https://cuicaihao.github.io/tags/statistics/Recent content in Statistics on C.CUI's LogHugoen-AUThu, 30 Apr 2026 09:24:43 +1000https://cuicaihao.github.io/posts/2026-04-30-regression-to-the-mean-decision-making/Thu, 30 Apr 2026 09:24:43 +1000https://cuicaihao.github.io/posts/2026-04-30-regression-to-the-mean-decision-making/<p>Daniel Kahneman, the Nobel laureate in economics and one of the founding fathers of decision science, shared a compelling story in his book <em>Thinking, Fast and Slow</em> [1].</p> <p>Kahneman was once conducting a training session for the Israeli Air Force. He presented a viewpoint well-known in psychology: rewarding good performance is far more effective than punishing mistakes. There is a vast amount of research supporting this [2], whether you are educating children, training athletes, or even teaching animals in a circus; positive reinforcement should be the primary approach.</p>https://cuicaihao.github.io/posts/2026-02-02-heavy-tail-world-obeys-extreme-values/Mon, 02 Feb 2026 11:00:00 +1000https://cuicaihao.github.io/posts/2026-02-02-heavy-tail-world-obeys-extreme-values/A deep dive into the &lsquo;heavy-tailed distribution&rsquo; and why our world is governed by extreme outliers rather than averages. It explores the difference between the &lsquo;additive world&rsquo; and the &lsquo;multiplicative world,&rsquo; explaining how positive feedback loops create the massive disparities we see in wealth, fame, and scientific progress.