Suppose that a random variable X of interest is observed perturbed by independent additive noise Y. This paper concerns the “the least favorable perturbation” Yˆε, which maximizes prediction error E(X−E(X|X+Y))2 in class Y with var(Y)≤ε. We find characterization answer to this question, and show example it can be surprisingly complicated. However, special case where infinitely divisible, soluti...

In the present study, air quality analyses for ozone (O3) were conducted in Shiraz, a city in the south of Iran. The measurements were taken from 2011 through 2012 in two different locations to prepare average data in the city. The average concentrations were calculated for every 24 hours, each month and each season. Results showed that the highest concentration of ozone occurs generally in the...

The multivariate calibration method, partial least square regression (PLS) was applied for thesimultaneous spectrophotometric determination of Lidocaine (LID) and Hydrocortisone acetate(HCA) in their mixtures. The parameters of chemometric technique were optimized and theproposed method was validated with synthetic samples and applied to analyze these drugs inpharmaceutical products with good a...

In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.