This paper presents a simple method to obtain a strictly positive lower confidence limit for the mean of a positive random variable. Although this method involves some approxi mations, it is shown empiri cally that it works well for a large number of cases.
L. Abramovitch and K. Singh.1985. "Edgeworth corrected pivotal statistics and the bootstrap," The Annals of Statistics , 13, 116-132.
2.
P. Hall.1983. "Inverting an Edgeworth Expansion," The Annals of Statistics, 11, 569-576.
3.
N.J. Johnson .1978. "Modified t-test and confidence intervals for asymmetrical populations," J. Amer. Statist. Assoc., 73, 536-544.
4.
C.S. Withers .1983. "Expansions for the distributed and quantiles of a regular functional of the empirical distribution with applications to non-parametric confidence intervals," The Annals of Statistics , 11, 577-587.
