Pareto (second kind) distribution

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Format: VosePareto2(b, q, U)

Pareto equations (second kind)

 

This distribution is simply a standard Pareto distribution but shifted along the x-axis so that it starts at x = 0. This is most readily apparent by studying the cumulative distribution functions for the two distributions:

Pareto:  

Pareto2:

The only difference between the two equations is that x for the Pareto has been replaced by (x+b) for the Pareto2. In other words:

VosePareto2(b,q) = VosePareto(q,a) - a

where a = b, and q = q

Thus both distributions have the same variance and shape when a = b and q = q, but different means.

Uses

A Pareto2 (1/b, a)distribution describes the time between events where the number of random events occurring in a unit of time follows a Polya (a,b) distribution.
 

See the Pareto (first kind) distribution

VoseFunctions for this distribution

VosePareto2 generates values from this distribution or calculates a percentile.

VosePareto2Object constructs a distribution object for this distribution. Professional and Industrial editions only.

VosePareto2Prob returns the probability density or cumulative distribution function for this distribution. Professional and Industrial editions only.

VosePareto2Prob10 returns the log10 of the probability density or cumulative distribution function. Professional and Industrial editions only.  

VosePareto2Fit generates values from this distribution fitted to data, or calculates a percentile from the fitted distribution. Professional and Industrial editions only.

VosePareto2FitObject constructs a distribution object of this distribution fitted to data. Professional and Industrial editions only.

VosePareto2FitP returns the parameters of this distribution fitted to data. Professional and Industrial editions only.

See Also