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Now showing items 1-9 of 9

Fractional di erentiation of the product of Bessel functions of the rst kind

Sebastian, Nicy; Gorenflo, Rudolf (De Gruyter (O), 2015-08-28)

Two differential transforms involving the Gauss hypergeometric function in the kernels are consid-ered. They generalize the classical Riemann–Liouville and Erdélyi–Kober fractional differential operators.Formulas of ...
An Overview of the Pathway Idea and Its Applications in Statistical and Physical Sciences

Sebastian, Nicy; Nair, Seema S.; Joseph, Dhannya P. (Axioms, 2015-12-19)

Pathway idea is a switching mechanism by which one can go from one functional form to another, and to yet another. It is shown that through a parameter α, called the pathway parameter, one can connect generalized type-1 ...
Entropy Optimization, Maxwell–Boltzmann, and Rayleigh Distributions

Sebastian, Nicy; Mathai, Arak; Haubold, Hans J (MDPI, 2021-06-15)

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, ...
A New Life Time Distribution: Burr III Modified Weibull Distribution And Its Application in Burn in Process

Sebastian, Nicy; Deepthy, G S (ResearchGate, 2022-03)

In burn-in analysis, models with a bathtub-shaped hazard rate and a bimodal density function are inevitable.This work focusses on a new five parameter distribution called Burr III Modified Weibull distribution which can ...
Type 1 Topp-Leone q−Exponential Distribution and its Applications

Sebastian, Nicy; Joseph, Jeena; Princy, T. (ResearchGate, 2022-09)

The main purpose of this paper is to discuss a new lifetime distribution, called the type 1 Topp-Leone generated q-exponential distribution(Type 1 TLqE). Using the quantile approach various distributional properties, ...
Topp-Leone Generated q-Weibull Distribution and its Applications

Sebastian, Nicy; Joseph, Jeena; Santhosh, Sona (Statistics and Applications, 2023-04-15)

In this paper, we introduce a new generated distribution called the Topp-Leone Generated q-Weibull(TLqW) Distribution. The described distribution’s many distributional attributes and reliability traits are covered. Some ...
Applications of Burr III-Weibull quantile function in reliability analysis

Deepthy, G. S.; Sebastian, Nicy; Chandra, N. (STATISTICAL THEORY AND RELATED FIELDS, 2023-05-09)

This paper introduces a new family of distributions defined in terms of quantile function. The quantile function introduced here is the sum of quantile functions of life time distributions called Burr III and Weibull. ...
On Complex Matrix-Variate Dirichlet Averages and Its Applications in Various Sub-Domains

Thankamani, Princy; Sebastian, Nicy; Haubold, Hans J. (MDPI, 2023-11-10)

This paper is about Dirichlet averages in the matrix-variate case or averages of functions over the Dirichlet measure in the complex domain. The classical power mean contains the harmonic mean, arithmetic mean and geometric ...
TYPE-1 BETA DISTRIBUTION AND ITS CONNECTIONS TO LIKELIHOOD RATIO TEST

Sebastian, Nicy; Princy, T. (ResearchGate, 2024-12)

In many cases involving hypothesis testing for parameters in multivariate Gaussian populations and certain other populations, likelihood ratio criteria, or their one-to-one functions, can be expressed in terms of the ...

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