810 research outputs found
Stochastic processes via the pathway model
After collecting data from observations or experiments, the next step is to
build an appropriate mathematical or stochastic model to describe the data so
that further studies can be done with the help of the models. In this article,
the input-output type mechanism is considered first, where reaction, diffusion,
reaction-diffusion, and production-destruction type physical situations can fit
in. Then techniques are described to produce thicker or thinner tails (power
law behavior) in stochastic models. Then the pathway idea is described where
one can switch to different functional forms of the probability density
function) through a parameter called the pathway parameter.Comment: 15 pages, 7 figures, LaTe
Scientific Endeavors of A.M. Mathai: An Appraisal on the Occasion of his Eightieth Birthday, April 2015
A.M. Mathai is Emeritus Professor of Mathematics and Statistics at McGill
University, Canada, and Director of the Centre for Mathematical and Statistical
Sciences, India. He has published over 300 research papers and more than 25
books on topics in mathematics, statistics, physics, astrophysics, chemistry,
and biology. He is a Fellow of the Institute of Mathematical Statistics,
National Academy of Sciences of India, President of the Mathematical Society of
India, and a Member of the International Statistical Institute. He is the
founder of the Canadian Journal of Statistics and the Statistical Society of
Canada. He is instrumental in the implementation of the United Nations Basic
Space Science Initiative. The paper is an attempt to capture the broad spectrum
of scientific endeavors of Professor A.M. Mathai at the occasion of his
anniversary.Comment: 21 pages, LaTe
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