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http://hdl.handle.net/1942/3867| Title: | Minimax estimation of a bounded squared mean | Authors: | FAN, JQ GIJBELS, I |
Issue Date: | 1992 | Publisher: | ELSEVIER SCIENCE BV | Source: | STATISTICS & PROBABILITY LETTERS, 13(5). p. 383-390 | Abstract: | 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. | Notes: | UNIV N CAROLINA,DEPT STAT,CHAPEL HILL,NC 27599. LIMBURGS UNIV CENTRUM,DEPT MATH,B-3590 DIEPENBEEK,BELGIUM. | Keywords: | BAYES RISK; GAUSSIAN WHITE NOISE MODEL; HARDEST 1-DIMENSIONAL SUBPROBLEMS; MINIMAX RISK; NORMAL MEAN; QUADRATIC FUNCTIONALS | Document URI: | http://hdl.handle.net/1942/3867 | DOI: | 10.1016/0167-7152(92)90111-H | ISI #: | A1992HP57600007 | Type: | Journal Contribution |
| Appears in Collections: | Research publications |
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