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
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…
math.ST2024
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…