EUDML

Currently displaying 1 – 9 of 9

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On the Class Gamma and Related Classes of Functions

Edward Omey — 2013

Publications de l'Institut Mathématique

Asymptotic Properties of Convolution Products of Functions

Edward Omey — 1988

Publications de l'Institut Mathématique

Generalised regular variation of arbitrary order

Edward Omey; Johan Segers — 2010

Banach Center Publications

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 $g_{i}$ being of smaller order than its predecessor $g_{i - 1}$ . The function f is said to be generalised regularly varying of...

Stability of characterizations of distribution functions using failure rate functions

Maia Koicheva; Edward Omey — 1990

Aplikace matematiky

Let $λ$ denote the failure rate function of the $d, f$ . $F$ and let $λ_{1}$ denote the failure rate function of the mean residual life distribution. In this paper we characterize the distribution functions $F$ for which $λ_{1} = c λ$ and we estimate $F$ when it is only known that $λ_{1} / λ$ or $λ_{1} - c λ$ is bounded.