A new perspective on the relationship between cloud shade and point cloudiness

Several simple relationships between cloud shade and point cloudiness have been proposed in the last few decades. The present approach is fundamentally different in that it captures some of the hard restrictions dictated by the bounded range (0, 1)of the cloud shade. Three different models are proposed. The main aim is to produce estimates of the whole conditional distribution of the cloud shade for a given point cloudiness value. The beta-inflated model, which takes into account natural physical constraints of the cloud shade, provides the best results.