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@ -189,5 +189,17 @@
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:rects (),
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:page 42},
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:content {:text "[:span]", :image 1686973793408},
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:properties {:color "yellow"}}
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{:id #uuid "648d2dcb-a1da-4b22-99c8-ddcc0f059cff",
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:page 46,
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:rects (),
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:properties {:color "yellow"}}],
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:extra {:page 46}}
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@ -112,4 +112,11 @@ file-path:: ../assets/section_2.5_1686968005870_0.pdf
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hl-color:: yellow
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id:: 648d2d62-f5e5-491f-ae12-e9638ee75f7c
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hl-type:: area
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hl-stamp:: 1686973793408
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hl-stamp:: 1686973793408
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- [:span]
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ls-type:: annotation
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hl-page:: 46
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hl-color:: yellow
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id:: 648d2dcb-a1da-4b22-99c8-ddcc0f059cff
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hl-type:: area
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hl-stamp:: 1686973897800
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@ -2720,6 +2720,7 @@
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- ((648c48ac-76be-4848-af0d-1532467c8d68))
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- Mathematical Expectation and Variance ![section 2.3.pdf](../assets/section_2.3_1686916498071_0.pdf)
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- Expectation
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collapsed:: true
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- Definitions :-> ((648c4e9e-5515-4da3-bc6b-39d6969f5f14))
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id:: 648c4e9f-7b40-4df5-ab81-e6eb49536831
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- Examples:
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@ -2730,22 +2731,29 @@
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- ((648c52d9-ea03-4835-8080-52ba5e6c3122))
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- Expectation of compound **functions**: (Expectation of Functions of a Random Variable) (Replace $$x$$ with $$g(x)$$) #flashcard
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id:: 648c52dc-1cfe-4c05-888a-d8ddff10c24e
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collapsed:: true
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- ((648c5381-49cd-4701-ba48-31c0e21474a7))
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- Properties:
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collapsed:: true
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- ((648c568e-c617-4699-b217-fd4e8ea205bc))
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- Linerarity:
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((648c569c-e3d0-445d-acf6-caf0e271f7be))
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- Variance
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collapsed:: true
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- Definition:
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collapsed:: true
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- ((648c57b6-225a-4926-9ce1-8d0e7aae1391))
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- Alternative calculation:
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collapsed:: true
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- ((648c580f-8ccb-4fd3-bc0d-24ab109f240d))
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- ((648c57d7-8f76-4520-8bc0-b54953bbe4cf))
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- Standard variance: ((648c57e8-e79a-48b6-98cf-f68dc0e5277e))
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- Properties
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collapsed:: true
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- ((648c5982-4b4f-4935-ad4f-de93462bc564))
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- ((648c5a58-62da-4c15-b22d-00e839b8f909))
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- Examples
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collapsed:: true
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- ((648c5b1c-533d-434a-b118-6a61cc9abb3a)) #flashcard
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id:: 648c5ae4-9e42-4c55-86d0-b0a19dfcb4dc
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collapsed:: true
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@ -2755,6 +2763,7 @@
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- Definition :-> ((648c5c3a-160a-41ff-9cc7-83e750e3e8fa))
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id:: 648c5c30-6a99-41f4-be4c-e5e22387647a
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- Application of Expectation and Variation
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collapsed:: true
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- *Markov's inequality*: when **only mean** is known #flashcard
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id:: 648c5c5c-623c-43de-b750-b997db48e6dd
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collapsed:: true
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@ -2847,8 +2856,8 @@
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collapsed:: true
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- ((648d2cfd-2cef-48d2-b791-e5ac01e43fd8))
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-
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- ==Summary== #flashcard
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-
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- ==Summary== #flashcard Bernoulli, Binomial, Geometric, Poisson, Uniform, Exponential, Normal
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- ((648d2dcb-a1da-4b22-99c8-ddcc0f059cff))
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-
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-
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- LATER 学积分
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