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title: "Pareto - second kind"
canonical: "https://modelassist.epixanalytics.com/space/EA/26575248/Pareto%20-%20second%20kind"
format: markdown
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**Pareto2(q,b) - no Crystal Ball distribution = Pareto(a, *****q*****) – a*****,**** where a = b, and q =* *q*

<span style="color: #000000">[Pareto equations (second kind)](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26576347/)</span>

  


  


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: | ![image](media://c997d96d-4f8b-40f8-93ed-bf9235976686)<br>> Macro (mathinline) |
| Pareto2: | ![image](media://b8b089b5-97e6-48b8-b703-4ffe146e1f71)<br>> Macro (mathinline) |

  


The only difference between the two equations is that x for the Pareto has been replaced by (x+b) for the Pareto2.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, using the notation above:

  


Pareto2(b,q) = Pareto(*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

See the Pareto distribution

  


  


  


  


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