Intersect2Mixtures

Finds the intersect of two gaussians or log gaussians

Multimodal distributions can be modelled as a mixture of components. The model is derived using the Pareto Density Estimation (PDE) for an estimation of the pdf. PDE has been designed in particular to identify groups/classes in a dataset. Precise limits for the classes can be calculated using the theorem of Bayes. Verification of the model is possible by QQ plot, Chi-squared test and Kolmogorov-Smirnov test. The package is based on the publication of Ultsch, A., Thrun, M.C., Hansen-Goos, O., Lotsch, J. (2015) <DOI:10.3390/ijms161025897>.

Michael Thrun

AdaptGauss

Gaussian Mixture Models (GMM)

Onno Hansen-Goos

Rabea Griese

Catharina Lippmann

Florian Lerch

Quirin Stier

Jorn Lotsch

Luca Brinkmann

Alfred Ultsch

Intersect2Mixtures function

<dl>
 <dt>Mean1</dt>
<dd>mean of 1.gaussian</dd> <dt>SD1</dt>
<dd>standard deviations of 1.gaussian</dd> <dt>Weight1</dt>
<dd>weight of 1. guassian</dd> <dt>Mean2</dt>
<dd>mean of 2.gaussian</dd> <dt>SD2</dt>
<dd>standard deviations of 2.gaussian</dd> <dt>Weight2</dt>
<dd>weight of 2. guassian</dd> <dt>IsLogDistribution</dt>
<dd>Optional, ==1 if distribution(i) is a LogNormal, default vector of zeros of length 2</dd> <dt>MinData</dt>
<dd>Optional, Beginning of range, where the intersect is searched for, default min(Mean1,Mean2)</dd> <dt>MaxData</dt>
<dd>Optional, End of range, where the intersect is searched for, default max(Mean1,Mean2)</dd></dl>

Arguments

Author

Intersect of two Gaussians — Intersect2Mixtures

<dl>


 <dt>Mean1</dt>
<dd>mean of 1.gaussian</dd>

 <dt>SD1</dt>
<dd>standard deviations of 1.gaussian</dd>

 <dt>Weight1</dt>
<dd>weight of 1. guassian</dd>

 <dt>Mean2</dt>
<dd>mean of 2.gaussian</dd>

 <dt>SD2</dt>
<dd>standard deviations of 2.gaussian</dd>

 <dt>Weight2</dt>
<dd>weight of 2. guassian</dd>

 <dt>IsLogDistribution</dt>
<dd>Optional, ==1 if distribution(i) is a LogNormal, default vector of zeros of length 2</dd>

 <dt>MinData</dt>
<dd>Optional, Beginning of range, where the intersect is searched for, default min(Mean1,Mean2)</dd>

 <dt>MaxData</dt>
<dd>Optional, End of range, where the intersect is searched for, default max(Mean1,Mean2)</dd>

</dl>

Intersect of two Gaussians

Intersect2Mixtures: Intersect of two Gaussians

Description

Usage

Value

Arguments

Author

See Also