Research Article

A COMPARISON OF DIFFERENT ESTIMATION METHODS FOR THE PARAMETERS OF THE WEIBULL LINDLEY DISTRIBUTION

Volume: 8 Number: 1 February 28, 2020
Şükrü Acıtaş *, Talha Arslan
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Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler Cover Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler
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A COMPARISON OF DIFFERENT ESTIMATION METHODS FOR THE PARAMETERS OF THE WEIBULL LINDLEY DISTRIBUTION

Abstract

In this study, we consider different estimation methods for the parameters of Weibull Lindley distribution introduced by Ashgarzadeh et al. [1].  We consider maximum likelihood (ML), least squares (LS), weighted least squares (WLS), Cramer Von Mises (CVM) and Anderson Darling (AD) estimation methods. The main focus of this study is to examine performances of these estimation methods. For this purpose, we carry out a Monte-Carlo simulation study based on different parameter settings and various values of the sample size. Results show that LS and CVM estimators are more preferable. Two real life data sets are also taken into account at end of the study. 


Keywords

Weibull Lindley distribution,Parameter estimation,Bias,Efficiency

References

  1. Asgharzadeh, A. K. B. A. R., Nadarajah, S., & Sharafi, F. 2018. Weibull Lindley distribution. REVSTAT-Statistical Journal, 16(1), 87-113.
  2. Lindley, D. V. 1958. Fiducial distributions and Bayes' theorem. Journal of the Royal Statistical Society. Series B (Methodological), 102-107.
  3. Ghitany, M. E., Atieh, B., & Nadarajah, S. 2008. Lindley distribution and its application. Mathematics and computers in simulation, 78(4), 493-506.
  4. Nadarajah, S., Bakouch, H. S., & Tahmasbi, R. 2011. A generalized Lindley distribution. Sankhya B, 73(2), 331-359.
  5. Oluyede, B. O., & Yang, T. 2015. A new class of generalized Lindley distributions with applications. Journal of Statistical Computation and Simulation, 85(10), 2072-2100.
  6. Ghitany, M. E., Alqallaf, F., Al-Mutairi, D. K., & Husain, H. A. 2011. A two-parameter weighted Lindley distribution and its applications to survival data. Mathematics and Computers in simulation, 81(6), 1190-1201.
  7. Bakouch, H. S., Al-Zahrani, B. M., Al-Shomrani, A. A., Marchi, V. A., & Louzada, F. 2012. An extended Lindley distribution. Journal of the Korean Statistical Society, 41(1), 75-85.
  8. Ghitany, M. E., Al-Mutairi, D. K., Balakrishnan, N., & Al-Enezi, L. J. 2013. Power Lindley distribution and associated inference. Computational Statistics & Data Analysis, 64, 20-33.
  9. Kantar, Y.M., Senoglu, B. 2008. A comparative study for the location and scale parameters of the Weibull distribution with given shape parameter. Computers & Geosciences, 34(12), 1900-1909.
  10. Akgul, F.G., Senoglu, B. and Arslan, T. 2016. An alternative distribution to Weibull for modeling the wind speed data: Inverse Weibull distribution. Energy Conversion and Management, 114, 234-240.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

February 28, 2020

Submission Date

February 19, 2019

Acceptance Date

January 3, 2020

Published in Issue

Year 2020 Volume: 8 Number: 1

DOI

https://doi.org/10.20290/estubtdb.529328

IZ

https://izlik.org/JA92UT55HL

Cite

RIS / Bibtex
APA
Acıtaş, Ş., & Arslan, T. (2020). A COMPARISON OF DIFFERENT ESTIMATION METHODS FOR THE PARAMETERS OF THE WEIBULL LINDLEY DISTRIBUTION. Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler, 8(1), 19-33. https://doi.org/10.20290/estubtdb.529328
AMA
1.Acıtaş Ş, Arslan T. A COMPARISON OF DIFFERENT ESTIMATION METHODS FOR THE PARAMETERS OF THE WEIBULL LINDLEY DISTRIBUTION. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler. 2020;8(1):19-33. doi:10.20290/estubtdb.529328
Chicago
Acıtaş, Şükrü, and Talha Arslan. 2020. “A COMPARISON OF DIFFERENT ESTIMATION METHODS FOR THE PARAMETERS OF THE WEIBULL LINDLEY DISTRIBUTION”. Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler 8 (1): 19-33. https://doi.org/10.20290/estubtdb.529328.
EndNote
Acıtaş Ş, Arslan T (February 1, 2020) A COMPARISON OF DIFFERENT ESTIMATION METHODS FOR THE PARAMETERS OF THE WEIBULL LINDLEY DISTRIBUTION. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler 8 1 19–33.
IEEE
[1]Ş. Acıtaş and T. Arslan, “A COMPARISON OF DIFFERENT ESTIMATION METHODS FOR THE PARAMETERS OF THE WEIBULL LINDLEY DISTRIBUTION”, Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler, vol. 8, no. 1, pp. 19–33, Feb. 2020, doi: 10.20290/estubtdb.529328.
ISNAD
Acıtaş, Şükrü - Arslan, Talha. “A COMPARISON OF DIFFERENT ESTIMATION METHODS FOR THE PARAMETERS OF THE WEIBULL LINDLEY DISTRIBUTION”. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler 8/1 (February 1, 2020): 19-33. https://doi.org/10.20290/estubtdb.529328.
JAMA
1.Acıtaş Ş, Arslan T. A COMPARISON OF DIFFERENT ESTIMATION METHODS FOR THE PARAMETERS OF THE WEIBULL LINDLEY DISTRIBUTION. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler. 2020;8:19–33.
MLA
Acıtaş, Şükrü, and Talha Arslan. “A COMPARISON OF DIFFERENT ESTIMATION METHODS FOR THE PARAMETERS OF THE WEIBULL LINDLEY DISTRIBUTION”. Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler, vol. 8, no. 1, Feb. 2020, pp. 19-33, doi:10.20290/estubtdb.529328.
Vancouver
1.Şükrü Acıtaş, Talha Arslan. A COMPARISON OF DIFFERENT ESTIMATION METHODS FOR THE PARAMETERS OF THE WEIBULL LINDLEY DISTRIBUTION. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler. 2020 Feb. 1;8(1):19-33. doi:10.20290/estubtdb.529328