Pokhylko D. Wavelet Analysys in the Statistics of Mixtures

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0407U000339

Thesis Registration Form

0407U000339.pdf

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

15-01-2007

Specialized Academic Board

Д26.001.37

Essay

The linear wavelet-based estimator of density of mixture component is built and its asymptotical behavior in uniform norm and integral norms is considered. The partially adaptive and full-adaptive wavelet-based estimators of component density are built and their asymptotic rate in integral norms is studied. The projection estimator of form of concentration function of two-component mixture is built using histogram basis and its behavior is studied.

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Files

Disertat.pdf

aref.doc

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