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Modelling Times Between Events with a Cured Fraction Using a First Hitting Time Regression Model with Individual Random Effects

, 2015
The empirical survival function of time-to-event data very often appears not to tend to zero. Thus there are long-term survivors, or a “cured fraction” of units which will apparently never experience the event of interest. This feature of the data can be incorporated into lifetime models in various ways, for example, by using mixture distributions to ...
Sonia Malefaki, Polychronis Εconomou, C. Caroni   +2 more
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First Hitting Time Regression Models

, 2017
Chrysseis Caroni
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Review and implementation of cure models based on first hitting times for Wiener processes

Lifetime Data Analysis, 2009
The development of models and methods for cure rate estimation has recently burgeoned into an important subfield of survival analysis. Much of the literature focuses on the standard mixture model. Recently, process-based models have been suggested. We focus on several models based on first passage times for Wiener processes.
Balka, Jeremy, Desmond, Anthony F., McNicholas, Paul D.   +2 more
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Parameters of stochastic diffusion processes estimated from observations of first-hitting times: Application to the leaky integrate-and-fire neuronal model

Physical Review E, 2007
A theoretical model has to stand the test against the real world to be of any practical use. The first step is to identify parameters in the model estimated from experimental data. In many applications where renewal point data are available, models of first-hitting times of underlying diffusion processes arise.
Ditlevsen, Susanne, Lansky, Petr
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Reliability index and Asian barrier option pricing formulas of the uncertain fractional first-hitting time model with Caputo type

Chaos, Solitons and Fractals, 2021
Ting Jin, Hui Ding
exaly  

A boosting first-hitting-time model for survival analysis in high-dimensional settings

Lifetime Data Analysis, 2022
Riccardo De Bin
exaly  

RELIABILITY INDEX AND OPTION PRICING FORMULAS OF THE FIRST-HITTING TIME MODEL BASED ON THE UNCERTAIN FRACTIONAL-ORDER DIFFERENTIAL EQUATION WITH CAPUTO TYPE

Fractals, 2021
Ting Jin, Xiangfeng Yang, Hongxuan Xia
exaly  

Optimal control problem of the uncertain second‐order circuit based on first hitting criteria

Mathematical Methods in the Applied Sciences, 2021
Ting Jin, Hongxuan Xia
exaly  

On the first hitting time density for a reducible diffusion process

Quantitative Finance, 2020
Alexander Lipton
exaly  

Extensions to Inverse Gaussian First Hitting Time Regression Models

, 2017

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