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Related Concept Videos

Hazard Rate01:11

Hazard Rate

The hazard rate, also known as the hazard function or failure rate, is a statistical measure used to describe the instantaneous rate at which an event occurs, given that the event has not yet happened. From a probabilistic perspective, it represents the likelihood that a subject will experience the event in a very small time interval, conditional on surviving up to the beginning of that interval. In terms of frequency, the hazard rate can be viewed as the ratio of the number of events to the...
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Accelerated Curing of Concrete

Accelerating concrete curing is achieved by applying heat and additional moisture. This process accelerates the hydration of the cement, resulting in an earlier strength gain in the concrete. Steam curing is a method wherein the concrete products are either transported through a chamber on a conveyor belt or encased in plastic, allowing steam at atmospheric pressure to circulate freely around them. This process begins with a phase of moist curing that typically lasts between 3 to 5 hours, after...
Hazard Ratio01:12

Hazard Ratio

The hazard ratio (HR) is a widely used measure in clinical trials to compare the risk of events, such as death or disease recurrence, between two groups over time. It reflects the ratio of hazard rates—the instantaneous risk of the event occurring—between a treatment group and a control group. This measure provides valuable insights into the relative effectiveness of a treatment by assessing how the risk of an event differs between the two groups.
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Accelerators

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Catalysis02:50

Catalysis

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Related Experiment Video

Updated: Jun 20, 2026

Predicting Catalyst Extrudate Breakage Based on the Modulus of Rupture
09:53

Predicting Catalyst Extrudate Breakage Based on the Modulus of Rupture

Published on: May 13, 2018

Accelerated hazards mixture cure model.

Jiajia Zhang1, Yingwei Peng

  • 1Department of Epidemiology and Biostatistics, University of South Carolina, Columbia, SC 29208, USA.

Lifetime Data Analysis
|August 22, 2009
PubMed
Summary
This summary is machine-generated.

This study introduces a novel mixture cure model for survival data, enhancing analysis of cancer treatments by modeling gradual covariate effects on failure times. The new model improves upon existing methods for survival data with a cure fraction.

Related Experiment Videos

Last Updated: Jun 20, 2026

Predicting Catalyst Extrudate Breakage Based on the Modulus of Rupture
09:53

Predicting Catalyst Extrudate Breakage Based on the Modulus of Rupture

Published on: May 13, 2018

Area of Science:

  • Biostatistics
  • Survival Analysis
  • Medical Statistics

Background:

  • Survival data analysis often involves a 'cure fraction,' representing individuals unlikely to experience an event.
  • Existing mixture cure models may not adequately capture time-dependent covariate effects on failure times.

Purpose of the Study:

  • To propose a novel mixture cure model for survival data.
  • To allow covariate effects on failure time to increase gradually over time, particularly relevant for certain cancer treatments.
  • To provide a more flexible modeling approach for survival data with a cure fraction.

Main Methods:

  • Developed a new mixture cure model with separate covariate effect modeling for cure proportion and failure time distribution.
  • Employed a rank-based semiparametric estimation method for parameter estimation.
  • Utilized maximum likelihood estimation for model parameters.

Main Results:

  • The proposed model effectively handles covariate effects that increase over time.
  • Simulation studies demonstrated the model's performance compared to existing methods.
  • Application to a breast cancer dataset showcased its practical utility.

Conclusions:

  • The novel mixture cure model offers a valuable advancement in survival data analysis.
  • It provides a more accurate and flexible approach for situations with time-dependent covariate effects.
  • This model enhances the understanding and treatment analysis of diseases with a cure fraction.