This article is cited in 4 papers

Minimax estimation and positive solutions of elliptic equations

B. Ya. Levit

Moscow

Abstract: The paper explores the link between the optimal estimates of the classical estimation theory and the positive solutions of elliptic differential equations first revealed in [1]–[2]. The results of [1]–[2] are extended in two directions: i) they involve the general non-Gaussian case, ii) they are pertaining to a larger class of risk functions.

Received: 29.09.1980

 English version: Theory of Probability and its Applications, 1983, 27:3, 563–586

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