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Ryan 2023-06-17 11:52:24 +08:00
parent 6ca1d4292c
commit 6a86edf985
4 changed files with 31 additions and 3 deletions

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@ -189,5 +189,17 @@
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@ -113,3 +113,10 @@ file-path:: ../assets/section_2.5_1686968005870_0.pdf
id:: 648d2d62-f5e5-491f-ae12-e9638ee75f7c id:: 648d2d62-f5e5-491f-ae12-e9638ee75f7c
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@ -2720,6 +2720,7 @@
- ((648c48ac-76be-4848-af0d-1532467c8d68)) - ((648c48ac-76be-4848-af0d-1532467c8d68))
- Mathematical Expectation and Variance ![section 2.3.pdf](../assets/section_2.3_1686916498071_0.pdf) - Mathematical Expectation and Variance ![section 2.3.pdf](../assets/section_2.3_1686916498071_0.pdf)
- Expectation - Expectation
collapsed:: true
- Definitions :-> ((648c4e9e-5515-4da3-bc6b-39d6969f5f14)) - Definitions :-> ((648c4e9e-5515-4da3-bc6b-39d6969f5f14))
id:: 648c4e9f-7b40-4df5-ab81-e6eb49536831 id:: 648c4e9f-7b40-4df5-ab81-e6eb49536831
- Examples: - Examples:
@ -2730,22 +2731,29 @@
- ((648c52d9-ea03-4835-8080-52ba5e6c3122)) - ((648c52d9-ea03-4835-8080-52ba5e6c3122))
- Expectation of compound **functions**: (Expectation of Functions of a Random Variable) (Replace $$x$$ with $$g(x)$$) #flashcard - Expectation of compound **functions**: (Expectation of Functions of a Random Variable) (Replace $$x$$ with $$g(x)$$) #flashcard
id:: 648c52dc-1cfe-4c05-888a-d8ddff10c24e id:: 648c52dc-1cfe-4c05-888a-d8ddff10c24e
collapsed:: true
- ((648c5381-49cd-4701-ba48-31c0e21474a7)) - ((648c5381-49cd-4701-ba48-31c0e21474a7))
- Properties: - Properties:
collapsed:: true
- ((648c568e-c617-4699-b217-fd4e8ea205bc)) - ((648c568e-c617-4699-b217-fd4e8ea205bc))
- Linerarity: - Linerarity:
((648c569c-e3d0-445d-acf6-caf0e271f7be)) ((648c569c-e3d0-445d-acf6-caf0e271f7be))
- Variance - Variance
collapsed:: true
- Definition: - Definition:
collapsed:: true
- ((648c57b6-225a-4926-9ce1-8d0e7aae1391)) - ((648c57b6-225a-4926-9ce1-8d0e7aae1391))
- Alternative calculation: - Alternative calculation:
collapsed:: true
- ((648c580f-8ccb-4fd3-bc0d-24ab109f240d)) - ((648c580f-8ccb-4fd3-bc0d-24ab109f240d))
- ((648c57d7-8f76-4520-8bc0-b54953bbe4cf)) - ((648c57d7-8f76-4520-8bc0-b54953bbe4cf))
- Standard variance: ((648c57e8-e79a-48b6-98cf-f68dc0e5277e)) - Standard variance: ((648c57e8-e79a-48b6-98cf-f68dc0e5277e))
- Properties - Properties
collapsed:: true
- ((648c5982-4b4f-4935-ad4f-de93462bc564)) - ((648c5982-4b4f-4935-ad4f-de93462bc564))
- ((648c5a58-62da-4c15-b22d-00e839b8f909)) - ((648c5a58-62da-4c15-b22d-00e839b8f909))
- Examples - Examples
collapsed:: true
- ((648c5b1c-533d-434a-b118-6a61cc9abb3a)) #flashcard - ((648c5b1c-533d-434a-b118-6a61cc9abb3a)) #flashcard
id:: 648c5ae4-9e42-4c55-86d0-b0a19dfcb4dc id:: 648c5ae4-9e42-4c55-86d0-b0a19dfcb4dc
collapsed:: true collapsed:: true
@ -2755,6 +2763,7 @@
- Definition :-> ((648c5c3a-160a-41ff-9cc7-83e750e3e8fa)) - Definition :-> ((648c5c3a-160a-41ff-9cc7-83e750e3e8fa))
id:: 648c5c30-6a99-41f4-be4c-e5e22387647a id:: 648c5c30-6a99-41f4-be4c-e5e22387647a
- Application of Expectation and Variation - Application of Expectation and Variation
collapsed:: true
- *Markov's inequality*: when **only mean** is known #flashcard - *Markov's inequality*: when **only mean** is known #flashcard
id:: 648c5c5c-623c-43de-b750-b997db48e6dd id:: 648c5c5c-623c-43de-b750-b997db48e6dd
collapsed:: true collapsed:: true
@ -2847,8 +2856,8 @@
collapsed:: true collapsed:: true
- ((648d2cfd-2cef-48d2-b791-e5ac01e43fd8)) - ((648d2cfd-2cef-48d2-b791-e5ac01e43fd8))
- -
- ==Summary== #flashcard - ==Summary== #flashcard Bernoulli, Binomial, Geometric, Poisson, Uniform, Exponential, Normal
- - ((648d2dcb-a1da-4b22-99c8-ddcc0f059cff))
- -
- -
- LATER 学积分 - LATER 学积分