A -Weibull Counting Process through a Fractional Differential Operator

Kunnummal Muralidharan and Seema S. Nair

International Journal of Stochastic Analysis, 2011, vol. 2011, 1-14

Abstract:

We use the -Weibull distribution and define a new counting process using the fractional order. As a consequence, we introduce a -process with -Weibull interarrival times. Some interesting special cases are also discussed which leads to a Mittag-Leffler form.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:797656

DOI: 10.1155/2011/797656

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