Goodness-of-Fit Test-Statistics on Gaussian and Exponential Reliability Data

The paper presents three statisics for testing s-normality and one statistic for testing exponentiality in system reliability data. The distributions of these statistics were approximated by using Monte Carlo simulation. The power of these statistics is investigated with respect to several alternatives. For testing small sample s- normality, two of them, namely, the newly proposed Lilliefors type statistic and sample skewness coefficient have very good power.