ON COMBINING INSTRUMENTS

Suppose two instruments I-0 and I-1 measure the same quantity with the same resolution, where it is known that I-0 is more reliable. The sec ond, I-1, is assumed a distortion of I-0 in some sense. A statistical method is outlined where 1) the information from both I-0 and I-1 is c ombined to increase the reliability of I-0 and 2) the distortion is qu antified. An example is given in terms of shipborne precipitation rada r and a spaceborne radiometer, both measuring rain rate.