On Review of Multivariate Frailty Distributions

S.G. Parekh¹ , S.R. Patel²

Section:Review Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.348-351, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.348351

Online published on Dec 31, 2018

Copyright © S.G. Parekh, S.R. Patel . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
This paper deals with the construction of bivariate frailty models and discusses in general multivariate frailty models. Whenever the observations are unmeasurable and not observable then in that case we assume the probability model and generating simulated data analysis of these distribution known as frailty distribution is carried out and compared it with that of real data. The frailty models have been categorised in to three forms such as discrete frailty models, continuous univariate frailty model and multivariate frailty model. In discrete frailty model generally starting from Bernoulli frailty to multinomial frailty model. In continuous multivariate frailty models starting from bivariate frailty models were constructed such as bi-variate gamma frailty model, bi-variate compound Poisson frailty model, bi-variate log-normal frailty model. Further multivariate normal frailty model has been discussed for its properties.

Key-Words / Index Term :
Frailty distribution, bi-variate frailty models, bi-variate gamma frailty model, bi-variate compound Poisson frailty model, bi-variate log-normal frailty model, Multivariate normal frailty model

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