78.數大就是美?中央極限定理.kbc23. episode artwork

EPISODE · Feb 7, 2025 · 21 MIN

78.數大就是美?中央極限定理.kbc23.

from YesKno時間 · host Kno Tsao

數學符號梢多,請參考 Shownotes.在同一模式/分配下,當樣本數趨近於無限大,獨立抽樣(realized sample)的直方圖(histogram) 趨近於該分配(pmf or pdf) 也不見得是常態。這個敘述,並不是中央極限定理。而僅是說明 pmf/pdf 可以視為一個標準化後直方圖的極限;或是如何透過資料來了估計/了解他們。在同一模式/分配下,當樣本數趨近於無限大,獨立抽樣平均的直方圖趨近於常態. 注意:要讓實驗次數 K 夠多,這些 K 個 $\bar{x}$ 的直方圖,才會顯現出$\bar{X}$的分配。 這裡有兩個極限,這也是中央極限定理讓人困擾的一個地方。ykt 11. (kbc 01) 大數法則與中央極限定理- Kno外掛之ㄧ [Shownotes](https://chtsao.gitlab.io/pmod/posts/ykt.078.kbc23.clt/) 歡迎指教 --Hosting provided by SoundOn

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