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 ...
Unnipillai, Nayana; Anakha, K K; Aslam, Muhammad; Chacko, V. M.; Albassam, Mohammed(ResearchGate, 2022-02-14)
There is a need to comprehend real-world problems that are marked by ambiguity and inflexibility. By taking into account
the indeterminacies and inconsistencies, DUS transformation has been taken to Neutrosophic Weibull ...
Sankaran, P. G; Ashlin Mathew P. M; Sreedevi, E. P(Statistics and Applications, 2024-11)
Panel count data refer to the data arising from studies concerning recurrent events
where study subjects are observed only at distinct time points. If these study subjects
are exposed to recurrent events of several types, ...
Chacko, V. M.; Sania, Ann; Amrutha, M.(Statistics and Applications, 2023-12-14)
In order to identify the vulnerable components whose joint effect would have changed
system performance and ensure the required reliability of various multistate systems, joint
importance measures of relevant components ...
Amrutha, M; Chacko, V. M(Statistics and Applications, 2024-03-30)
Reliability analysis, including stress-strength analysis, for given data is more widely
used in the reliability literature. A large number of new distributions are available, but many
of them are not showing a good fit ...
Rasin, R S; Sunoj, S M; Poduval, Rakesh(Austrian Journal of Statistics, 2023-09-11)
The notion of ageing plays an important role in reliability and survival analysis as it is an inherent property of all systems and products. Jiang, Ji, and Xiao (2003) proposed a new quantitative measure, known as ageing ...
As a generalization of the Log Uniform distribution, Transmuted Log - Uniform distribution is
introduced and its properties are studied.We obtained graphical representations of its pdf, cdf, hazard
rate function and ...
In this paper, a generalization of the Exponentiated Kumaraswamy distribution referred to as the
Transmuted Exponentiated Kumaraswamy distribution is proposed. The new transmuted distribution
is developed using the ...
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 ...
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 ...
In this article, we propose a new class of distributions defined by a quantile function, which is the sum
of the quantile functions of the Power and Weibull distributions. Various distributional properties and
reliability ...
There are various circumstances where it is important to simultaneously monitor or control two or
more related quality characteristics. Independently tracking these quality characteristics might be quite
deceptive. ...
Lukose, Ankitha; Chacko, V M(Enhance your English Vocabulary, 2023-12)
This paper deals with the estimation of stress strength reliability parameter R, which is the probability
of Y less than X when X and Y are two independent distribution with different scale parameter and same
shape ...
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. ...
Sajesh, T.A; Raveendran, Lakshmi(Reliability: Theory & Applications,, 2023-08)
Regression Analysis is statistical technique to model data. But the presence of outliers and influential
points affect data modelling and its interpretation. Robust regression analysis is an alternative choice
to this. ...
Thomas, Beenu; Chacko, V. M.(ResearchGate, 2023-03)
A strong need for an appropriate lifetime model arises in reliability analysis. A large number of lifetime
distributions are available in the literature. To analyze reliability data, a more suitable lifetime distribution
is ...
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, ...
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 ...
Varghese, Akhila K; Chacko, V. M.(Reliability: Theory & Applications, 2022-09)
In this paper, we consider the estimation of the stress–strength parameter R = P[Y < X], when X
and Y are following one-parameter Akash distributions with parameter �! and �" respectively. It is
assumed that they are ...
The use of importance and joint importance measures to identify the weak areas of a system and
signify the roles of components in either causing or contributing to proper functioning of the
system, is explained by several ...