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The Pareto distribution is a continuous distribution bounded on the lower side. It has a finite value at the minimum x and decreases monotonically for increasing x. A Pareto random variable is the exponential of an Exponential random variable, and possesses many of the same characteristics.
The Pareto distribution has, historically, been used to represent the income distribution of a society. It is also used to model many empirical phenomena with very long right tails, such as city population sizes, occurrence of natural resources, stock price fluctuations, size of firms, brightness of comets, and error clustering in communication circuits.
The shape of the Pareto curve changes slowly with alpha, but the tail of the distribution increases dramatically with decreasing alpha.
- Description
- Generates a sample of the Pareto distribution.
- Parameters
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Name Type of value Description alpha double The scale parameter > 0. min double The minimum x value. - Result
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Type Description double The generated sample.
- Description
- Generates a sample of the Pareto distribution with min set to 1. Is equivalent to pareto(alpha, 1).
- Parameters
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Name Type of value Description alpha double the scale parameter > 0. - Result
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Type Description double The generated sample.
- Description
- Generates a sample of the Pareto distribution using the specified random number generator.
- Parameters
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Name Type of value Description alpha double The scale parameter > 0. min double The minimum x value. r java.util.Random The random number generator. - Result
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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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