The proportional intermingling of two different exponential distribution terms

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Published: Jun 29, 2016
Keywords:
exponential distribution PED distribution

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Waratchaya Panomram
Faculty of Science, Khon Kaen University
Somchit Boonthiem
, Faculty of Science and Technology, Sakon Nakhon Rajabhat University
Supawan Khotama
Faculty of Science, Khon Kaen University
Watcharin Klongdee
Faculty of Science, Khon Kaen University

Abstract

In this paper we introduce a new distribution, called proportional exponential difference (PED) distribution, such that its probability density function is in the form:


gif.latex?f_{x}\left&space;(&space;x&space;,&space;\alpha&space;,\lambda&space;\right&space;)=\frac{\lambda&space;}{1-2\alpha&space;}\left&space;(&space;\left&space;(&space;1-\alpha&space;\right&space;)e&space;^-{\frac{\lambda&space;x}{1-\alpha&space;}}&space;-&space;\alpha&space;e&space;^-{\frac{\lambda&space;x}{\alpha&space;}}&space;\right&space;),x\geq&space;0,                                                   


where gif.latex?\lambda&space;>&space;0 และ gif.latex?\alpha&space;\epsilon&space;\left&space;(&space;0,\frac{1}{2}&space;\right&space;)\cup&space;\left&space;(&space;\frac{1}{2},1&space;\right&space;) . We study some properties of PED distribution such as expected value, variance,  moment generating function and its limit at gif.latex?\alpha&space;=0,\frac{1}{2} and 1.

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How to Cite
1.
Panomram W, Boonthiem S, Khotama S, Klongdee W. The proportional intermingling of two different exponential distribution terms. Prog Appl Sci Tech. [Internet]. 2016 Jun. 29 [cited 2024 Dec. 17];6(1):164-9. Available from: https://ph02.tci-thaijo.org/index.php/past/article/view/243166
Issue
Vol. 6 No. 1 (2016): January - June 2016
Section
Mathematics and Applied Statistics

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