Proposes a consistent method using spline functions for estimating probability density from error-contaminated observations, applicable to microfluorometric DNA content analysis.
May aid density estimation from error-contaminated data in research; leaves open clinical validation for DNA content analysis.
We consider the problem of estimating a probability density from observations from that density which are further contaminated by random errors. We propose a method of estimation using spline functions, discuss the numerical implementation of the method, and prove its consistency. The problem is motivated by the analysis of DNA content obtained by microfluorometry, and an example of such an analysis is included.
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Mendelsohn et al. (1982) studied this question.
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