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A General Statistical Procedure for Ground‐Water Detection Monitoring at Waste Disposal Facilities
Author(s) -
Gibbons Robert D.
Publication year - 1990
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/j.1745-6584.1990.tb02251.x
Subject(s) - nonparametric statistics , context (archaeology) , generalization , limit (mathematics) , statistics , groundwater , mathematics , series (stratigraphy) , confidence interval , environmental science , engineering , geography , geology , mathematical analysis , geotechnical engineering , paleontology , archaeology
Nonparametric upper prediction limits for ground‐water detection monitoring are developed. The limit is defined as the maximum of a previous background sample of size n (i.e., X (max, n) ). The probability that at least one out of the next m measurements (i.e., Y (min, m) ) will be less than X (max, n) at each of k monitoring wells is computed. In the context of ground‐water monitoring, m is equal to the initial new measurement in a particular monitoring well plus m –1 resamplings of that well. In this way, values of n and m can be selected to assure a desired confidence level (e.g., γ≥ .95). A series of typical examples are described, and a set of Tables that give these probabilities for values of n = 4 to 100, k = 1 to 100, and m = 1 to 3 are provided. Generalization to multiple variables (i.e., indicator parameters) is also discussed.