The A Priori Procedure for estimating the location parameter in the Unified Skew Normal distribution

Music City Center 

The a priori procedure is concerned with determining appropriate sample sizes to
ensure that sample statistics to be obtained are likely to be good estimators of corresponding
population parameters. Previous researchers have shown how to compute a priori confidence
interval means or locations for normal distribution and asymmetry distributions. In this
paper, we extend a priori thinking to the SUN distribution, where the researcher is interested
in the location for one sample and the difference in locations across two matched samples.
The proposed procedure can be used under the assumption that sample(s) come from the
unified skew normal distributions. Simulation studies support the equations presented, and
two applications involving real data sets for illustrations of our main results.

A priori procedure

Unified skew-normal distribution

Sample size

Confidence interval

Coverage probability 

Section on Statistical Computing