Increasing Domain Asymptotics for the First Minkowski Functional of Spherical Random Fields
نویسندگان
چکیده
The restriction to the sphere of an homogeneous and isotropic random field defines a spherical isotropic random field. This paper derives central and non-central limit results for the first Minkowski functional subordinated to homogeneous and isotropic Gaussian and chi-squared random fields, restricted to the sphere in R. Both scenarios are motivated by their interesting applications in the analysis of the Cosmic Microwave Background (CMB) radiation.
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تاریخ انتشار 2017