Now showing items 1-6 of 6

    • Hyperbolic cosine ratio and hyperbolic sine ratio random fields 

      Ma, Chunsheng (Elsevier, 2021-12)
      This paper introduces several vector random fields whose finite-dimensional characteristic functions are of hyperbolic type, including generalized logistic, hyperbolic secant, hyperbolic tangent, hyperbolic cosine ratio, ...
    • K-combined random fields: Basic properties and stochastic orderings 

      Chen, Boming; Wang, Fangfang; Ma, Chunsheng (Taylor and Francis, 2021-05-17)
      This paper introduces the K-combined vector random field, whose finite-dimensional characteristic functions are made up of certain power functions and whose finite-dimensional density functions are comprised of the modified ...
    • Peakedness and convex ordering for elliptically contoured random fields 

      Wang, Fangfang; Ma, Chunsheng (Elsevier, 2018-12)
      For the peakedness comparison between two Gaussian random fields about their mean functions, a necessary and sufficient condition is derived in this paper in terms of their covariance functions. interestingly, such a ...
    • Peakedness and peakedness ordering 

      El Barmi, Hammou; Mukerjee, Hari (Elsevier, 2012-05-10)
      The peakedness of a random variable (RV) X about a point a is defined by . A RV X is said to be less peaked about a than a RV Y about b, denoted by X≤pkd(a,b)Y, if P(|X−a|≤x)≤P(|Y−b|≤x) for all x≥0, i.e., |X−a| is ...
    • Stochastic comparison for elliptically contoured random fields 

      Lu, Tianshi; Du, Juan; Ma, Chunsheng (Elsevier, 2022-10-01)
      This paper presents necessary and sufficient conditions for the peakedness comparison and convex ordering between two elliptically contoured random fields about their centers. A somewhat surprising finding is that the ...