Research Article

Different methods of estimation for the one parameter Akash distribution

Volume: 41 Number: 4 December 29, 2020
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Different methods of estimation for the one parameter Akash distribution

Abstract

Akash distribution is a mixture of an exponential distribution and a gamma distribution with certain mixing proportions. Although the maximum likelihood estimation method has been proposed for the Akash distribution, there is no comprehensive comparison of different methods of estimation in the literature. This study provides five different methods of estimation, such as maximum likelihood, least-squares, weighted least-squares, Anderson-Darling, and Crámer–von-Mises for Akash distribution. We consider a comprehensive Monte Carlo simulation study to compare the performances of these methods via the biases and mean-squared errors of these estimators. Also, a real data application is performed. 

Keywords

References

  1. [1] Amin K. Shanker R. Akash distribution and Its Applications, International Journal of Probability and Statistics, 4 (3) (2015) 65–75.
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  7. [7] Shanker R., Shukla K. K., Leonida T. A. A Two-Parameter Poisson-Akash Distribution with Properties and Applications, International Journal of Probability and Statistics, 7(4) (2018) 114-123.
  8. [8] Ganaie R. A., Rajagopalan, V. On Weighted Three Parameters Akash Distribution with Application of Lifetime data, Journal of Xidian University, 14 (4) (2020) 877-893.

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Publication Date

December 29, 2020

Submission Date

July 7, 2020

Acceptance Date

October 28, 2020

Published in Issue

Year 2020 Volume: 41 Number: 4

DOI

https://doi.org/10.17776/csj.766011

IZ

https://izlik.org/JA69GZ94NF

Cite

RIS / Bibtex
APA
Karakaya, K., & Tanış, C. (2020). Different methods of estimation for the one parameter Akash distribution. Cumhuriyet Science Journal, 41(4), 944-950. https://doi.org/10.17776/csj.766011

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