3 papers
stat.ME2026
A unified testing approach for log-symmetry using Fourier methods
Ganesh Vishnu Avhad, Sudheesh K. Kattumannil
Continuous and strictly positive data that exhibit skewness and outliers frequently arise in many applied disciplines. Log-symmetric distributions provide a flexible framework for…
math.ST2025
Jackknife Empirical Likelihood Ratio Test for Cauchy Distribution
Ganesh Vishnu Avhad, Ananya Lahiri, Sudheesh K. Kattumannil
Heavy-tailed distributions, such as the Cauchy distribution, are acknowledged for providing more accurate models for financial returns, as the normal distribution is deemed insuffi…
math.ST2025
On testing the class of symmetry using entropy characterization and empirical likelihood approach
Ganesh Vishnu Avhad, Ananya Lahiri, Sudheesh K. Kattumannil
In this paper, we obtain a new characterization result for symmetric distributions based on the entropy measure. Using the characterization, we propose a nonparametric test to test…