Minimax Estimation of a Mean Vector for Distributions on a Compact Set
نویسندگان
چکیده
منابع مشابه
Minimax Estimation of a Mean Vector
K E Y W O R D S AND PHRASES Minimax decision rule; squared error loss; Dirichlet process; compact sets; Bayes rules; isotonic regression. l . INTRODUCTION In an often cited paper, BOHLMANN (1976) has considered linear minimax estimators for the mean of a univariate distribution in a nonparametr ic setting under squared error loss. To be precise, BOHLMANN assumes that Fo(x ) is a family of C D F...
متن کاملOn minimax estimation of a sparse normal mean vector
Mallows has conjectured that among distributions which are Gaussian but for occasional contamination by additive noise, the one having least Fisher information has (two-sided) geometric contamination. A very similar problem arises in estimation of a non-negative vector parameter in Gaussian white noise when it is known also that most, i.e. (1 − ǫ), components are zero. We provide a partial asym...
متن کاملMinimax Estimation of a Bounded Squared Mean
Consider a normal model with unknown mean bounded by a known constant. This paper deals with minimax estimation of the squared mean. We establish an expression for the asymptotic minimax risk. This result is applied in nonparametric estimation of quadratic functionals.
متن کاملa study on thermodynamic models for simulation of 1,3 butadiene purification columns
attempts have been made to study the thermodynamic behavior of 1,3 butadiene purification columns with the aim of retrofitting those columns to more energy efficient separation schemes. 1,3 butadiene is purified in two columns in series through being separated from methyl acetylene and 1,2 butadiene in the first and second column respectively. comparisons have been made among different therm...
Minimax Estimation of Kernel Mean Embeddings
In this paper, we study the minimax estimation of the Bochner integral μk(P ) := ∫
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: ASTIN Bulletin
سال: 1990
ISSN: 0515-0361,1783-1350
DOI: 10.2143/ast.20.2.2005440