Mixture Estimation and Bump Hunting for the Data with Measurement Errors

The effects of measurement error are well-known. Analyses that ignore measurement errors could be misleading. For example, if the true density is bimodal, the density of the data measured with measurement error is unimodal. In this research, we would like to recover the density of the interest based on observations with measurement error when a direct observation is not possible. We develop a new non-parametric method to solve the deconvolution problem.

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