Four methods are discussed for determining the smoothing parameters in an adaptive exponential smoothing model which is used to assess reliability of a complex system tested in stages. The adaptive model is defined as R<sub>I</sub> = α<sub>I</sub>r<sub>I</sub> + (1 - α<sub>I</sub>)R<sub>i-1</sub>, i = 2,...k, where R<sub.i-1</sub. is the assessed reliability at stage (i -1), ri is the ratio of the number of successes to the number of trials at stage i. Among the four procedures given here for determining the smoothing parameters α<sub>I</sub> two empirical methods and an empirical Bayes procedure are considered in some detail including a numerical example in which these techniques are compared.