20
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

On estimating the common mean in two normal distributions after a preliminary test for equality of variances

Pages 1977-1993 | Received 01 Jan 1987, Published online: 27 Jun 2007

References

  • Abramowitz , M. and Stegun , I.A. 1972 . Handbook of Mathematical Functions , New York : Dover Publications .
  • Brook , R.J. 1976 . On the use of a regret function to set significance points in prior tests of estimation . Journal of the American Statistical Association , 71 : 126 – 131 .
  • Cohen , A. and Sackrowitz , H.B. 1974 . On estimating the common mean of two normal populations . Annals of Statistics , 2 : 963 – 976 .
  • Graybill , F.A. and Deal , R.B. 1959 . Combining unbiased estimators . Biometries , 15 : 543 – 550 .
  • Korwar , R.M. 1985 . Bounds for the variance of the Graybill Deal estimator of the common mean of two normal distributions . Communications in Statistics-Theory and Methods , 14 : 355 – 361 .
  • Mehta , J.S. and Gurland , J. 1969 . Combination of unbiased estimators of the mean which consider ineaualitv of unknown variances . Journal of the American Statistical Association , 64 : 1042 – 1055 .
  • Nair , K.A. 1980 . Variance and distribution of the Graybill-Deal estimator of the common mean of two normal populations . Annals of Statistics , 8 : 212 – 216 .
  • Ohtani , K. and Toyoda , T. 1980 . Estimation of regression coefficients after a preliminary test for homoscedasticity . Journal of Econometrics , 12 : 151 – 159 .
  • Sawa , T. and Hiromatsu , T. 1973 . Minimax regret significance points for a preliminary test in regression analysis . Econometrica , 41 : 1093 – 1102 .
  • Toyoda , T. and Wallace , T.D. 1976 . Optimal critical values for pre-testing in regression . Econmetrica , 44 : 365 – 375 .
  • Zacks , S. 1966 . Unbiased estimation of the common mean of two normal distributions based on small samples of equal size . Journal of the American Statistical hssociation , 61 : 467 – 476 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.