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beta (truncated)

The distribution beta(p, q, 0, 1) is stretched by the stretch coefficient, then shifted to the right by shift. It is then truncated to fit into the [min, max] interval. Truncation is done by discarding any sample outside this interval and taking the next try.

For more details, see beta().

beta(double min, double max, double p, double q, double shift, double stretch)

Description
Generates a sample of the truncated beta distribution.
Parameters
Name Type of value Description
min double The minimum value that this function will return. The distribution is truncated to return values above this. If the sample (stretched and shifted) is below this value, it will be discarded and another sample will be drawn. Use -infinity for “No limit”.
max double The maximum value that this function will return. The distribution is truncated to return values below this. If the sample (stretched and shifted) is bigger than this value, it will be discarded and another sample will be drawn. Use infinity for “No limit”.
p double The lower shape parameter > 0. Also known as the alpha parameter.
q double The upper shape parameter > 0. Also known as the beta parameter.
shift double The shift parameter that indicates how much the (stretched) distribution will be shifted to the right.
stretch double The stretch parameter that indicates how much the distribution will be stretched.
Result
Type Description
double The generated sample.

beta(double min, double max, double p, double q, double shift, double stretch, java.util.Random r)

Description
Generates a sample of the truncated beta distribution using the specified random number generator.
Parameters
Name Type of value Description
min double The minimum x value.
max double The maximum x value.
p double The lower shape parameter > 0.
q double The upper shape parameter > 0.
shift double The shift parameter.
stretch double The stretch parameter.
r java.util.Random The random number generator.
Result
Type Description
double The generated sample.

This document includes content from the “Stat::Fit User’s Manual”. Copyright 2016 Geer Mountain Software Corp.

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