Sons .
  • Oldham , P. and Roach , S.A. 1952 . A sampling procedure for measuring industrial dust exposure . British Journal of Industrial Medicine , 9 : 112 – 119 .
  • Parkhurst , A.M. and James , A.T. 1974 . Selected Tables in Mathematical Statistics , R.L: American Mathematical Society .
  • Petersen , M.R. , Sanderson , W.T. and Lenhart , S.M. 1986 . Application of a pilot study to the development of an industrial hygiene sampling strategy . American Industrial Hygiene Association Journal , 47 : 655 – 658 .
  • Rappaport , S.M. , Lyles , R.H. and Kupper , L.L. 1995 . An exposure-assessment strategy accounting for within- and between-worker sources of variability . Annals of Occupational Hygiene , 39 : 469 – 495 .
  • Samuels , S.J. , 'Lemasters , G.K. and Carson , A. 1985 . Statistical methods for describing occupational exposure measurements . American Industrial Hygiene Association Journal , 46 : 427 – 433 .
  • Searle , S.R. , Casella , G. and McCulloch , C.E. 1992 . Variance Components , New York : John Wiley and Sons .
  • Shimizu , K. 1983 . Estimation of the quantile of a lognormal distribution . Rep, Stat. AppL lies., JUSE , 30 : 28 – 33 .
  • Shimizu , k. and Iwase , k. 1981 . Uniformly minimum variance unbiased estimation in lognormal and related distributions . Communications in Statistics-Theory and Methods , 30 : 1127 – 1147 .
  • Shimizu , K. 1988 . Lognormal Distributions , New York : Marcel Dekker .
  • Yager , J.W. , Paradisin , W.M. and Rappaport , S.M. 155 . Sister-chromatid exchanges in relation to longitudinally measured occupational exposure to low concentrations of styrene . Mutation Research , 319 : 165 – 1993 .

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