7
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

An Elimination Type Two-Stage Procedure for Selecting the Population with the Largest Mean from k Logistic Populations

&
Pages 351-370 | Published online: 14 Aug 2013

  • AlamK. (1970). A two-sample procedure for selecting the population with the largest mean from k normal populations. Annals of the Institute of Statistical Mathematics, 22, 127–136.
  • AntleC. E., KlimkoL., and HarknessW. (1970). Confidence intervals for the parameters of the logistic distribution. Biometrika, 57, 397–402.
  • BechhoferR. E. (1954). A single-sample multiple decision procedure for ranking means of normal populations with known variances. Annals of Mathematical Statistics, 25, 16–39.
  • BerksonJ. (1944). Application of the Logistic Function to Bio-assay. Journal of the American Statistical Association, 39, 357–365.
  • BerksonJ. (1951). Why I prefer logits to probits. Biometrics, 7, 327–339.
  • BerksonJ. (1957). Tables for the maximum likelihood estimate of the logistic function. Biometrics, 13, 28–34.
  • BirnbaumA. and DudmanJ. (1963). Logistic Order Statistics. Annals of Mathematical Statistics, 34, 658–663.
  • BhandariS. K. and ChaudhuriA. R. (1987). On two conjectures about two-stage selection problem (to appear in Sankhvā Series B).
  • CohenD. S. (1959). A Two-Sample Decision Procedure for Ranking Means of Normal Populations with a Common Known Variance. M.S. Thesis, Department of Operations Research, Cornell University, IthacaNew York.
  • DraperN. R. and TierneyD. E. (1973). Exact formulas for additional terms in some important series expansions. Communications in Statistics, 1, 495–524.
  • FiaccoA. V. and McCormickG. P. (1968). Nonlinear Sequential Unconstrained Minimization Techniques. John Wiley and Sons, Inc., New York.
  • GoelP. K. (1975). On the distribution of standardized mean of samples from the logistic population. Sankhvā, 2B, 165–172.
  • GeorgeE. O. and MudholkarG. S. (1983). On the convolution of logistic random variables. Metrika, 30, 1–13.
  • GumbelE. J. (1944). Ranges and midranges. Annals of Mathematical Statistics, 15, 414–422.
  • GumbelE. J. and KeeneyR. D. (1950). The extremal quotient. Annals of Mathematical Statistics, 21, 523–538.
  • GuptaS. S. (1956). On a decision rule for a problem in ranking means. Ph.D. Thesis (Mimeograph Series No. 150). Institute of Statistics, University of North Carolina, Chapel HillNorth Carolina.
  • GuptaS. S. (1962). Life test sampling plans for normal and lognormal distributions. Technometrics, 4, 151–175.
  • GuptaS. S. (1965). On some multiple decision (selection and ranking) rules. Technometrics, 7, 225–245.
  • GuptaS. S. and GnanadesikanM. (1966). Estimation of the parameters of the logistic distribution. Biometrika, 53, 565–570.
  • GuptaS. S. and ShahB. K. (1965). Exact moments and percentage points of the order statistics and the distribution of the range from the logistic distribution. Annals of Mathematical Statistics, 36, 907–920.
  • HanS-H. (1987). Contributions to selection and ranking theory with special reference to logistic populations. Ph.D. thesis (Technical Report # 87–38). Department of Statistics, Purdue University.
  • HardyG. H., LittlewoodJ. E., and PólyaG. (1934). Inequalities. Cambridge Univ. Press, Cambridge.
  • HirschmanI. I. and WidderD. V. (1955). The Convolution Transform. PrincetonN.J.
  • KuesterJ. L. and MizeJ. H. (1973). Optimization Techniques with Fortran..
  • PearlR. and ReedL. J. (1920). On the rate of growth of the population of the United States since 1790 and its mathematical representation. Proceedings of National Academy of Science, 6, 275–288.
  • PlackettR. L. (1958). Linear estimation from censored data. Annals of Mathematical Statistics, 29, 131–142.
  • PlackettR. L. (1959). The analysis of life test data. Technometrics, 1, 9–19.
  • SchaferR. E. and SheffieldT. S. (1973). Inferences on the parameters of the logistic distribution. Biometrics, 29, 449–455.
  • SchoenbergI. J. (1953). On Pólya frequency functions and their Laplace transformations. Journal d'Analvse Mathematique, 1, 331–374.
  • TalackoJ. (1956). Perk's distributions and their role in the theory of Wiener's stochastic variates. Trabajos de Estadistica, 7, 159–174.
  • TamhaneA. C. and BechhoferR. E. (1977). A two-stage minimax procedure with screening for selecting the largest normal mean. Communications in Statistics–Theory and Methods, A6, 1003–1033.
  • TamhaneA. C. and BechhoferR. E. (1979). A two-stage minimax procedure with screening for selecting the largest normal mean (II): an improved PCS lower bound and associated tables. Communications in Statistics–Theory and Methods, A8, 337–358.
  • TarterM. E. and ClarkV. A. (1965). Properties of the Median and other order statistics of logistic variates. Ann. Math. Statist. 36, 1779–1786.

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.