CharacteristicFunction

CharacteristicFunction[dist,t]

gives the characteristic function for the symbolic distribution dist as a function of the variable t.

CharacteristicFunction[dist,{t1,t2,}]

gives the characteristic function for the multivariate symbolic distribution dist as a function of the variables t1, t2, .

Details

Examples

open allclose all

Basic Examples  (4)

Characteristic function (cf) for the normal distribution:

In[1]:=
Click for copyable input
Out[1]=

Characteristic function for the binomial distribution:

In[1]:=
Click for copyable input
Out[1]=

Characteristic function for the bivariate normal distribution:

In[1]:=
Click for copyable input
Out[1]=

Characteristic function for the multinomial distribution:

In[1]:=
Click for copyable input
Out[1]=

Scope  (8)

Applications  (7)

Properties & Relations  (5)

Possible Issues  (1)

See Also

Expectation  FourierTransform  FourierSequenceTransform  MomentGeneratingFunction  CumulantGeneratingFunction  Moment  PDF

Tutorials

Introduced in 2007
(6.0)
| Updated in 2010
(8.0)