Advanced search
Publication Cover
American Journal of Mathematical and Management Sciences Volume 29, 2009 - Issue 1-2: BGS-55/Auburn-II. Ranking and Selection and Multiple Comparison Procedures. Proceedings of the Bechhofer-Gupta-Sobel Memorial Symposium Auburn University, Auburn, Alabama, U.S.A.
Submit an article Journal homepage
35
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

On Two-Stage Selection of the Best Negative Exponential Population with Applications

Nitis MukhopadhyayDepartment of Statistics, U-4120, University of ConnecticutStorrs, CT06269-4120, U.S.A. E-Mail: [email protected]
Pages 91-108 | Published online: 06 Aug 2013

  • AndersonR. L. (1994). Characterizing weed community seedling emergence for a semi-arid site in Colorado. Weed Technology, 8, 245–249.
  • BainL. J. (1978). Statistical Analysis of Reliability and Life Testing Models. Marcel Dekker, New York.
  • BalakrishnanN. and BasuA. P. (1995). The Exponential Distribution: Theory, Methods and Application, edited volume. Gordon and Breach, Amsterdam.
  • 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.
  • BechhoferR. E., DunnettC. W. and SobelM. (1954). A two-sample multiple decision procedure for ranking means of normal populations with a common unknown variance. Biometrika, 41, 170–176.
  • BechhoferR. E., KieferJ. and SobelM. (1968). Sequential Identification and Ranking Procedures: With Special Reference to Koopman-Darmois Populations. University of Chicago Press, Chicago.
  • BechhoferR. E., SantnerT. J. and GoldsmanD. M. (1995). Design and Analysis of Experiments for Statistical Selection, Screening, and Multiple Comparisons. Wiley, New York.
  • DesuM. M., NarulaS.C. and VillarrealB. (1970). A two-stage procedure for selecting the best of k exponential distributions. Communications in Statistics, Series A, 6, 1231–1243.
  • DudewiczE. J. (1971). Non-existence of a single-sample selection procedure whose P(CS) is independent of the variance. South African Statistical Journal, 5, 37–39.
  • ForcellaF., Eradat-OskouiK. and WagnerS. W. (1993). Application of weed seedbank ecology to low-input crop management. Ecological Applications, 3, 74–83.
  • GhoshM., MukhopadhyayN. and SenP. K. (1997). Sequential Estimation. Wiley, New York.
  • GibbonsJ. D., OlkinI. and SobelM. (1977). Selecting and Ordering Populations: A New Statistical Methodology. Wiley, New York. Reprinted 1999, SIAM, Philadelphia.
  • GrubbsF. E. (1971). Approximate fiducial bounds on reliability for the two parameter negative exponential distribution. Technometrics, 13, 873–876.
  • GuptaS. S. and PanchapakesanS. (1979). Multiple Decision Procedures: Theory and Methodology of Selecting and Ranking Populations. Wiley, New York. Reprinted 2002, SIAM, Philadelphia.
  • GuptaS. S. and PanchapakesanS. (1988). Selection and ranking procedures in reliability models. In Handbook of Statistics 7: Quality Control and Reliability, edited by KrishnaiahP. R. and RaoC. R., North-Holland, Amsterdam, 131–156.
  • HayterA. J. (1989). Selecting the normal population with the largest mean when the variances are bounded. Communications in Statistics Theory & Methods, 18, 1455–1467.
  • JohnsonN. L. and KotzS. (1970). Continuous Univariate Distributions-2. Wiley, New York.
  • JohnsonN. L., KotzS. and BalakrishnanN. (1995). Continuous Univariate Distributions-2 (second edition). Wiley, New York.
  • LamK. (1987). Subset selection of normal populations under heteroscedasticity. Proceedings of Second International Advance Seminar/Workshop on Inference Procedures Associated with Statistical Ranking and Selection, Sydney, Australia, August 1987.
  • LamK. (1988). An improved two-stage selection procedure. Communications in Statistics-Simulation & Computation, Series B, 17, 55–62.
  • LamK. and NgC. K. (1990). Two-stage procedures for comparing several exponential populations with a control when the scale parameters are unknown and unequal. Sequential Analysis, 9, 151–164.
  • LawlessJ. F. and SinghalK. (1980). Analysis of data from lifetest experiments under an exponential model. Naval Research Logistics Quarterly, 27, 323–334.
  • MisraN. and KumarN. (1995). Selecting the best exponential population when the scale parameters are bounded. Statistics, 27, 151–158.
  • MukhopadhyayN. (1984). Sequential and two-stage procedures for selecting the better exponential population covering the case of unknown and unequal scale parameters. Journal of Statistical Planning & Inference, 9, 33–43.
  • MukhopadhyayN. (1986). On selecting the best exponential population. Journal Indian Statistical Association, 24, 31–41.
  • MukhopadhyayN. (1987). Three-stage procedures for selecting the best exponential population. Journal of Statistical Planning & Inference, 16, 345–352.
  • MukhopadhyayN. (1993). Nonlinear renewal theory and beyond: Reviewing the roles in selection and ranking. In Multiple Comparisons, Selection, and Applications in Biometry, edited by HoppeF. M., Dekker, New York, 293–313.
  • MukhopadhyayN. (1995). Two-stage and multi-stage estimation. Chapter 26 in The Exponential Distribution: Theory, Methods and Application, edited by BalakrishnanN. and BasuA. P., Gordon and Breach, Amsterdam, 429–452.
  • MukhopadhyayN. (2005). A new approach to determine the pilot sample size in two-stage sampling, In Special Sobel Memorial Issue, edited by ChenP., HsuL., and PanchapakesanS., Communications in Statistics Theory & Methods, 34, 1275–1295.
  • MukhopadhyayN. (2006). A personal tribute to Milton Sobel: Selecting the best treatment. Sequential Analysis, Milton Sobel Memorial Issue-Part I, 25, 119–143.
  • MukhopadhyayN., DattaS. and ChattopadhyayS. (2004). Applied Sequential Methodologies, edited volume. Dekker, New York.
  • MukhopadhyayN. and HamdyH. I. (1984). Two-stage procedures for selecting the better exponential population when the scale parameters are unknown and unequal. Sequential Analysis, 3, 51–74.
  • MukhopadhyayN. and SolankyT. K. S. (1992). Accelerated sequential procedure for selecting the best exponential population. Journal of Statistical Planning & Inference, 32, 347–361.
  • MukhopadhyayN. and SolankyT. K. S. (1994). Multistage Selection and Ranking Procedures: Second-Order Asymptotics. Dekker, New York.
  • PanchapakesanS. (1995). Selection and ranking procedures. Chapter 26 in The Exponential Distribution: Theory, Methods and Application, edited by BalakrishnanN. and BasuA. P., Gordon and Breach, Amsterdam, 429–452.
  • RaghavachariM. and StarrN. (1970). Selection problems for some terminal distributions. Metron, 28, 185–197.
  • SteinC. (1945). A two sample test for a linear hypothesis whose power is independent of the variance. Annals of Mathematical Statistics, 16, 243–258.
  • SteinC. (1949). Some problems in sequential estimation (abstract). Econometrica, 17, 77–78.
  • WuS. F. and ChenH. J. (1997). Multiple comparison procedures with the average for exponential location parameters. International Journal Information and Management Science, 8, 41–54.
  • WuS. F. and ChenH. J. (1998). Multiple comparison procedures with the average for exponential location parameters. Computational Statistics & Data Analysis, 26, 461–484.
  • ZelenM. (1966). Application of exponential models to problems in cancer research. Journal of Royal Statistical Society, 129, 368–398.
  • ZouG. (1998). Weed population sequential sampling plan and weed seedling emergence pattern prediction. Ph.D. thesis, Department of Plant Science, University of Connecticut, Storrs.

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.