Simple kernel estimators for certain nonparametric deconvolution problems

摘要: Abstract We consider deconvolution problems where the observations are equal in distribution to X = λ 1 E + ⋯ m Y , or μ L . Here random variables sums independent, i exponentially distributed, Laplace distributed and has an unknown F which we want estimate. The constants given. These include exponential, gamma deconvolution. derive inversion formulas, expressing terms of observations. Simple kernel estimators its density f then introduced by plugging standard pointwise asymptotic properties investigated.