Review of statistics of extreme values with applications to air quality data

Journal Article · Fri Jun 01 04:00:00 EDT 1979 · J. Air Pollut. Control Assoc.; (United States)

DOI:https://doi.org/10.1080/00022470.1979.10470835· OSTI ID:5638390

Roberts, E M

In the field of air pollution control, the rate event is often of more significance than the common event. This is evidenced by the content of air quality standards which define acceptable upper limits of air pollution concentrations and acceptable frequencies with which such concentrations can be exceeded. The principles of extreme value statistics provide important tools for analyzing air quality data in an appropriately significant context. The purpose of this paper is twofold. First the principles of extreme value statistics are reviewed. The presentation is decidedly utilitarian; no attempt is made to derive more than the simplest propositions. The underlying assumptions of the theory are carefully pointed out and discussed. Particular emphasis is placed on the second largest value and its relation to the largest value. Exact probability distributions, and approximations to them, are derived in terms of the total population probability function. The more familiar and useful asymptotic distributions and their uses are presented and discussed.

• Research Organization: Dames and Moore, Denver, CO
• OSTI ID: 5638390
• Journal Information: J. Air Pollut. Control Assoc.; (United States), Journal Name: J. Air Pollut. Control Assoc.; (United States) Vol. 29:6; ISSN JPCAA
• Country of Publication: United States
• Language: English

Related Subjects

500200* -- Environment
Atmospheric-- Chemicals Monitoring & Transport-- (-1989)
54 ENVIRONMENTAL SCIENCES
AIR POLLUTION CONTROL
AIR QUALITY
DATA
DATA ANALYSIS
DATA COMPILATION
DATA FORMS
DOCUMENT TYPES
ENVIRONMENTAL QUALITY
EQUATIONS
EXTREME-VALUE PROBLEMS
INFORMATION
MATHEMATICS
NUMERICAL DATA
POLLUTION CONTROL
REVIEWS
STATISTICS
TABLES