Consistency of the Tikhonov's regularization in an ill-posed problem with random data

Abdelnasser Dahmani, Ahmed Ait Saidi, Fatah Bouhmila and Mouloud Aissani

Statistics & Probability Letters, 2009, vol. 79, issue 6, 722-727

Abstract: This paper establishes exponential inequalities for the probability of deviation between the approximate and the exact solution of an operator equation with an exact second member. These inequalities yield the almost complete convergence and the convergence rate of approximate solutions.

Date: 2009
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