Statistical inference and applications of a new transforming weibull distribution.

1 , the PDF image exhibits a decreasing trend, while the CDF image shows a consistent monotonic increasing characteristic, revealing the process of probability accumulation.

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ts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha$$\end{document} increases, the Rényi entropy, Mathai-Haubold entropy, and Arimoto entropy all show a decreasing trend, while the Q-entropy shows an increasing trend.

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