The effect of varying the hyperparameters on the predictive raw moments and
corrected moments can be observed from Tables 1 & 2. When η is increased and δ is
fixed, it is observed that both the predictive mean and standard deviation slightly
increase. When η is fixed and δ is increased, then there is a decrease in the mean and
standard deviation. In addition, the estimated values of the measures of skewness and
kurtosis with respect to β1 and β2are given in Table 2. Based on the values of β1 and β2,
it is commented that the predictive density for a single future response given a doubly
censored sample from the one-parameter half-normal model is positively skewed.