On the asymptotic behaviour of two sequences related by a convolution equation.
Singles in a Markov chain.
Regularly varying probability densities.
On the Class Gamma and Related Classes of Functions
Asymptotic Properties of Convolution Products of Functions
Generalised regular variation of arbitrary order
Let f be a measurable, real function defined in a neighbourhood of infinity. The function f is said to be of generalised regular variation if there exist functions h ≢ 0 and g > 0 such that f(xt) - f(t) = h(x)g(t) + o(g(t)) as t → ∞ for all x ∈ (0,∞). Zooming in on the remainder term o(g(t)) eventually leads to the relation f(xt) - f(t) = h₁(x)g₁(t) + ⋯ + hₙ(x)gₙ(t) + o(gₙ(t)), each being of smaller order than its predecessor . The function f is said to be generalised regularly varying of...
Stability of characterizations of distribution functions using failure rate functions
Let denote the failure rate function of the . and let denote the failure rate function of the mean residual life distribution. In this paper we characterize the distribution functions for which and we estimate when it is only known that or is bounded.
Moments of order statistics
Domains of attraction of the real random vector and applications
Page 1