ABSTRACT
In this chapter we derive and illustrate the practical application of estimators for the normal distribution mean and standard deviation from singly truncated and singly censored samples. Since the normal distribution is symmetrical about its mean, truncation and likewise censoring at a point D units to the left of the mean is equivalent to truncation or censoring at a corresponding point D units to the right of the mean. Hence, we need only to consider these restrictions for one side. For historical reasons we choose to base derivations on left truncated and left censored samples. The resulting estimators are then applicable to both left and right truncated and censored samples.
