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Activity Number: 483
Type: Contributed
Date/Time: Thursday, August 7, 2008 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #302238
Title: Folded Parametric Families
Author(s): Malwane Ananda*+ and Kahadawala Cooray and Sumith Gunasekera
Companies: University of Nevada, Las Vegas and University of Nevada, Las Vegas and University of Nevada, Las Vegas
Address: Department of Mathematical Sciences, Las Vegas, NV, 89154,
Keywords: Folded Distributions ; Cauchy Distribution ; Laplace Distribution
Abstract:

In some practical applications, measurements are recorded without their algebraic sign. As a consequence, the underlying distributions of measurements are replaced by distributions of absolute measurements, and the resulting distributions are known as folded distributions. In general, folded distributions are positively skewed and have non-zero density value. Therefore, these distributions are useful to analyze the data sets with zero data points. The folded normal and folded logistic distributions and their applications have already been discussed in detail in statistical literature. This paper is confined to discuss some properties of the folded Cauchy and folded Laplace distributions. Parameter estimation techniques are discussed and the advantages of using these distributions are demonstrated using well-known examples.


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