---
title: "Reciprocal"
canonical: "https://modelassist.epixanalytics.com/space/EA/26575253/Reciprocal"
format: markdown
---
Reciprocal(Min,Max)

[Reciprocal equations](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26576410/)

 

The Reciprocal distribution is a right-skewed distribution bounded between *Min* and *Max*. If *Min* and *Max* are almost equal the distribution looks like a Triangle(*Min*,*Min*,*Max*). The greater the ratio *Max*/*Min* the more the distribution takes on a skewed form. Examples of the Reciprocal distribution are given below:

 

![image](media://cc42b502-0a2c-4266-8e14-2f372671bde8)

### Uses

The Reciprocal distribution is widely used as an [uninformed prior distribution](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26575372/) in [Bayesian inference](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26575368) for scale parameters

 

It is also used to describe "1/*f* noise'. One way to characterize different noise sources is to consider the spectral density, i.e. the mean squared fluctuation at any particular frequency *f* and how that varies with frequency. A common approach is to model spectral densities that vary as powers of inverse frequency: the power spectra *P*(*f*) is proportional to *f* <sup>-</sup>*<sup>b</sup>*<sup> </sup>for *b* ≥0. *b* = 0 equates to white noise (i.e. no relationship between *P*(*f*) and *f*), *b* = 2 is called Brownian noise, and *b* = 1 takes the name "1/*f* noise' which occurs very often in nature.

 

### Comments

The distribution gets its name because the density function *f*(*x*) is proportional to 1/*x*.

 

 

 

---