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Statistical Distributions - Student t Distribution - Example

[Home] [Up] [Overview] [Beta] [Inverted Beta] [Cauchy 1] [Cauchy 2 Param.] [Chi] [Chi Sq. 1 Param.] [Chi Sq. 2 Param.] [Erlang] [Exponential] [Fisher F] [Gamma] [Inverted Gamma] [Gumbel] [Laplace] [Logistic] [Lognormal] [Normal] [Pareto] [Power] [Rayleigh] [r-Distribution] [Rect. (Uniform)] [Triangular] [Weibull] [Student t]

[Notation] [Range] [Parameters] [Density Function] [Moments Centered] [Expected Value] [Variance] [Median] [Mode] [Skewness] [Kurtosis] [Random Numbers] [Properties 1] [Relationships 1] [Relationships 2] [Relationships 3] [Relationships 4] [Relationships 5] [Relationships 6] [Relationships 7]

Graphical Representation

Statistical Distributions - Student t Distribution - Example

Parameters :

Output

+------------------------+
¦ STUDENT T DISTRIBUTION ¦
+------------------------+

MOMENTS - UNCENTERED                    STATISTICS

     1st :  0.00000000e+00              Expected Value     :       .000000
     2nd :  1.07142857e+00              Variance           :      1.071429
     3rd :  0.00000000e+00              Standard Deviation :      1.035098
     4th :  3.70879121e+00              Skewness           :       .000000
                                        Kurtosis           :      3.230769
MOMENTS - CENTERED                      Mode               :       .000000
                                        Median             :       .000000
     1st :  0.00000000e+00
     2nd :  1.07142857e+00
     3rd :  0.00000000e+00
     4th :  3.70879121e+00

Student t-Distribution : Student t(n) versus. Normal(0,1)

Degrees of

Freedom

Standard

Deviation

Kurtosis

5

1.2910

9.0000

10

1.1180

4.0000

15

1.0742

3.5455

20

1.0541

3.3750

25

1.0426

3.2857

30

1.0351

3.2308

35

1.0299

3.1935

40

1.0260

3.1667

45

1.0230

3.1463

50

1.0206

3.1304

55

1.0187

3.1176

60

1.0171

3.1071

65

1.0157

3.0984

70

1.0146

3.0909

75

1.0136

3.0845

80

1.0127

3.0789

85

1.0120

3.0741

90

1.0113

3.0698

95

1.0107

3.0659

100

1.0102

3.0625

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Home
Up
Overview
Beta
Inverted Beta
Cauchy 1
Cauchy 2 Param.
Chi
Chi Sq. 1 Param.
Chi Sq. 2 Param.
Erlang
Exponential
Fisher F
Gamma
Inverted Gamma
Gumbel
Laplace
Logistic
Lognormal
Normal
Pareto
Power
Rayleigh
r-Distribution
Rect. (Uniform)
Triangular
Weibull
Student t
Notation
Range
Parameters
Density Function
Moments Centered
Expected Value
Variance
Median
Mode
Skewness
Kurtosis
Random Numbers
Properties 1
Relationships 1
Relationships 2
Relationships 3
Relationships 4
Relationships 5
Relationships 6
Relationships 7
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