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Statistical Distributions - Inverted Beta Distribution - Example

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[Notation] [Range] [Parameters] [Density Function] [Moments Uncent.] [Expected Value] [Variance] [Mode] [Random Numbers] [Relationships - 1] [Beta Function] [Gamma Function]

Graphical Representation 1

Graphical Representation 2

Parameters :

Output

+----------------------------+
¦ INVERTED BETA DISTRIBUTION ¦
+----------------------------+

MOMENTS - UNCENTERED                    STATISTICS

     1st :  1.25000000e+00              Expected Value     :      1.250000
     2nd :  2.50000000e+00              Variance           :       .937500
     3rd :  8.75000000e+00              Standard Deviation :       .968246
     4th :  7.00000000e+01              Skewness           :      3.614784
                                        Kurtosis           :     48.200000
MOMENTS - CENTERED                      Mode               :       .666667

     1st :  0.00000000e+00
     2nd :  9.37500000e-01
     3rd :  3.28125000e+00
     4th :  4.23632813e+01

Notation - Range - Parameters

Continuous Distributions - Inverted Beta Distribution - Notation - Range - Parameters

Probability Density Function

Continuous Distributions - Inverted Beta Distribution - Probability Density Function

Uncentered Moments

Continuous Distributions - Inverted Beta Distribution - Uncentered Moments

Expected Value

Continuous Distributions - Inverted Beta Distribution - Expected Value

Variance

Continuous Distributions - Inverted Beta Distribution - Variance

Mode

Continuous Distributions - Inverted Beta Distribution - Mode

Random Number Generator

Continuous Distributions - Inverted Beta Distribution - Random Number Generator

Note: if X is beta(a,b) then (1-X)/X is betai(b,a) and X/(1-X) is betai(a,b).

Beta Distribution versus Inverted Beta Distribution

Continuous Distributions - Inverted Beta Distribution - Related Distributions 1 - Beta Distribution versus Inverted Beta Distribution

Note: if X is beta(a,b) then (1-X)/X is betai(b,a) and X/(1-X) is betai(a,b).

Beta Function

Continuous Distributions - Inverted Beta Distribution - Beta Function

Gamma Function

Continuous Distributions - Inverted Beta Distribution - Gamma Function

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