In statistical applications, we often encounter a situation where a substantial number of observations takes zero value and at the same time the non-zero observations are highly skewed. We propose empirical likelihood-based non-parametric confidence intervals for the mean parameter which have...

The variability of a parameter estimator is often expressed by quoting, within parentheses, a value of standard error, say . Typically the latter is calculated via an asymptotic formula, or by application of the bootstrap or jackknife. A common interpretation of the quotation "()" is that the...