Testing distribution in deconvolution problems
نویسنده
چکیده
Abstract: In this paper we consider a random variable Y contamined by an independent additive noise Z. We assume that Z has known distribution. Our purpose is to test the distribution of the unobserved random variable Y . We propose a data driven statistic based on a development of the density of Y + Z, which is valid in the discrete case and in the continuous case. The test is illustrated in both cases.
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