HyperMath

BetaFit

BetaFit

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BetaFit

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Generates beta distribution parameter estimates and confidence intervals.

Syntax

a, b, aCI, bCI = BetaFit(Points)

Argument

Name

Description

 

Points

A vector of data points in the interval (0,1). Needs at least 3 distinct points.

Outputs

Name

Description

 

a

Estimate of the first shape parameter. A scalar.

 

b

Estimate of the second shape parameter. A scalar.

 

aCI

95% confidence interval of the estimate of a. A two element row vector containing the lower and upper bounds of the confidence interval.

 

bCI

95% confidence interval of the estimate of b. A two element row vector containing the lower and upper bounds of the confidence interval.

Example

For a given data set, find a, b, and the confidence intervals, assuming a beta distribution.

 

Syntax

 

 

a, b, aCI, bCI = BetaFit(data)

 

Results

 

 

a is the maximum likelihood estimate of the first shape parameter.

 

b is the maximum likelihood estimate of the second shape parameter.

 

aCI is a two element vector containing the 95% confidence interval of a.

 

bCI is a two element vector containing the 95% confidence interval of b.

See Also:

BetaCDF

BetaInvCDF

BetaPDF

Probability Distributions