Nonparametric estimation of a mix probability density ,based on technology duplication of statistical data

The nonparametric estimation of the mix probability density which synthesis is based on technology duplication of statistical data is investigated. The asymptotic unbiasedness conditions and solvencies are determined. On this basis the properties comparison of the offered estimation of the mix probability density with the nonparametric estimation such as Rozenblatt-Parzen is carried out.

probability density, nonparametric estimation, data duplication, asymptotic properties