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Linear estimation models by polynomial hazard functions

S.G. Parekh1 , D.K. Ghosh2 , S.R. Patel3

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.262-266, Apr-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.262266


Online published on Apr 30, 2019


Copyright © S.G. Parekh, D.K. Ghosh, 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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IEEE Style Citation: S.G. Parekh, D.K. Ghosh, S.R. Patel, “Linear estimation models by polynomial hazard functions,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.262-266, 2019.

MLA Style Citation: S.G. Parekh, D.K. Ghosh, S.R. Patel "Linear estimation models by polynomial hazard functions." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.2 (2019): 262-266.

APA Style Citation: S.G. Parekh, D.K. Ghosh, S.R. Patel, (2019). Linear estimation models by polynomial hazard functions. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(2), 262-266.

BibTex Style Citation:
@article{Parekh_2019,
author = {S.G. Parekh, D.K. Ghosh, S.R. Patel},
title = {Linear estimation models by polynomial hazard functions},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {4 2019},
volume = {6},
Issue = {2},
month = {4},
year = {2019},
issn = {2347-2693},
pages = {262-266},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1243},
doi = {https://doi.org/10.26438/ijcse/v6i2.262266}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i2.262266}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1243
TI - Linear estimation models by polynomial hazard functions
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - S.G. Parekh, D.K. Ghosh, S.R. Patel
PY - 2019
DA - 2019/04/30
PB - IJCSE, Indore, INDIA
SP - 262-266
IS - 2
VL - 6
SN - 2347-2693
ER -

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Abstract :
The paper deals with the estimation of survival function with the use of polynomial hazard function as frailty and general baseline distribution. Considering Cox PH regression model with some frailty distribution the estimation of regressors and frailty parameter is done. Particular cases for parabolic hazard function have been considered with different base line distributions. Further with linear hypothesis of regressors and frailty parameter the linear estimation is carried out by Gauss-Marcoff model. Theory has been supported by suitable example illustrated by taking kidney infection data.

Key-Words / Index Term :
Linear Models; Polynomial Hazard; Frailty variable; Gauss-Markov model; kidney infection

References :
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[3] Clayton, D, "A model for association in bivariate life tables and its applications to epidemiological studies of familial tendency in chronic disease incidence," Biometrica ,Vol.65, pp.141-151, 1978.
[4] Ibrahim, J. G., Chen, M., and Sinha, D., "Bayesian Survival Analysis", New York: Springer, 2001.
[5] Sahu, K.S., Dey, D.K., Aslanidou, H., Sinha, D., "A Weibull regression model with Gamma frailties for multivariate survival data", Lifetime Data Analysis, Vol.3, pp.123 – 137, 1997.
[6] Yu, B.,"Estimation of shared gamma frailty models by a modified EM algorithm" Computational Statistics and Data Analysis , Vol. 50, pp.463-474, 2006.
[7] Santos dos, C. A. and Achcar, J. A. "A Bayesian analysis for multivariate survival data in the presence of covariates" Journal of Statistical Theory and Applications, Vol. 9, pp.233-253, 2010.
[8] Hangal, D., "Modeling survival data using frailty models", CRC Press, 2011.
[9] Parekh S.G. and Patel S.R., "Some Univarite Continuous Frailty Models", International Journal of Computational and Theoretical Statistics, Vol.5, Issue.1, pp.29-37, 2018a.
[10] Parekh S.G. and Patel S.R., "On estimation of Univariate Bayesian frailty models," International Journal of Statistics and Applied Mathematics, Vol.3, Issue.2, pp.199-205, 2018b
[11] McGilchrist, C.A., Aisbett, C.W., "Regression with frailty in survival analysis" Biometrics, Vol.47, pp.461 - 466, 1991.

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