Survival analysis

From WikiMD's Wellnesspedia

Survival analysis is a branch of statistics that deals with analysis of time duration until one or more events happen, such as death in biological organisms and failure in mechanical systems. This topic is called reliability theory or reliability analysis in engineering, duration analysis or duration modelling in economics, and event history analysis in sociology. Survival analysis attempts to answer questions such as: what is the proportion of a population which will survive past a certain time? Of those that survive, at what rate will they die or fail? Can multiple causes of death or failure be taken into account? How do particular circumstances or characteristics increase or decrease the probability of survival?

To answer these questions, researchers commonly use a tool called a survival function, denoted S(t), which is defined as the probability that the time to event is later than some specified time t. The survival function can be estimated from either an established parametric survival distribution, a nonparametric estimator like the Kaplan-Meier estimator, or semi-parametric models like Cox proportional hazards model.

History[edit | edit source]

Survival analysis has been a topic of interest since the 18th century, with early work by Benjamin Gompertz and Thomas Bayes. The field has since expanded to include not only the study of survival rates for biological organisms, but also the analysis of failure rates in mechanical systems, such as those used in engineering.

Applications[edit | edit source]

Survival analysis has been used in a variety of fields, including:

  • Biology: Survival analysis can be used to model the lifetimes of organisms, with applications in fields such as epidemiology and gerontology.
  • Engineering: In reliability engineering, survival analysis can be used to model the time until failure of systems.
  • Economics: Duration analysis, a subfield of survival analysis, is used in economics to model the time until events such as job changes or the end of economic recessions.
  • Sociology: Event history analysis, another subfield of survival analysis, is used in sociology to model the time until events such as marriage or divorce.

See also[edit | edit source]

References[edit | edit source]


Survival analysis Resources

Find a healthcare provider anywhere in the world quickly and easily!

Wiki.png

Navigation: Wellness - Encyclopedia - Health topics - Disease Index‏‎ - Drugs - World Directory - Gray's Anatomy - Keto diet - Recipes

Search WikiMD


Ad.Tired of being Overweight? Try W8MD's physician weight loss program.
Semaglutide (Ozempic / Wegovy and Tirzepatide (Mounjaro) available.
Advertise on WikiMD

WikiMD is not a substitute for professional medical advice. See full disclaimer.

Credits:Most images are courtesy of Wikimedia commons, and templates Wikipedia, licensed under CC BY SA or similar.


Contributors: Admin, Prab R. Tumpati, MD