Abstract:
The current "Ex-Ex" criterion for ozone and two possible secondary criteria ("Area over threshold" and "SUM06") are discussed within a general framework of compliance criteria obtained as functions of excess values over threshold levels. Their basic statistical properties are obtained from the theory of [6) which obtains Poisson-type and normal approximations for such "exceedance statistics" above high and moderate threshold levels.
The roles of level height, and the clustering of exceedances are discussed along with the distributional results obtained, in relatively non technical terms. The Poisson and normal type results given provide a basis for calculation of probabilities of correct compliance classification. Numerical results will be presented in Part II based on 1980-90 ozone data from selected U.S. cities.
tr9.pdf