Environmental and Ecological Statistics

, Volume 3, Issue 3, pp 219–234

Identification of the largest individual sample value using composite sample data and certain modifications of the sweep-out method

  • S. D. Gore
  • G. P. Patil
  • C. Taillie
Papers

DOI: 10.1007/BF00453011

Cite this article as:
Gore, S.D., Patil, G.P. & Taillie, C. Environ Ecol Stat (1996) 3: 219. doi:10.1007/BF00453011

Abstract

Cost-effective hotspot identification is an important issue in hazardous waste site characterization and evaluation. Composite sampling techniques are known to be cost effective when the cost of measurement is substantially higher than the cost of sampling. Although compositing incurs no loss of information on the means, information on individual sample values is lost due to compositing. In particular, if the interest is in identifying the largest individual sample value, the composite sampling techniques are not able to do so. Under certain assumptions, it may be possible to satisfactorily predict individual sample values using the composite sample data, but it is not generally possible to identify the largest individual sample value. In this paper, we propose two methods of identifying the largest individual sample value with some additional measurement effort. Both methods are modifications of the simple sweep-out method proposed earlier. Since analytical results do not seem to be feasible, performance of the proposed methods is assessed via simulation. The simulation results show that both the proposed methods, namely the locally sequential sweep-out and the globally sequential sweep-out, are better than the simple sweep-out method.

Keywords

Compositing designconditional independenceconvolutiondistribution of the maximumextreme valuesampling design

Copyright information

© Chapman & Hall 1996

Authors and Affiliations

  • S. D. Gore
    • 1
  • G. P. Patil
    • 1
  • C. Taillie
    • 1
  1. 1.Center for Statistical Ecology and Environmental Statistics, Department of StatisticsPennsylvania State UniversityUniversity ParkUSA