Deconstructing a time index into granularities can assist in exploration and automated analysis of large temporal datasets. This article describes classes deconstructions using linear cyclic granularities. Linear respect the progression such as hours, days, weeks months. Cyclic be circular hour-of-the-day, quasi-circular day-of-the-month, aperiodic public holidays. The hierarchical structure cr...

Consider a random vector (X,Y) where X=(X1,X2, ...., Xs,) and Y=(Y1,Y2, Ys) with Xi, Yi, i=1,2,..., s independent non-negative, integer-valued variables finite support such that X>=Y. We show in the case distribution of (YlX=n) is certain structural form then there exists relationship between distributions Y Y|(X=Y) which uniquely determines X. The question less stringent condition independence...