In this paper, we establish some recurrence relations for single and product moments of generalized order statistics from pth order exponential distribution. Further the results are deduced for the recurrence relations of record values and ordinary order statistics and using a recurrence relation for single moments we obtain characterization of pth order exponential distribution.

This paper has a focus on non-stationary time series formed from small non-negative integer values which may contain many zeros and may be over-dispersed. It describes a study undertaken to compare various suitable adaptations of the simple exponential smoothing method of forecasting on a database of demand series for slow moving car parts. The methods considered include simple exponential smoo...

The “Theta method” of forecasting performed particularly well in the M3competition and is therefore of interest to forecast practitioners. The original description of the method given by Assimakopoulos and Nikolopoulos (2000) involves several pages of algebraic manipulation. We show that the method can be expressed much more simply and that the forecasts obtained are equivalent to simple expone...