Abstract
Most measurements of voice characteristics have inherently skewed distributions that have never been characterized for individuals without speech disorders, that is, individuals with ‘‘normal’’ voices. Any diagnostic value these measures might have requires that one studies the characteristics of these ‘‘normal’’ voice distributions, in particular the quantiles necessary to establish the normal range. The focus will be on perturbations measures, such as jitter and shimmer. To solve this problem a method of importance sampling has been developed for estimating quantiles of skewed distributions. Importance sampling is a modified bootstrap procedure with exponential tilting, that is, a resampling method where the probabilities of the original observations appearing in the new samples are no longer equally weighted but are weighted by their closeness as an order statistic to the quantile being estimated. To estimate the normal limits of jitter and shimmer without resampling procedures will require at least 80...
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