A
Ayushi Singh Sengar
Researcher at Indian Institute of Technology Madras
Publications - 5
Citations - 26
Ayushi Singh Sengar is an academic researcher from Indian Institute of Technology Madras. The author has contributed to research in topics: Poisson distribution & Subordinator. The author has an hindex of 1, co-authored 5 publications receiving 14 citations.
Papers
More filters
Journal ArticleDOI
Time-changed Poisson processes of order k
TL;DR: In this article, the Poisson process of order k (PPoK) time-changed with an independent Levy subordinator and its inverse was studied, which they called TCPPoK-I and TCPPoK-II.
Journal ArticleDOI
Subordinated compound Poisson processes of order k
TL;DR: In this article, the compound Poisson processes of order $k$ (CPPoK) were introduced and its properties were discussed, using mixture of tempered stable subordinator and its right continuous inverse, the two subordinated CPPoK with various distributional properties were studied.
Posted Content
Time-changed Poisson processes of order $k$
TL;DR: In this paper, the authors studied the Poisson process of order k (PPoK) time-changed with an independent Levy subordinator and its inverse, which they call respectively, as TCPPoK-I and TCPPOK-II, through various distributional properties, long-range dependence and limit theorems for the PPoK and the TCP-I.
Posted Content
Subordinated Compound Poisson processes of order $k$
TL;DR: In this paper, the compound Poisson processes of order $k$ (CPPoK) were introduced and its properties were discussed, using mixture of tempered stable subordinator and its right continuous inverse, the two subordinated CPPoK with various distributional properties were studied.
Posted Content
Superposition of time-changed Poisson processes and their hitting times
TL;DR: In this paper, the authors studied some extensions of the Poisson process of order $i$ for different forms of weights and also with the time-changed versions, with Bern\v stein subordinator playing the role of time.