Nonparametric density estimation for symmetric distributions by contaminated data

作者：Maiboroda Rostyslav^*; Sugakova Olena

来源：Metrika, 2012, 75(1): 109-126.

DOI：10.1007/s00184-010-0317-5

• Asymptotic normality
• Finite mixture model
• Symmetric distribution
• Kernel density estimate
• Rule of thumb
• MISE

A semiparametric two-component mixture model is considered, in which the distribution of one (primary) component is unknown and assumed symmetric. The distribution of the other component (admixture) is known. We consider three estimates for the pdf of primary component: a naive one, a symmetrized naive estimate and a symmetrized estimate with adaptive weights. Asymptotic behavior and small sample performance of the estimates are investigated. Some rules of thumb for bandwidth selection are discussed.

• 出版日期2012-1