General Proportional Reversed Hazard Rate Frailty Model and It’ s Applications in the Analysis of Lung Cancer Data

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Hooti f.; AHMADI J.

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Journal: JOURNAL OF STATISTICAL SCIENCES Year:2020 | Volume:13 | Issue:2 Page(s): 0-0

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Title

General Proportional Reversed Hazard Rate Frailty Model and It’ s Applications in the Analysis of Lung Cancer Data

Author(s)

Hooti f. | AHMADI J. | Issue Writer Certificate

Keywords

Frailty ModelsQ2

Reversed Hazard Rate ModelQ2

Left CensoredQ1

Stochastic OrdersQ1

Likelihood FunctionQ2

Abstract

In survival studies, Frailty Models are used to explain the unobserved heterogeneity hazards. In most cases, they are usually considered as the product of the function of the frailty random variable and baseline hazard rate. Which is useful for right censored data. In this paper, the frailty model is explained as the product of the frailty random variable and baseline reversed hazard rate, which can be used for Left Censored data. The general reversed hazard rate frailty model is introduced and the distributional properties of the proposed model and lifetime random variables are studied. Some dependency properties between lifetime random variable and frailty random variable are investigated. It is shown that some stochastic orderings preserved from frailty random variables to lifetime variables. Some theorems are used to obtain numerical results. The application of the proposed model is discussed in the analysis of Left Censored data. The results are used to model lung cancer data.

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APA: Copy

Hooti, f., & AHMADI, J.. (2020). General Proportional Reversed Hazard Rate Frailty Model and It’ s Applications in the Analysis of Lung Cancer Data. JOURNAL OF STATISTICAL SCIENCES, 13(2 ), 0-0. SID. https://sid.ir/paper/370280/en

Vancouver: Copy

Hooti f., AHMADI J.. General Proportional Reversed Hazard Rate Frailty Model and It’ s Applications in the Analysis of Lung Cancer Data. JOURNAL OF STATISTICAL SCIENCES[Internet]. 2020;13(2 ):0-0. Available from: https://sid.ir/paper/370280/en

IEEE: Copy

f. Hooti, and J. AHMADI, “General Proportional Reversed Hazard Rate Frailty Model and It’ s Applications in the Analysis of Lung Cancer Data,” JOURNAL OF STATISTICAL SCIENCES, vol. 13, no. 2 , pp. 0–0, 2020, [Online]. Available: https://sid.ir/paper/370280/en

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