Sankhya: The Indian Journal of Statistics

1995, Volume 57, Series B, Pt. 2, pp. 182--199

UPPER AND LOWER TOLERANCE LIMITS OF ATMOSPHERIC OZONE LEVEL AND EXTREME VALUE DISTRIBUTION

By

RATAN DASGUPTA, Indian Statistical Institute

and

DULAL K. BHAUMIK, University of South Alabama

SUMMARY.  The role of atmospheric ozone to protect the living organism from the ultraviolet radiation is well-known. It saves the earth from the ultraviolet radiation emitted by the sun. Some stable chlorine gases released by the human activities going above the earth eat up the ozone layer. Depletion of the ozone layer is a great threat to the human society. In this paper, we discuss the lethal effects of the ozone depletion and compute the upper and lower $\beta$ content confidence limits for an extreme value distribution and show that this can be used to calculate the upper and lower tolerance limits to the level of atmospheric ozone layer. The technique is explained by a data set.

AMS (1991) subject classification.  62P25.

Key words and phrases. Ultraviolet radiation, greenhouse effect, extreme value distribution.

Full paper (PDF).