Discrete_Discrepancy

Discrete Discrepancy is a measure of uniformity for any uniform design. Lesser the value of Discrete Discrepancy measure, better is the uniform design.

Computer Experiments


Discrete Discrepancy



Uniformity measure


Latin Hypercube Designs

CompExpDes

Space-Filling Designs

In computer experiments space-filling designs are having great impact. Most popularly used space-filling designs are Uniform designs (UDs), Latin hypercube designs (LHDs) etc. For further references one can see Mckay (1979) <DOI:10.1080/00401706.1979.10489755> and Fang (1980) <https://cir.nii.ac.jp/crid/1570291225616774784>. In this package, we have provided algorithms for generate efficient LHDs and UDs. Here, generated LHDs are efficient as they possess lower value of Maxpro measure, Phi_p value and Maximum Absolute Correlation (MAC) value based on the weightage given to each criterion. On the other hand, the produced UDs are having good space-filling property as they always attain the lower bound of Discrete Discrepancy measure. Further, some useful functions added in this package for adding more value to this package.

Ashutosh  Dalal

Designs for Computer Experimentations

Cini Varghese

Rajender Parsad

Mohd Harun

Discrete_Discrepancy function

<dl> <dt>Design</dt>
<dd>A matrix</dd> <dt>a</dt>
<dd>Any value a&gt;b&gt;0. By default it is set to 1.</dd> <dt>b</dt>
<dd>Any value a&gt;b&gt;0. By default it is set to 0.5.</dd></dl>

Arguments

Ashutosh Dalal,
Cini Varghese,
Rajender Parsad and
Mohd Harun

Author

Measure of Discrete Discrepancy — Discrete_Discrepancy

<dl>

 <dt>Design</dt>
<dd>A matrix</dd>

 <dt>a</dt>
<dd>Any value a&gt;b&gt;0. By default it is set to 1.</dd>

 <dt>b</dt>
<dd>Any value a&gt;b&gt;0. By default it is set to 0.5.</dd>

</dl>

Discrete_Discrepancy: Measure of Discrete Discrepancy

Description

Usage

Value

Arguments

Author

References

Examples