# A Novel Bivariate Generalized Weibull Distribution with Properties and Applications

@inproceedings{Pathak2021ANB, title={A Novel Bivariate Generalized Weibull Distribution with Properties and Applications}, author={Ashok Kumar Pathak and Mohd. Arshad and Qazi J. Azhad and Mukti Khetan and Arvind Pandey}, year={2021} }

Univariate Weibull distribution is a well known lifetime distribution and has been widely used in reliability and survival analysis. In this paper, we introduce a new family of bivariate generalized Weibull (BGW) distributions, whose univariate marginals are exponentiated Weibull distribution. Different statistical quantiles like marginals, conditional distribution, conditional expectation, product moments, correlation and a measure component reliability are derived. Various measures of… Expand

#### References

SHOWING 1-10 OF 45 REFERENCES

A new extension of Weibull distribution: Properties and different methods of estimation

- Mathematics, Computer Science
- J. Comput. Appl. Math.
- 2018

A new generalization of the Weibull distribution is introduced, called Alpha logarithmic transformed WeIBull distribution that provides better fits than some of its known generalizations and is quite flexible for analyzing non-negative real life data. Expand

On bivariate Weibull-Geometric distribution

- Computer Science, Mathematics
- J. Multivar. Anal.
- 2014

The bivariate model with a special emphasis on the Weibull distribution is considered, and a new distribution is called as the bivariate WeIBull-Geometric distribution, which has five parameters, and the maximum likelihood estimators cannot be obtained in closed form. Expand

A New Extension of Chen Distribution with Applications to Lifetime Data

- Mathematics
- Communications in Mathematics and Statistics
- 2019

In this paper, we introduce a new lifetime distribution with increasing, decreasing and bathtub-shaped hazard rate function which is constructed by compounding of the Weibull and Chen distributions… Expand

A bivariate conditional Weibull distribution with application

- Mathematics
- 2019

A three-parameter bivariate distribution is derived from the marginal and conditional Weibull distributions. Its joint properties are derived and method of estimation of its parameters discussed. It… Expand

A flexible Weibull extension

- Mathematics, Computer Science
- Reliab. Eng. Syst. Saf.
- 2007

A new two-parameter ageing distribution which is a generalization of the Weibull and able to model various ageing classes of life distributions including IFR, IFRA and modified bathtub (MBT), which provides an alternative to many existing life distributions. Expand

A bivariate count model with discrete Weibull margins

- Computer Science, Mathematics
- Math. Comput. Simul.
- 2019

The applications show that the proposed bivariate discrete Weibull distribution can model correlated counts even better than existing and well-established joint distributions. Expand

Weighted Weibull distribution: Bivariate and multivariate cases

- Mathematics
- 2018

Gupta and Kundu (“A new class of weighted exponential distribution”, Statistics, 43, 621 643, 2009) introduced a new class of weighted exponential distribution and established its several properties.… Expand

A general class of flexible Weibull distributions

- Mathematics
- 2018

ABSTRACT We consider a linear combination of two logarithms of cumulative hazard functions and propose a general class of flexible Weibull distribution functions which includes some well-known… Expand

Inference of accelerated dependent competing risks model for Marshall-Olkin bivariate Weibull distribution with nonconstant parameters

- Computer Science, Mathematics
- J. Comput. Appl. Math.
- 2020

The statistical inference of constant-stress accelerated dependent competing risks model under Type-II hybrid censoring schemes, modeled by a Marshall–Olkin bivariate Weibull distribution, is discussed. Expand

Some new constructions of bivariate Weibull models

- Mathematics
- 1990

In this article, several approaches are advanced towards the construction of bivariate Weibull models from the consideration of failure behaviors of the components of a two-component system. First, a… Expand