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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.

Stastistic of the winding of geodesics on a Riemann surface with finite area and constant negative curvature.

Nathanaël Enriquez, Yves Le Jan (1997)

Revista Matemática Iberoamericana

In this paper we show that the windings of geodesics around the cusps of a Riemann surface of a finite area, behave asymptotically as independent Cauchy variables.

Stochastic orderings induced by star-shaped functions.

Krieger, Henry A. (1991)

International Journal of Mathematics and Mathematical Sciences

Stopping times with given laws

Richard M. Dudley, Sam Gutmann (1977)

Séminaire de probabilités de Strasbourg

Strong stability of weighted sums of NA random variables.

Gan, Shixin (2005)

International Journal of Mathematics and Mathematical Sciences

Structural relation

Václav Fabian (1954)

Czechoslovak Mathematical Journal

Subgaussianity and exponential integrability of real random variables: comparison of the norms

Rita Giuliano Antonini (2000)

Bollettino dell'Unione Matematica Italiana

Nello spazio delle variabili aleatorie subgaussiane definite su $(Ω, A, P)$ si studia l'equivalenza tra la norma subgaussiana e la norma di Fernique, dando valutazioni numeriche delle costanti di equivalenza. A tale scopo si fa uso di una nuova caratterizzazione della norma subgaussiana delle variabili aleatorie simmetriche.