Ranked set sampling based on binary water quality data with covariates

Paul H. Kvam1
1School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta

Tóm tắt

Từ khóa


Tài liệu tham khảo

Berger, J. O. (1985), Statistical Decision Theory and Bayesian Analysis, New York: Springer-Verlag.

Dell, T. R., and Clutter, J. L. (1972), “Ranked Set Sampling Theory with Order Statistics Background,” Biometrics, 28, 545–553.

Griffiths, D. A. (1973), “Maximum Likelihood Estimation for the Beta-Binomial Distribution and an Application to the Household Distribution of the Total Number of Cases of a Disease,” Biometrics, 29, 637–648.

Helsel, D. R., and Hirsch, R. M. (1991), Statistical Methods in Water Resources, New York: Elsevier Science Publishing Co.

Huang, J. (1997), “Asymptotic Properties of the NPMLE of a Distribution Function Based on Ranked Set Samples,” The Annals of Statistics, 25, 1036–1049.

Kvam, P. H., and Samaniego, F. S. (1993), “On the Inadmissibility of Empirical Averages as Estimators in Ranked Set Sampling,” Journal of Statistical Planning and Inference, 36, 39–55.

— (1994), “Nonparametric Maximum Likelihood Estimation Based on Ranked Set Samples,” Journal of the American Statistical Association, 89, 526–537.

Kvam, P. H., Tiwari, R. C., and Zalkikar, J. (2000), “Nonparametric Bayes Estimation of Contamination Levels Using Observations from the Residual Distribution,” Journal of the American Statistical Association, 95, 1119–1126.

Lacayo, H., Neerchal, N. K., and Sinha, B. K. (2001), “Ranked Set Sampling from a Dichotomous Population,” Technical Report, University of Maryland, Baltimore County.

Malik, H. J. (1967), “Exact Moments of Order Statistics from a Power-Function Distribution,” Scandinavian Actuarial Journal, 64–69.

McIntyre, G. A. (1952), “A Method of Unbiased Selective Sampling Using Ranked Sets,” Australian Journal of Agricultural Research, 3, 385–390.

Ridout, M. S., and Cobby, H. M. (1987), “Ranked Set Sampling With Non-random Selection of Sets and Errors in Ranking,” Applied Statistics, 36, 145–152.

Savchuck, V. P., and Martz, H. F. (1994), “Bayes Reliability Estimation Using Multiple Sources of Prior Information: Binomial Sampling,” IEEE Transactions on Reliability, 43 138–144.

Stokes, S. L. (1980), “Estimation of Variance Using Judgment Ordered Ranked Set Samples,” Biometrics, 36, 35–42.

Stokes, S. L., and Sager, T. W. (1988), “Characterization of a Ranked Set Sample with Applications to Estimating Distribution Functions,” Journal of the American Statistical Association, 83, 374–381.

Takahasi, K., and Wakimoto, K. (1968), “On Unbiased Estimates of the Population Mean Based on Samples Stratified by Means of Ordering,” Annals of the Institute of Statistical Mathematics, 20, 1–31.

Willemain, T. R. (1980), “Estimation the Population Median by Nomination Sampling,” Journal of the American Statistical Association, 75, 908–911.

Williams, D. A. (1975), “The Analysis of Binary Responses from Toxicological Experiments Involving Reproduction and Teratogenicity,” Biometrics, 31, 949–952.