The Zero-Adjusted Log-Symmetric Distributions: Point and Intervalar Estimation

Abstract

Abstract In this paper, a new class of semi-continuous distributions called zero-adjusted log-symmetric is introduced and studied. Some properties and parameters estimation by maximum likelihood method are derived and confidence intervals (CIs) are developed. A simulation study is conducted to evaluate properties of the maximum likelihood estimators in lighter/heavier-tailed distributions. Finally, an application in a real data set is presented to illustrate the flexibility of the proposed class of distributions.

Keywords

• lighter/heavier-tailed distributions
• maximum likelihood method
• semi-continuous distributions
• zero true value