Abstract
In this article, we introduce a new three-parameter transmuted Cauchy distribution using the quadratic rank transmutation map approach. Some mathematical properties of the proposed model are discussed. A simulation study is conducted using the method of maximum likelihood estimation to estimate the parameters of the model. We use two real data sets and compare various statistics to show the fitting and versatility of the proposed model.
| Original language | English |
|---|---|
| Pages (from-to) | 123-136 |
| Number of pages | 14 |
| Journal | Statistics, Optimization and Information Computing |
| Volume | 9 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2021 |
| Externally published | Yes |
Funding
We would like to thank the anonymous reviewers for careful reading of our manuscripts and providing valuable feedback which certainly improved the quality of the paper.
Keywords
- Cauchy distribution
- Hazard rate function
- Maximum likelihood estimation
- Quadratic rank transmuted map
- transmuted Cauchy distribution