Details

Autor(en) / Beteiligte

• Haff, L. R.
• Kim, P. T.
• Koo, J.-Y.
• St. P. Richards, D.

Titel

MINIMAX ESTIMATION FOR MIXTURES OF WISHART DISTRIBUTIONS

Ist Teil von

• The Annals of statistics, 2011-12, Vol.39 (6), p.3417-3440

Ort / Verlag

Cleveland, OH: Institute of Mathematical Statistics

Erscheinungsjahr

2011

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• The space of positive definite symmetric matrices has been studied extensively as a means of understanding dependence in multivariate data along with the accompanying problems in statistical inference. Many books and papers have been written on this subject, and more recently there has been considerable interest in high-dimensional random matrices with particular emphasis on the distribution of certain eigenvalues. With the availability of modern data acquisition capabilities, smoothing or nonparametric techniques are required that go beyond those applicable only to data arising in Euclidean spaces. Accordingly, we present a Fourier method of minimax Wishart mixture density estimation on the space of positive definite symmetric matrices.