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Statistical Distributions - Weibull Distribution - Overview and Examples

[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)] [Student t] [Triangular] [Weibull]

[Notation] [Range] [Parameters] [Density Function] [Distribution Function] [Moments Uncent.] [1st Uncentered Mom.] [2nd Uncentered Mom.] [3rd Uncentered Mom.] [4th Uncentered Mom.] [Expected Value] [Variance] [Median] [Mode] [Variation Coefficient] [Random Numbers] [Properties 1] [Properties 2] [Properties 3] [Properties 4] [Relationships 1] [Relationships 2] [Relationships 3] [Relationships 4] [Relationships 5]

Graphical Representation

Statistical Distributions - Weibull Distribution - Overview and Examples

Parameters :

Output

+----------------------+
¦ WEIBULL DISTRIBUTION ¦
+----------------------+

MOMENTS - UNCENTERED                    STATISTICS

     1st :  2.37837692e+01              Expected Value     :     23.783769
     2nd :  5.73855464e+02              Variance           :      8.187784
     3rd :  1.40229796e+04              Standard Deviation :      2.861430
     4th :  3.46587429e+05              Skewness           :      -.637637
                                        Kurtosis           :      3.570166
MOMENTS - CENTERED                      Mode               :     24.737981
                                        Median             :     24.100306
     1st :  0.00000000e+00
     2nd :  8.18778442e+00
     3rd : -1.49390575e+01
     4th :  2.39343296e+02

Notation - Range - Parameters

Continuous Distributions - Weibull Distribution - Notation - Range - Parameters

Probability Density Function

Continuous Distributions - Weibull Distribution - Probability Density Function

Distribution Function

Continuous Distributions - Weibull Distribution - Distribution Function

Uncentered Moments

Continuous Distributions - Weibull Distribution - Uncentered Moments

First Uncentered Moment

Continuous Distributions - Weibull Distribution - First Uncentered Moment

Second Uncentered Moment

Continuous Distributions - Weibull Distribution - Second Uncentered Moment

Third Uncentered Moment

Continuous Distributions - Weibull Distribution - Third Uncentered Moment

Fourth Uncentered Moment

Continuous Distributions - Weibull Distribution - Fourth Uncentered Moment

Expected Value

Continuous Distributions - Weibull Distribution - Expected Value

Variance

Continuous Distributions - Weibull Distribution - Variance

Median

Continuous Distributions - Weibull Distribution - Median

Mode

Continuous Distributions - Weibull Distribution - Mode

Variation Coefficient

Continuous Distributions - Weibull Distribution - Coefficient of Variation

Random Number Generator

Continuous Distributions - Weibull Distribution - Random Number Generator

Properties 1 - Limiting Cases

Continuous Distributions - Weibull Distribution - Properties 1 - Limiting Cases

Properties 2 - Degeneration at the Mode

Continuous Distributions - Weibull Distribution - Properties 2 - Degeneration at the Mode

Properties 3 - Reliability Models

Continuous Distributions - Weibull Distribution - Properties 3 - Reliability Models

Properties 4 - Characteristic Life

Continuous Distributions - Weibull Distribution - Properties 4 - Characteristic Life

Related Distributions 1 - Weibull Distribution versus Exponential Distribution

Continuous Distributions - Weibull Distribution - Related Distributions 1- Weibull Distribution versus Exponential Distribution

Related Distributions 2 - Weibull Distribution versus Exponential Distribution

Continuous Distributions - Weibull Distribution - Related Distributions 2- Weibull Distribution versus Exponential Distribution

Related Distributions 3 - Weibull Distribution versus Chi and Rayleigh Distribution

Continuous Distributions - Weibull Distribution - Related Distributions 3- Weibull Distribution versus Chi and Rayleigh Distribution

Related Distributions 4 - Weibull Distribution versus Chi and Rayleigh Distribution

Continuous Distributions - Weibull Distribution - Related Distributions 4- Weibull Distribution versus Chi and Rayleigh Distribution

Related Distributions 5 - Weibull Distribution versus Gumbel Distribution

Continuous Distributions - Weibull Distribution - Related Distributions 5- Weibull Distribution versus Gumbel Distribution

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Lognormal
Normal
Pareto
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r-Distribution
Rect. (Uniform)
Student t
Triangular
Weibull
Notation
Range
Parameters
Density Function
Distribution Function
Moments Uncent.
1st Uncentered Mom.
2nd Uncentered Mom.
3rd Uncentered Mom.
4th Uncentered Mom.
Expected Value
Variance
Median
Mode
Variation Coefficient
Random Numbers
Properties 1
Properties 2
Properties 3
Properties 4
Relationships 1
Relationships 2
Relationships 3
Relationships 4
Relationships 5
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