ARCHIVES
VOL. 10, ISSUE 1 (2025)
A comparative study of selected Laplace distribution variants for statistical modelling
Authors
Okafor S O, Aronu C O, Ugwu N D
Abstract
This study conducts a comparison of four key
variants of the Laplace distribution: Laplace (L), Transmuted Laplace (TL),
Alternative Laplace (AL), and Asymmetric Laplace (ASL). Despite extensive
research on these models individually, a comparative analysis remains scarce.
The study aims to fill this gap by evaluating their relative strengths and
weaknesses in various data scenarios. Using simulated data across a range of
sample sizes (5 to 1000), the study assesses model performance using metrics
like the Akaike Information Criterion (AIC), Bayesian Information Criterion
(BIC), and Mean Squared Error (MSE). Each distribution’s performance was
evaluated in terms of fit, parameter estimation accuracy, and adaptability to
real-world data characteristics. The results show that while the Laplace and
Alternative Laplace distributions are best suited for symmetric data, the
Transmuted and Asymmetric Laplace distributions excel in handling skewness and
asymmetric tails. The findings provide practical insights for researchers and
practitioners, offering guidance on selecting the most appropriate distribution
variant based on data characteristics. This study advances the understanding of
Laplace distribution variants, presenting them as valuable tools in statistical
and econometric modelling.
Download
Pages:5-9
How to cite this article:
Okafor S O, Aronu C O, Ugwu N D "A comparative study of selected Laplace distribution variants for statistical modelling". International Journal of Advanced Scientific Research, Vol 10, Issue 1, 2025, Pages 5-9
Download Author Certificate
Please enter the email address corresponding to this article submission to download your certificate.