Maxima of partial samples in Gaussian sequences. Technical report No. 3

The problem arose from some practical considerations of collecting air pollution data. Air pollution standards are generally in terms of the maximum concentrations. Various practical difficulties (cost of sampling or missing data) are at times responsible for having only a partial sample available for making inferences. The behavior of the difference of two maxima considered here can thus be used to retract information about the original maximum via the maximum of only a partial sample.