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Survival rate is a part of survival analysis.It is the proportion of people in a study or treatment group still alive at a given period of time after diagnosis. It is a method of describing prognosis in certain disease conditions, and can be used for the assessment of standards of therapy.
The hazard function is defined as the event rate at time , conditional on survival at time . Synonyms for hazard function in different fields include hazard rate, force of mortality ( demography and actuarial science , denoted by μ {\displaystyle \mu } ), force of failure, or failure rate ( engineering , denoted λ {\displaystyle \lambda } ).
Five-year survival rates can be used to compare the effectiveness of treatments. Use of five-year survival statistics is more useful in aggressive diseases that have a shorter life expectancy following diagnosis, such as lung cancer, and less useful in cases with a long life expectancy, such as prostate cancer.
Relative survival of a disease, in survival analysis, is calculated by dividing the overall survival after diagnosis by the survival as observed in a similar population not diagnosed with that disease. A similar population is composed of individuals with at least age and gender similar to those diagnosed with the disease.
This is particularly the case in non-life insurance (e.g. the pricing of motor insurance can allow for a large number of risk factors, which requires a correspondingly complex table of expected claim rates). However the expression "life table" normally refers to human survival rates and is not relevant to non-life insurance.
Cancer survival rates vary by the type of cancer, stage at diagnosis, treatment given and many other factors, including country. In general survival rates are improving, although more so for some cancers than others. Survival rate can be measured in several ways, median life expectancy having advantages over others in terms of meaning for ...
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If the assumption is made that, on average, people live a half year on the year of their death, the complete life expectancy at age would be + /, which is denoted by e̊ x, and is the intuitive definition of life expectancy. By definition, life expectancy is an arithmetic mean. It can also be calculated by integrating the survival curve from 0 ...