Deconvolution by Simulation
Given samples (x₁,...,$x_{m}$) and (z₁,...,$z_{n}$) which we believe are independent realizations of random variables X and Z respectively, where we further believe that Z = X + Y with Y independent of X, the problem is to estimate the distribution of Y. We present a new method for doing this, invol...
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description | Given samples (x₁,...,$x_{m}$) and (z₁,...,$z_{n}$) which we believe are independent realizations of random variables X and Z respectively, where we further believe that Z = X + Y with Y independent of X, the problem is to estimate the distribution of Y. We present a new method for doing this, involving simulation. Experiments suggest that the method provides useful estimates. |
doi_str_mv | 10.1214/074921707000000021 |
format | Article |
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source | JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing; Project Euclid Open Access; Project Euclid Complete |
subjects | Estimation methods Gaussian distributions Hyperlinks Mathematical functions Mathematical vectors Outliers Random variables Random walk Statistics |
title | Deconvolution by Simulation |
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