Ranked set sample design for environmental investigations

Environmental and Ecological Statistics

Volumn 6, Issue 1, 1999, Pages 59-74

  Barnett, Vic ^b  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^b NONE

Author keywords

Allocation of sampling effort; Extreme value distribution; Lognormal distribution; Ranked set best linear estimator

Indexed keywords

RANKING; SAMPLING; STATISTICAL ANALYSIS;

EID: 0032753952     PISSN: 13528505     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009643517647     Document Type: Article

References (14)

1. Balakrishnan, N. and Chan, P.S. (1992) Order statistics from extreme value distribution, I: Tables of means, variances and covariances, Communications in Statistics - Simulation and Computation, 21, 1199-1217
2. Barnett, V. and Moore, K.L. (1997) Best linear unbiased estimates in ranked set sampling with particular reference to imperfect ordering, Journal of Applied Statistics, 24, 699-710
3. Bhoj, D.S. (1997) Estimation of parameters of the extreme value distribution using ranked set sampling Commnunications in Statistics - Theory and Methods, 26, 653-667
4. Gupta, S.S.; McDonald, G.C. and Galarneau, D.I. (1974) Moments product moments and percentage points of the order statistics from the lognormal distribution for samples of size twenty and less, Sankhya B, 36, 230-260.
5. McIntyre, G. (1952) A method of unbiased selective sampling, using ranked sets, Australian Journal of Agricultural Research, 3 , 385-390.
6. Johnson, N.L.; Kotz, S. and Balakrishnan, N. (1995) Continuous Univariate Distributions, Vol 2, Wiley, New York.
7. Kaur, A.; Patil, G.P. and Taillie, C. (1997) Unequal allocation models for ranked set sampling with skew distributions, Biometrics, 53, 123-130
8. Lieblein, J. and Zelen, M. (1956) Statistical investigations of the fatigue life of deep-groove ball bearings, Journal of Research, National Bureau of Standards., 57, 273-315.
9. Patil, G.P. (1991) Encountered data, statistical ecology, environmental statistics, and weight-distributed methods. Technical Report No. 91-0725. Center for Statistical Ecology and Environmental Statistics, Penn State University, US.
10. Shen, W-H. (1994) On estimation of a lognormal mean using a ranked set sample, Sankhya, 56, 323-333.
11. Sinha, B.K.; Sinha, R.K. and Purkayastha, S. (1995) On some aspects of ranked set sampling for estimation of normal and exponential parameters, Statistical Decisions, 14, 223-240.
12. Stokes, S.L. (1995) Parametric ranked set sampling Annals of the Institute of Statistical Mathematics, 47, 465-482.
13. Webster, R. and Oliver, M.A. (1990) Statistical Methods in Soil and Land Resource Survey, OUP, Oxford.
14. White, J.S. (1969) The moments of log-Weibull order statistics, Technometrics, 11, 373-386.