PARAMETER ESTIMATION METHODS FOR TWO-COMPONENT MIXED EXPONENTIAL DISTRIBUTIONS

Volume: 8 Number: 2 June 1, 2015
  • Mehmet Yılmaz
  • Buse Buyum
Istatistik Journal of The Turkish Statistical Association Cover
Istatistik Journal of The Turkish Statistical Association
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PARAMETER ESTIMATION METHODS FOR TWO-COMPONENT MIXED EXPONENTIAL DISTRIBUTIONS

Abstract

In this paper, parameter estimation of mixture of exponential distributions with two-component,will be made by method of moments, maximum likelihood and least square. Comprise of these three methodswill be made by simulation techniques and the root of mean square errors (RMSE). We will compareperformance of methods through numerical simulations

Keywords

References

  1. Everitt, B.S and Hand, D.J. (1981). Finite mixture distributions, London: Chapman and Hall.
  2. Ren, Y. (2011). The methodology of flowgraph models, PhD Thesis, Department of Statistics London
  3. School of Economics and Political Science Rider, P.R. (1961). The Method of moments applied to a mixture of two exponential distributions,Annals of Mathematical Statistics, 32: 143-147.
  4. A¸cıkg¨oz, I. (2007). Sonlu karma da˘gılımlarda parametre tahmini, PhD Thesis, Graduate School of Nat- ural and Applied Sciences, Ankara University, Turkey.
  5. McLachlan, G.J. and Krishnan, T. (2008). The EM algorithm and extensions, John Wiley & Sons, Inc., Hoboken, New Jersey.
  6. Hasselblad, V. (1969). Estimation of Şnite mixtures of distributions from the exponential family, Amer- ican Statistical Association Journal, 64, 1459-1471.
  7. Teicher, H. (1960). On the mixture of distributions, Ann. Math. Stat.,31, 55-73.
  8. Teicher, H. (1961). IdentiŞability of mixtures, Annals of Math. Stats., 32, 244-248.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Mehmet Yılmaz This is me

Buse Buyum This is me

Publication Date

June 1, 2015

Submission Date

June 1, 2015

Acceptance Date

-

Published in Issue

Year 2015 Volume: 8 Number: 2

IZ

https://izlik.org/JA86XB52PZ

Cite

RIS / Bibtex
APA
Yılmaz, M., & Buyum, B. (2015). PARAMETER ESTIMATION METHODS FOR TWO-COMPONENT MIXED EXPONENTIAL DISTRIBUTIONS. Istatistik Journal of The Turkish Statistical Association, 8(2), 51-59. https://izlik.org/JA86XB52PZ
AMA
1.Yılmaz M, Buyum B. PARAMETER ESTIMATION METHODS FOR TWO-COMPONENT MIXED EXPONENTIAL DISTRIBUTIONS. IJTSA. 2015;8(2):51-59. https://izlik.org/JA86XB52PZ
Chicago
Yılmaz, Mehmet, and Buse Buyum. 2015. “PARAMETER ESTIMATION METHODS FOR TWO-COMPONENT MIXED EXPONENTIAL DISTRIBUTIONS”. Istatistik Journal of The Turkish Statistical Association 8 (2): 51-59. https://izlik.org/JA86XB52PZ.
EndNote
Yılmaz M, Buyum B (June 1, 2015) PARAMETER ESTIMATION METHODS FOR TWO-COMPONENT MIXED EXPONENTIAL DISTRIBUTIONS. Istatistik Journal of The Turkish Statistical Association 8 2 51–59.
IEEE
[1]M. Yılmaz and B. Buyum, “PARAMETER ESTIMATION METHODS FOR TWO-COMPONENT MIXED EXPONENTIAL DISTRIBUTIONS”, IJTSA, vol. 8, no. 2, pp. 51–59, June 2015, [Online]. Available: https://izlik.org/JA86XB52PZ
ISNAD
Yılmaz, Mehmet - Buyum, Buse. “PARAMETER ESTIMATION METHODS FOR TWO-COMPONENT MIXED EXPONENTIAL DISTRIBUTIONS”. Istatistik Journal of The Turkish Statistical Association 8/2 (June 1, 2015): 51-59. https://izlik.org/JA86XB52PZ.
JAMA
1.Yılmaz M, Buyum B. PARAMETER ESTIMATION METHODS FOR TWO-COMPONENT MIXED EXPONENTIAL DISTRIBUTIONS. IJTSA. 2015;8:51–59.
MLA
Yılmaz, Mehmet, and Buse Buyum. “PARAMETER ESTIMATION METHODS FOR TWO-COMPONENT MIXED EXPONENTIAL DISTRIBUTIONS”. Istatistik Journal of The Turkish Statistical Association, vol. 8, no. 2, June 2015, pp. 51-59, https://izlik.org/JA86XB52PZ.
Vancouver
1.Mehmet Yılmaz, Buse Buyum. PARAMETER ESTIMATION METHODS FOR TWO-COMPONENT MIXED EXPONENTIAL DISTRIBUTIONS. IJTSA [Internet]. 2015 Jun. 1;8(2):51-9. Available from: https://izlik.org/JA86XB52PZ