Study on the Linear Combination of a Class ofBivariate Exponential Distribution

(整期优先)网络出版时间:2015-02-12
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Makinguseofaneasiermethod,thispaperderivestheprobabilitydensityfunction(pdf)ofthelinearcombinationofrandomvariableZ=αX+βY.Furthermore,cumulativedistributionfunction(cdf)ofZ=αX+βY,whereXandYhavethebivariateexponentialdistributions,hasalsobeenproposedinthispaper.Resultsfromthispaperwouldhaveimportantroleinthereliabilitystudy.