Template:MedianLifeFunction: Difference between revisions
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==''The Median Life Function''== | |||
Median life,<math>\breve{T}</math> is the value of the random variable that has exactly one-half of the area under the <math>pdf</math> to its left and one-half to its right. The median is obtained from: | Median life,<math>\breve{T}</math> is the value of the random variable that has exactly one-half of the area under the <math>pdf</math> to its left and one-half to its right. The median is obtained from: | ||
Revision as of 21:06, 8 February 2012
The Median Life Function
Median life,[math]\displaystyle{ \breve{T} }[/math] is the value of the random variable that has exactly one-half of the area under the [math]\displaystyle{ pdf }[/math] to its left and one-half to its right. The median is obtained from:
- [math]\displaystyle{ \int_{-\infty}^{\breve{T}}f(t)dt=0.5 }[/math]
For sample data, e.g. 12, 20, 21, the median is the midpoint value, or 20 in this case.