@article{Alam_2022, title={On Comparing Different Methods of Estimation for the Parameters of a Pathological Distribution with Application to Climate Data}, volume={51}, url={https://www.ajs.or.at/index.php/ajs/article/view/1331}, DOI={10.17713/ajs.v51i4.1331}, abstractNote={<pre style="-qt-block-indent: 0; text-indent: 0px; margin: 0px;">In statistical literature, various probability distributions exist with advantageous properties, <br />while others are considered pathological since their properties are counterintuitive. A well-known pathological <br />probability distribution is the Cauchy distribution, and it has applications in areas related to environmental <br />and financial research. Both the log-Cauchy and half-Cauchy distributions, which have close connections <br />to the Cauchy distribution, are pathological distributions. This paper considers another pathological model <br />called the Cauchy Birnbaum-Saunders distribution. Some of the statistical properties of this distribution <br />are discussed briefly, and its parameters are estimated using eight frequentist estimation methods, including <br />the maximum likelihood, least-squares-based, and minimum distance estimation methods. Monte Carlo simulations <br />are carried out to compare and examine the performance of each estimator numerically. Furthermore, <br />a recent climate data set is analyzed to show the practical applicability of this model.</pre>}, number={4}, journal={Austrian Journal of Statistics}, author={Alam, Farouq Mohammad A.}, year={2022}, month={Aug.}, pages={120–147} }