activity
20132023
most citedA Fractional Generalization of the Poisson Processes and Some of its Properties

1 citations · 1 across the 11 of their papers we have counts for

collaborators

11 papers

stat.ME2023

Stress-strength reliability estimation for type-1 pathway generated exponential distribution with applications to AIDS incubation time

Gladwin James V., Thomas Xavier, Nicy Sebastian

The Type-1 Pathway Generated Exponential distribution (PGE-1) is introduced. We have considered the estimate of the stress-strength parameter when the stress and strength component…

math.ST2023

The Matrix-variate Dirichlet Averages and Its Applications

Princy T, Nicy Sebastian

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 h…

math.ST2022

Maximization of Mathai's Entropy under the Constraints of Generalized Gini and Gini mean difference indices and its Applications in Insurance

Rhea Davis, Nicy Sebastian

Statistical Physics, Diffusion Entropy Analysis and Information Theory commonly use Mathai's entropy which measures the randomness of probability laws, whereas welfare economics an…

math.ST2021

Different Estimation Procedures For Topp Leone Exponential And Topp Leone q Exponential Distruibution

Nicy Sebastian, V R Rajitha

Topp Leone q Exponential Distruibution is a continuous model distribution used for modelling lifetime phenomena. In this study, we introduce different estimation methods for the un…

math.ST2021

Some Properties and Applications of Burr III-Weibull Distribution

G S Deepthy, Nicy Sebastian, Reshma Rison

In this paper, we introduce a new distribution called Burr III-Weibull(BW) distribution using the concept of competing risk. We derive moments, conditional moments, mean deviation…

math.ST2019

On Generalized q-logistic Distribution and its Characterizations

Seema S Nair, Nicy Sebastian

Several generalizations of the logistic distribution, and certain related models, are proposed by many authors for modeling various random phenomena such as those encountered in da…

math.ST2019

Topp-Leone generated q-exponential distribution and its applications

Nicy Sebastian, Rasin R. S., Silviya P. O

Topp-Leone distribution is a continuous model distribution used for modelling lifetime phenomena. The main purpose of this paper is to introduce a new framework for generating life…

math-ph2014

Generalized pathway entropy and its applications in diffusion entropy analysis and fractional calculus

Nicy Sebastian

We presented background information about various entropies in the literature. The pathway idea of Mathai (2005) is shown to be inferable from the maximization of a certain general…

math.ST2013★ 1 cited

A Fractional Generalization of the Poisson Processes and Some of its Properties

Nicy Sebastian, Rudolf Gorenflo

We have provided a fractional generalization of the Poisson renewal processes by replacing the first time derivative in the relaxation equation of the survival probability by a fra…

math-ph2013

Limiting Approach to Generalized Gamma Bessel Model via Fractional Calculus and its Applications in Various Disciplines

Nicy Sebastian

The essentials of fractional calculus according to different approaches that can be useful for our applications in the theory of probability and stochastic processes are establishe…

math-ph2013

An Overview of the Pathway Idea in Statistical and Physical Sciences

Nicy Sebastian, Dhannya P. Joseph, Seema S. Nair

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 , called the pathway para…