Now showing items 1-6 of 6

  • Covariance matrix functions of isotropic vector random fields 

    Wang, Renxiang; Du, Juan; Ma, Chunsheng (Taylor & Francis Group, 2014-05-15)
    An isotropic scalar or vector random field is a second-order random field in (d > 2), whose covariance function or direct/cross covariance functions are isotropic. While isotropic scalar random fields have been well developed ...
  • Isotropic covariance matrix functions on all spheres 

    Ma, Chunsheng (Springer International Publishing AG, 2015-08)
    This paper reviews and introduces characterizations of the covariance function on all spheres that is isotropic and continuous, and characterizations of the covariance matrix function on all spheres whose entries are ...
  • Mittag-Leffler vector random fields with Mittag-Leffler direct and cross covariance functions 

    Ma, Chunsheng (Springer Heidelberg, 2013-10)
    In terms of the two-parameter Mittag-Leffler function with specified parameters, this paper introduces the Mittag-Leffler vector random field through its finite-dimensional characteristic functions, which is essentially ...
  • Multifractional vector Brownian motions, their decompositions, and generalizations 

    Ma, Chunsheng (Taylor & Francis Group, 2015-05-04)
    This article introduces three types of covariance matrix structures for Gaussian or elliptically contoured vector random fields in space and/or time, which include fractional, bifractional, and trifractional vector Brownian ...
  • Stationary and isotropic vector random fields on spheres 

    Ma, Chunsheng (Springer, 2012-08)
    This paper presents the characterization of the covariance matrix function of a Gaussian or second-order elliptically contoured vector random field on the sphere which is stationary, isotropic, and mean square continuous. ...
  • Vector random fields with compactly supported covariance matrix functions 

    Du, Juan; Ma, Chunsheng (Elsevier, 2013-03)
    The objective of this paper is to construct covariance matrix functions whose entries are compactly supported, and to use them as building blocks to formulate other covariance matrix functions for second-order vector ...