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math.PR2023
Fractional Generalizations of the Compound Poisson Process
Neha Gupta, Aditya Maheshwari
This paper introduces the Generalized Fractional Compound Poisson Process (GFCPP), which claims to be a unified fractional version of the compound Poisson process (CPP) that encomp…
math.PR2019
Integro-differential equations linked to compound birth processes with infinitely divisible addends
L. Beghin, J. Gajda, A. Maheshwari
Stochastic modelling of fatigue (and other material's deterioration), as well as of cumulative damage in risk theory, are often based on compound sums of independent random variabl…
math.PR2019★ 1 cited
Superposition of time-changed Poisson processes and their hitting times
A. Maheshwari, E. Orsingher, A. S. Sengar
The Poisson process of order is a weighted sum of independent Poisson processes and is used to model the flow of clients in different services. In the paper below we study some…