Klonias, V. K. Consistency of two nonparametric maximum penalized likelihood estimators of the probability density function. (English) Zbl 0492.62035 Ann. Stat. 10, 811-824 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 11 Documents MSC: 62G05 Nonparametric estimation 41A25 Rate of convergence, degree of approximation 60F15 Strong limit theorems 62E10 Characterization and structure theory of statistical distributions 62G10 Nonparametric hypothesis testing 40A30 Convergence and divergence of series and sequences of functions 60F25 \(L^p\)-limit theorems Keywords:maximum penalized likelihood estimators; integrated mean absolute deviation; density estimation; strong consistency; rates of convergence; likelihood functional; Fisher information functional; positive support; exponential spline function; Glivenko-Cantelli type theorem; empirical distribution; Hellinger distance; Sobolev norms Citations:Zbl 0492.62034; Zbl 0221.62012 PDFBibTeX XMLCite \textit{V. K. Klonias}, Ann. Stat. 10, 811--824 (1982; Zbl 0492.62035) Full Text: DOI