The quantile function function of T: is defined using the inverse cdt of Y as a Q(T) = F-¹(T) = inf{y: F(y) > T} Since, for a given F, IT = Q(T), Q(T) and qr are often used interchangeably

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please teach this I do not no notations

The quantile function Q(T) is defined using the inverse cdf of Y as a
function of T:
Q(T) = F-¹(T) = inf{y: F(y) > T}
-Since, for a given F,
9t = Q(T),
Q(T) and q are often used interchangeably
- Some special cases:
91/2 is the median
► 91/4 is the lower quartile
93/4 is the upper quartile
Transcribed Image Text:The quantile function Q(T) is defined using the inverse cdf of Y as a function of T: Q(T) = F-¹(T) = inf{y: F(y) > T} -Since, for a given F, 9t = Q(T), Q(T) and q are often used interchangeably - Some special cases: 91/2 is the median ► 91/4 is the lower quartile 93/4 is the upper quartile
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