# On the Long-Range Dependence of Mixed Fractional Poisson Process

Source: [On the Long-Range Dependence of Mixed Fractional Poisson Process](<https://www.sota2.com/research/paper/68fa58501e209131ce9ad51d>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T15:16:33.306Z

Authors: K. K. Kataria, M. Khandakar

Published: 2019-10-13T22:51:47.000Z

## Abstract

In this paper, we show that the mixed fractional Poisson process (MFPP) exhibits the long-range dependence (LRD) property. It is proved by establishing an asymptotic result for the covariance of inverse mixed stable subordinator. Also, it is shown that the increments of the MFPP, namely, the mixed fractional Poissonian noise (MFPN) has the short-range dependence (SRD) property.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1910.05854>)

[PDF](<https://arxiv.org/pdf/1910.05854.pdf>)