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Renewal Processes of Mittag-Leffler and Wright Type

Mainardi, Francesco, Gorenflo, Rudolf, Vivoli, Alessandro (2005)

Fractional Calculus and Applied Analysis

2000 MSC: 26A33, 33E12, 33E20, 44A10, 44A35, 60G50, 60J05, 60K05.After sketching the basic principles of renewal theory we discuss the classical Poisson process and offer two other processes, namely the renewal process of Mittag-Leffler type and the renewal process of Wright type, so named by us because special functions of Mittag-Leffler and of Wright type appear in the definition of the relevant waiting times. We compare these three processes with each other, furthermore consider corresponding...

Representación de variables en el movimiento browniano con deriva.

Lourdes Barba Escribá (1987)

Trabajos de Estadística

Se estudia la representación de variables positivas en un movimiento browniano con deriva, mediante tiempos de espera minimales asociados a barreras. Se trata también la representación de procesos crecientes, discretos y continuos por la derecha.

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