Estimation Methods of a Joint Model Based on Proportional Intensity Function and Proportional Hazard Function

Recurrent events data refers to the observation of individuals, which contains the recurrent event time of interest. This paper mainly discusses a joint model when the end time is a multiplicable hazard function and the recurrent event process is a multiplicable intensity function. Based on the likelihood method, Delta method, U-statistic method and the idea of general estimation equation, the estimation of unknown parameters and unknown functions in the model is provided. It provides a new method of parameter estimation for the statistic analysis of recurrent events data.

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A Composite Model via Proportional Intensity Function and Additive Hazard Function

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.631-632.3 ◽

2014 ◽

Vol 631-632 ◽

pp. 3-6

Author(s):

Huan Bin Liu ◽

Tong Yin ◽

Cheng Wang

Keyword(s):

Hazard Function ◽

Recurrent Events ◽

Intensity Function ◽

Composite Model ◽

Delta Method ◽

Recurrent Event ◽

Likelihood Method ◽

Unknown Parameters ◽

Proportional Intensity ◽

End Times

This paper mainly discusses a composite model which the end time is an additive hazard function and the recurrent event process is a proportional intensity function, the covariate is time-independent, and censoring is dependent on recurrent events process and end times. Based on the likelihood method, Delta method, U-statistic method and the idea of general estimation equation, the estimation of unknown parameters and unknown functions in this composite model is proposed.

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Study on the Asymptotic Properties of a Composite Model in Statistical Analysis of Recurrent Event

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.631-632.90 ◽

2014 ◽

Vol 631-632 ◽

pp. 90-93

Author(s):

Huan Bin Liu ◽

Tong Yin ◽

Cheng Wang

Keyword(s):

Statistical Analysis ◽

Hazard Function ◽

Recurrent Events ◽

Asymptotic Properties ◽

Composite Model ◽

Recurrent Event ◽

Regularity Conditions ◽

Event Time ◽

Recurrent Events Data ◽

Events Data

Recurrent events data refers to the observation of individuals, which contains the recurrent event time of interest. In this paper, we focus on the statistical analysis of recurrent event, and present a composite model based on the proportional intensity function and additive hazard function, and then prove the consistency and asymptotic properties of the estimation under certain regularity conditions.

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Additive-Accelerated Mean Regression Model for Multiple Type Recurrent Events

Advanced Engineering Forum ◽

10.4028/www.scientific.net/aef.6-7.93 ◽

2012 ◽

Vol 6-7 ◽

pp. 93-96

Author(s):

Huan Bin Liu

Keyword(s):

Regression Model ◽

Recurrent Events ◽

Estimating Equation ◽

Estimation Methods ◽

Research Fields ◽

Multiple Type Recurrent Events ◽

Recurrent Events Data ◽

Events Data ◽

Clinical Experiment ◽

Multiple Type

Recurrent events data is often observed in applied research fields like biostatistics, clinical experiment, and so on. In this paper, an additive-accelerated mean regression model is established for multiple type recurrent events data, and the estimation methods of unknown parameter and non-parameter function based on the idea of estimating equation are given.

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