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poisson (truncated)

The distribution poisson(mean) is stretched by the stretch coefficient, then shifted to the right by shift. After that it is truncated to fit into the [min, max] interval. Truncation is performed by discarding any sample outside this interval and taking the next try.

For more details, see poisson().

poisson(double min, double max, double mean, double shift, double stretch)

Description
Generates a sample of the truncated Poisson distribution.
Parameters
Name Type 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”.
mean double The mean value for the distribution = rate of event occurrence.
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
int The generated sample.

poisson(double min, double max, double mean, double shift, double stretch, java.util.Random r)

Description
Generates a sample of the truncated Poisson distribution using the specified random number generator.
Parameters
Name Type Description
min double The minimum x value.
max double The maximum x value.
mean double The mean value for the distribution = rate of event occurrence.
shift double The shift parameter.
stretch double The stretch parameter.
r java.util.Random The random number generator.
Result
Type Description
int The generated sample.

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

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