P
Palaniappan Vellaisamy
Researcher at Indian Institute of Technology Bombay
Publications - 128
Citations - 1896
Palaniappan Vellaisamy is an academic researcher from Indian Institute of Technology Bombay. The author has contributed to research in topics: Poisson distribution & Negative binomial distribution. The author has an hindex of 19, co-authored 126 publications receiving 1683 citations. Previous affiliations of Palaniappan Vellaisamy include Indian Institutes of Technology & Michigan State University.
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The Fractional Poisson Process and the Inverse Stable Subordinator
TL;DR: In this article, it was shown that a traditional Poisson process, with the time variable replaced by an independent inverse stable subordinator, is also a fractional poisson process with Mittag-Leffler waiting times, which unifies the two main approaches in stochastic theory of time-fractional diffusion equations.
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Fractional Cauchy problems on bounded domains
TL;DR: In this paper, Meerschaert et al. extended the approach of Meershaert and Scheffler (23) to fractional Cauchy problems on bounded domains and constructed stochastic solutions via an inverse stable subordi- nator whose scaling index corresponds to the order of the fractional time derivative.
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Distributed-order fractional diffusions on bounded domains
TL;DR: In this article, strong solutions and stochastic analogues for distributed-order time-fractional diffusion equations on bounded domains, with Dirichlet boundary conditions, were provided.
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Sequelae of Prospective versus Retrospective Reports of Adverse Childhood Experiences
TL;DR: Compared on 10 adverse childhood experiences and psychological adjustment at age 42 yr, no significant differences in risk effects were detected and the present data did not show any bias in the retrospective assessment.
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Inverse Tempered Stable Subordinators
TL;DR: In this paper, the first-exit time of a tempered β-stable subordinator, also called inverse tempered stable (ITS) subordinator was investigated and the limiting form of the ITS density and its k-th order derivatives were derived as the space variable x → 0 +.