On Some Characterization of Logistic Distribution

Key Points

• To propose a new characterization of the logistic distribution through the property of identical distribution.
• Analyzed the mathematical properties of logistic distribution
• Explored the concept of identical distribution of linear forms
• Developed theoretical proofs to support the characterization
• Introduced a new perspective on the logistic distribution
• Confirmed that two linear forms can maintain identical distribution under certain conditions
• Provided a theoretical foundation for further research on statistical properties of the logistic distribution