On the Estimation of Parameter of Weighted Sums of Exponential Distribution

Joint Authors

Safari, N.
Abbasi, N.
Namju, A.

Source

Chinese Journal of Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-3, 3 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-03-04

Country of Publication

Egypt

No. of Pages

3

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Abbasi, N.& Namju, A.& Safari, N.. 2014. On the Estimation of Parameter of Weighted Sums of Exponential Distribution. Chinese Journal of Mathematics،Vol. 2014, no. 2014, pp.1-3.
https://search.emarefa.net/detail/BIM-456680

Modern Language Association (MLA)

Abbasi, N.…[et al.]. On the Estimation of Parameter of Weighted Sums of Exponential Distribution. Chinese Journal of Mathematics No. 2014 (2014), pp.1-3.
https://search.emarefa.net/detail/BIM-456680

American Medical Association (AMA)

Abbasi, N.& Namju, A.& Safari, N.. On the Estimation of Parameter of Weighted Sums of Exponential Distribution. Chinese Journal of Mathematics. 2014. Vol. 2014, no. 2014, pp.1-3.
https://search.emarefa.net/detail/BIM-456680

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-456680