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Density Estimation for Censored Economic Data

This paper describes a simple, closed-form density estimator, derived solely from a single histogram, and explores its performance. The density estimator is defined primarily as a piecewise quadratic polynomial with adjustments made at the right and left extremes of the domain and is intended for use on proportions estimated from interval-censored data. For an intuitive feel of the performance, the density estimator is compared visually to kernel density estimates using corresponding point data. A simulation study is used to test the density estimator on two possible distribution shapes, and with two possible sample sizes. Performance is measured by the Mean Square Errors of the means and a few percentiles.