We observe that processes with the "uniform order statistics" property can be characterized by the condition that their first n arrival times have a joint "l-infinity spherical" density. Some related results are also given. We then extend some of our results to the "non-uniform" case. Finally, we consider the case of arrival processes in discrete-time.
Uniform Order Statistics Property and l-infinity-spherical densities / M., Shaked; Spizzichino, Fabio; F., Suter. - In: PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES. - ISSN 0269-9648. - STAMPA. - 18:(2004), pp. 275-297. [10.1017/S0269964808000181]
Uniform Order Statistics Property and l-infinity-spherical densities
SPIZZICHINO, Fabio;
2004
Abstract
We observe that processes with the "uniform order statistics" property can be characterized by the condition that their first n arrival times have a joint "l-infinity spherical" density. Some related results are also given. We then extend some of our results to the "non-uniform" case. Finally, we consider the case of arrival processes in discrete-time.File allegati a questo prodotto
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