7
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Asymptotic Properties of ML Estimators of Parameters Subject to Linear Constraints Under a Class of Local Alternatives when the Information Matrix is Singular

Pages 197-223 | Published online: 14 Aug 2013

  • BradleyRalph A., and El-HelbawyAbdalla T. (1976). Treatment contrasts in paired comparisons : basic procedures with application to factorials. Biometrika, 63, 255–262.
  • BradleyRalph A., and GartJohn J. (1962). The asymptotic properties of ML estimators when sampling from associated populations. Biometrika, 49, 205–214.
  • DavidsonRoger R., and LeverWilliam E. (1970). The limiting distribution of the likelihood ratio statistic under a class of local alternatives. Sankhyā, 32A, 209–224.
  • El-HelbawyAbdalla T., and BradleyRalph A. (1977). Treatment contrasts in paired comparisons: covergence of a basic iterative schems for estimation. Communications in Statistics, Theory and Methods, A6, 197–207.
  • El-HelbawyAbdalla T., and BradleyRalph A. (1978). Treatment contrasts in paired comparisons: large-sample results, applications, and some optimal designs. Journal of the American Statistical Association, 73, 831–839.
  • SilveyS.D. (1959). The Lagrangian multiplier test. Annals of Mathematical Statistics, 30, 389–407.
  • WaldAbraham (1943). Tests of statistical hypotheses concerning several parameters when the number of observations is large. Transactions of the American Mathematical Society, 54, 426–482.
  • WilksS.S. (1938). The large-sample distribution of the likelihood ratio for testing composite hypotheses. Annals of Mathematical Statistics, 9, 60–62.

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.