Zobrazeno 1 - 10
of 208
pro vyhledávání: '"Arak M. Mathai"'
Autor:
Arak M. Mathai, Hans J. Haubold
Publikováno v:
Axioms, Vol 13, Iss 8, p 546 (2024)
In this paper, the pathway model for the real scalar variable case is re-explored and its connections to fractional integrals, solutions of fractional differential equations, Tsallis statistics and superstatistics in statistical mechanics, the reacti
Externí odkaz:
https://doaj.org/article/1ebe956cc47e4eef9ecbdf6326900af6
Autor:
Arak M. Mathai
Publikováno v:
Axioms, Vol 13, Iss 7, p 422 (2024)
This paper deals with the extension of principal component analysis, canonical correlation analysis, the Cramer–Rao inequality, and a few other statistical concepts in the real domain to the corresponding complex domain. Optimizations of Hermitian
Externí odkaz:
https://doaj.org/article/2c0a4d5ac4d0411482c8ce341af82a8a
Autor:
Arak M. Mathai
Publikováno v:
Axioms, Vol 12, Iss 10, p 936 (2023)
Matrix-variate Gaussian-type or Wishart-type distributions in the real domain are widely used in the literature. When the exponential trace has an arbitrary power and when the factors involving a determinant and a trace enter into the model or a matr
Externí odkaz:
https://doaj.org/article/a30120d8661c41a882fc5f3922e3fa7a
Autor:
Arak M. Mathai
Publikováno v:
Mathematics, Vol 11, Iss 19, p 4076 (2023)
In certain problems in model building and Bayesian analysis, the results end up in forms connected with generalized zeta functions. This necessitates the introduction of an extended form of the generalized zeta function. Such an extended form of the
Externí odkaz:
https://doaj.org/article/6d03d86944474cdeb240a4628c02ed88
Publikováno v:
Entropy, Vol 23, Iss 6, p 754 (2021)
In physics, communication theory, engineering, statistics, and other areas, one of the methods of deriving distributions is the optimization of an appropriate measure of entropy under relevant constraints. In this paper, it is shown that by optimizin
Externí odkaz:
https://doaj.org/article/4f0be6510d5f486994f18adfd801da0a
Autor:
Arak M. Mathai, Hans J. Haubold
Publikováno v:
Mathematics, Vol 8, Iss 4, p 526 (2020)
A real scalar variable integral is known in the literature by different names in different disciplines. It is basically a Bessel integral called specifically Krätzel integral. An integral transform with this Krätzel function as kernel is known as K
Externí odkaz:
https://doaj.org/article/9bff2c7aa14e4671a8773ca407798d1b
Autor:
Hans J. Haubold, Arak M. Mathai
Publikováno v:
Axioms, Vol 4, Iss 3, Pp 213-234 (2015)
A.M. Mathai is Emeritus Professor of Mathematics and Statistics at McGill University, Canada. He is currently the Director of the Centre for Mathematical and Statistical Sciences India. His research contributions cover a wide spectrum of topics in ma
Externí odkaz:
https://doaj.org/article/77290a4b4538498bb294762814d93fc9
Publikováno v:
Axioms, Vol 4, Iss 2, Pp 120-133 (2015)
This article is in continuation of the authors research attempts to derive computational solutions of an unified reaction-diffusion equation of distributed order associated with Caputo derivatives as the time-derivative and Riesz-Feller derivative as
Externí odkaz:
https://doaj.org/article/2ce4edf21c37434198da745adb87447f
Autor:
Arak M. Mathai, Hans J. Haubold
Publikováno v:
Entropy, Vol 17, Iss 5, Pp 2642-2654 (2015)
After collecting data from observations or experiments, the next step is to analyze the data to build an appropriate mathematical or stochastic model to describe the data so that further studies can be done with the help of the model. In this article
Externí odkaz:
https://doaj.org/article/2ac62a508aca4e75a54aa89462cef921
Publikováno v:
Axioms, Vol 3, Iss 3, Pp 320-334 (2014)
This paper deals with the investigation of the computational solutions of a unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riem
Externí odkaz:
https://doaj.org/article/6f36ea843c3b4a749b9f98c6c8591ed3