Different methods of estimation for the one parameter Akash distribution
| Autor: | Caner Taniş, Kadir Karakaya |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
Estimation maximum likelihood method Exponential distribution Distribution (number theory) Monte Carlo method weighted least-squares method Estimator crámer–von-mises estimation method least-squares method General Medicine Data application Akash distribution Maximum likelihood method Least-squares method weighted Least-squares method Crámer–von-Mises estimation method Mixing (mathematics) lcsh:TA1-2040 Statistics Gamma distribution İstatistik ve Olasılık lcsh:Q akash distribution lcsh:Engineering (General). Civil engineering (General) lcsh:Science lcsh:Science (General) lcsh:Q1-390 Mathematics |
| Zdroj: | Cumhuriyet Science Journal, Vol 41, Iss 4, Pp 944-950 (2020) Volume: 41, Issue: 4 944-950 Cumhuriyet Science Journal |
| ISSN: | 2587-2680 2587-246X |
| DOI: | 10.17776/csj.766011 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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