Abstract: Experomental evidence shows that the area-average rain rate and the fractional area covered by rain rate exceeding a fixed threshold are highly correlated; that is, are highly linearly related. A precise theoretical ...

Abstract: A systematic approach is suggested for modeling the probability distribution of rain rate. Rain rate, conditional on rain and averaged over a region, is modeled as a temporally homogeneous diffusion process with appropriate ...

Abstract: Suppose two instruments I0 and I1 measure the same quantity with the same resolution, where it is known that I0 is more reliable. The second, I1, is assumed a distortion of I0 in some sense. A statistical method is outlined ...