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Built-in
Mathematica
Symbol
Discrete Distributions
Continuous Distributions
Tutorials »
|
CDF
Quantile
See Also »
|
Descriptive Statistics
New in 6.0: Statistics
More About »
InverseCDF
InverseCDF
[
dist
,
q
]
gives the inverse of the cumulative distribution function for the symbolic distribution
dist
as a function of the variable
q
.
MORE INFORMATION
The inverse CDF at
q
is also referred to as the
q
quantile of a distribution.
For a continuous distribution
dist
the inverse CDF at
q
is the value
x
such that
CDF
[
dist
,
x
]=
q
.
For a discrete distribution
dist
the inverse CDF at
q
is the smallest integer
x
such that
CDF
[
dist
,
x
]≥
q
.
The value
q
can be symbolic or any number between 0 and 1.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Inverse CDFs for a normal distribution and a Bernoulli distribution:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(4)
Applications
(3)
Properties & Relations
(3)
Possible Issues
(1)
SEE ALSO
CDF
Quantile
TUTORIALS
Discrete Distributions
Continuous Distributions
MORE ABOUT
Descriptive Statistics
New in 6.0: Statistics
RELATED LINKS
Demonstrations with InverseCDF
(
Wolfram Demonstrations Project
)
New in 6
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