On the Estimation of Parameter of Weighted Sums of Exponential Distribution

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 04 Mar 2014 English Publisher:Hindawi LimitedJournal:Chinese Journal of Mathematics, volume 2,014, pages 1-3 (eissn: 2314-8071,

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Authors: Abbasi, N.; Namju, A.; Safari, N.;

doi: 10.1155/2014/241964

On the Estimation of Parameter of Weighted Sums of Exponential Distribution

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Abstract

The random variable Zn,α=Y1+2αY2+⋯+nαYn, with α∈ℝ and Y1,Y2,… being independent exponentially distributed random variables with mean one, is considered. Van Leeuwaarden and Temme (2011) attempted to determine good approximation of the distribution of Zn,α. The main problem is estimating the parameter α that has the main state in applicable research. In this paper we show that estimating the parameter α by using the relation between α and mode is available. The mean square error values are obtained for estimating α by mode, moment method, and maximum likelihood method.

Related Organizations

Payame Noor University
Iran (Islamic Republic of)

Keywords

Point estimation

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