Advanced search
Publication Cover
Statistics
A Journal of Theoretical and Applied Statistics
Volume 16, 1985 - Issue 4
Submit an article Journal homepage
28
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

On the cramer-frechet-rao inequality for translation parameter in the case of finite support

Madan L PuriDepartment of Mathematics, Indiana University Bloornington, Bloornington, Indiana, 47405, U.S.AView further author information
&
Vlncze iDepartment of Mathematics, Indiana University Bloornington, Bloornington, Indiana, 47405, U.S.AView further author information
Pages 405-506 | Published online: 27 Jun 2007

References

  • Akahira, M., 1975. Asymptotic theory for estimation of location in non-reirular cases, 1, Order of convergence of consistent estimators, rep.stat.appl.res.juse 22 (1975), pp. 8–26.
  • Bhattachakiia, A., 1943. On a measure; of divergence between two statistical populations defined by their D roba hi lit v distributions, Calcutta J.statist. Soc. Bull 5 (1943), pp. 99–109.
  • Bakankin, E.W., 1949. Locally best unbiased estimator, Ann. Math. Statist 20 (1949), pp. 477–501.
  • Chapman, D.C., and Robbins, H., 1951. Minimum variance estimation without regularity assumptions, Ann. Math, Statist 22 (1951), pp. 581–586.
  • Cramer, H., 1946. Mathematical Methods of Statistics . Princeton: Princeton University Press; 1946.
  • Frjechet, M., 1943. Sur rextension de certaines evaluations statistiques au case do petits echantillons, Rev. Inst, Intemat. Statist 11 (1943), pp. 182–205.
  • Kakutani, S., 1948. On equivalence of infinite product measures, Ann. Math 49 (1948), pp. 214–224.
  • Khatri, C.G., 1980. Unified treatment of CRAMER-RAO bound for the nonregular densitv functions, J. Statist. BlciJininq In 4 (1980), pp. 75–80.
  • Kiefer, J., 1952. On minimum variance estimators, Ann, Math, Statist 28 (1952), pp. 627–629.
  • Ilhaft, C., 1955. Some conditions for consistency and uniforni consistency of statistical procedures, Univ. of California Publications in Statistics 2 (1955), pp. 125–142.
  • Lecam, L., 1970. On the assumptions used to prove asymptotic normality of maximum likelihood estimates, Ann. Math. Statist 41 (1970), pp. 802–828.
  • mori, T.F., 1983. note on the cramer-rao inequality in the nonregular case: the family if uniform distribution, j.statist.planning inf 7 (1983), pp. 353–358.
  • Poleeldt, Th., 1970. Asymptotic Results in nonregular estimation, Shandinavisk Aktuarietidskrift 7 (1970), pp. 1–2.
  • Poufeldt, Th., 1970. The order of a minimum variance in a nonregular case, Ann. Math. Statist 41 (1970), pp. 667–672.
  • Rao, C.R., 1945. Information and accuracy attainable in the estimation of statistical parameter, Bull. Calcutta Math. Soc 37 (1945), pp. 81–91.
  • Vincze, I., 1979. Contributions to Statistics . Prague: Academia; 1979.
  • Vincze, I., 1981. Remark to the derivation of the CRAMER-FRECHET-RAO inequality in the regular case . N. Y. - Berlin: Springer-Verlag; 1981. pp. 284–289.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.