We characterize l-infinity-spherical density functions by means of epoch times of nonhomogeneous pure birth processes. Some further properties of such densities, such as Schur-concavity, positive dependence, and stochastic comparisons, are also given. The relationships to notions of interest in reliability theory are highlighted.
Non-homogeneous birth processes and l-infinity spherical densities with applications in reliability theory / M., Shaked; Spizzichino, Fabio; F., Suter. - In: PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES. - ISSN 0269-9648. - STAMPA. - 16:(2002), pp. 271-288. [10.1017/S0269964802163017]
Non-homogeneous birth processes and l-infinity spherical densities with applications in reliability theory.
SPIZZICHINO, Fabio;
2002
Abstract
We characterize l-infinity-spherical density functions by means of epoch times of nonhomogeneous pure birth processes. Some further properties of such densities, such as Schur-concavity, positive dependence, and stochastic comparisons, are also given. The relationships to notions of interest in reliability theory are highlighted.File allegati a questo prodotto
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