Abstract:
The Gaussian field under consideration is a constant plus Levy's Brownian motion. The maximum likelihood estimate of the mean is constructed explicitly in the case of observation of the field outside some ball.
Keywords:
maximum likelihood estimate, Gaussian random fields, generalized normal derivative.
Citation:
N. M. Arató, “On estimating the mean value of Lévy's Brownian motion”, Teor. Veroyatnost. i Primenen., 43:1 (1998), 148–151; Theory Probab. Appl., 43:1 (1999), 123–125