Publications and Preprints

Sensitivity Analysis of the T-Distribution Under Truncated Normal Populations
Dale Borowiak and Ashish Das
In recent literature the truncated normal distribution has been used to model the stochastic structure for variety of random structures. In this paper the sensitivity of the t-random variable under a left truncated normal population is explored. Simulation results are used to assess the errors associated with estimating the reliabilities, over a range of locations, with the standard t distribution. The maximum errors are modeled as a linear function of the magnitude of the truncation and sample size. In the case of a left truncated normal population, adjustments to standard inferences for the mean, namely confidence intervals and observed significance levels, based on the t random variable are introduced.

isid/ms/2007/08 [fulltext]

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