ALBERT Boehm(retired)

Rahdomly Oriented ndimensiional Waves produce

An isotropic corre;ation that resembles empirical corelaion of clouds

Heavy rainfalland500mb hts The correlation functions although simple in

form have proven toprovide non singular prediction correlation matrices

although this was expected since the forms are derived from realizations albeit virtual realizations

Given the correlations between ob locations and also ddsired predicted sites,

Multiple linear regression can calculate values at desired points for example a regular grifor input to NWP Further sine the regression provds a measure of uncertainty the estimate are in fact a distribution allowing for a plausible varity of initial conditions suitable for ensemble forecasts