Standard Article

Weighted Distributions

  1. G. P. Patil

Published Online: 15 JUL 2005

DOI: 10.1002/0470011815.b2a15176

Encyclopedia of Biostatistics

Encyclopedia of Biostatistics

How to Cite

Patil, G. P. 2005. Weighted Distributions. Encyclopedia of Biostatistics. 8.

Author Information

  1. Pennsylvania State University, University Park, PA, USA

Publication History

  1. Published Online: 15 JUL 2005

Abstract

Traditional environmetric theory and practice have been occupied largely with randomization and replication. But in environmental and ecological work, observations also fall in the nonexperimental, nonreplicated, and nonrandom categories. The problems of model specification and data interpretation then acquire special importance and great concern. The theory of weighted distributions provides a unifying approach for these problems. Weighted distributions take into account the method of ascertainment, by adjusting the probabilities of actual occurrence of events, to arrive at a specification of the probabilities of those events as observed and recorded. Failure to make such adjustments can lead to incorrect conclusions.

Keywords:

  • encountered data;
  • encounter sampling;
  • length-biased sampling;
  • resource selection;
  • selection bias;
  • size-biased sampling