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Ryan 2023-06-16 21:40:41 +08:00
parent 7954db71ce
commit 1af45bc887
2 changed files with 14 additions and 1 deletions

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@ -152,4 +152,4 @@
:page 27}, :page 27},
:content {:text "[:span]", :image 1686922716232}, :content {:text "[:span]", :image 1686922716232},
:properties {:color "yellow"}}], :properties {:color "yellow"}}],
:extra {:page 28}} :extra {:page 29}}

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@ -2719,6 +2719,7 @@
- ((648c2de1-d9a7-4760-bb4f-beec4b41102c)) - ((648c2de1-d9a7-4760-bb4f-beec4b41102c))
- ((648c488f-85fa-4203-8092-07176b38fce9)) - ((648c488f-85fa-4203-8092-07176b38fce9))
- 公式法 #flashcard - 公式法 #flashcard
id:: 648c4893-5e69-41dc-95a4-090a06cd1735
collapsed:: true collapsed:: true
- ((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)
@ -2726,12 +2727,15 @@
- Expectation - Expectation
collapsed:: true collapsed:: true
- Definitions :-> ((648c4e9e-5515-4da3-bc6b-39d6969f5f14)) - Definitions :-> ((648c4e9e-5515-4da3-bc6b-39d6969f5f14))
id:: 648c4e9f-7b40-4df5-ab81-e6eb49536831
- Examples: - Examples:
collapsed:: true collapsed:: true
- ((648c5298-fb84-4e9c-b816-7df1a7ad9a66)) #flashcard - ((648c5298-fb84-4e9c-b816-7df1a7ad9a66)) #flashcard
id:: 648c52b8-5174-4dfc-8954-d58b27893865
collapsed:: true collapsed:: true
- ((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
collapsed:: true collapsed:: true
- ((648c5381-49cd-4701-ba48-31c0e21474a7)) - ((648c5381-49cd-4701-ba48-31c0e21474a7))
- Properties: - Properties:
@ -2756,17 +2760,21 @@
- Examples - Examples
collapsed:: true collapsed:: true
- ((648c5b1c-533d-434a-b118-6a61cc9abb3a)) #flashcard - ((648c5b1c-533d-434a-b118-6a61cc9abb3a)) #flashcard
id:: 648c5ae4-9e42-4c55-86d0-b0a19dfcb4dc
collapsed:: true collapsed:: true
- ((648c5b30-e75f-4f0c-bb7d-985442728fbe)) - ((648c5b30-e75f-4f0c-bb7d-985442728fbe))
- LATER Moments of random variable - LATER Moments of random variable
collapsed:: true collapsed:: true
- Definition :-> ((648c5c3a-160a-41ff-9cc7-83e750e3e8fa)) - Definition :-> ((648c5c3a-160a-41ff-9cc7-83e750e3e8fa))
id:: 648c5c30-6a99-41f4-be4c-e5e22387647a
- Application of Expectation and Variation - Application of Expectation and Variation
collapsed:: true 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
collapsed:: true collapsed:: true
- ((648c5c6f-d6b4-4c65-b9a4-9f51f93f86ad)) - ((648c5c6f-d6b4-4c65-b9a4-9f51f93f86ad))
- *Chebyshev's inequality*: when **mean an variance are** known #flashcard - *Chebyshev's inequality*: when **mean an variance are** known #flashcard
id:: 648c5c71-3ec9-47db-8433-e1325b3a8c20
collapsed:: true collapsed:: true
- ((648c5c81-d93b-4859-9ee0-37cceb8fd100)) - ((648c5c81-d93b-4859-9ee0-37cceb8fd100))
- **Usage** of Markov's inequality and Chebyshev's inequality - **Usage** of Markov's inequality and Chebyshev's inequality
@ -2778,24 +2786,29 @@
- ((648c5e0c-b0b1-4129-b172-3ff95ff4a41c)) and ((648c5e26-8a90-4db2-919f-356a164e5a2b)) ![section 2.4.pdf](../assets/section_2.4_1686920705980_0.pdf) - ((648c5e0c-b0b1-4129-b172-3ff95ff4a41c)) and ((648c5e26-8a90-4db2-919f-356a164e5a2b)) ![section 2.4.pdf](../assets/section_2.4_1686920705980_0.pdf)
- Binomial Distribution - Binomial Distribution
- Definition: #flashcard - Definition: #flashcard
id:: 648c5ef0-fd5e-4f17-9e2d-fde0c67e53c6
- ((648c5fc2-c838-473b-9b29-f238ae3a96ca)) - ((648c5fc2-c838-473b-9b29-f238ae3a96ca))
- ((648c5f9a-646f-4eea-9d03-597d8598f752)) - ((648c5f9a-646f-4eea-9d03-597d8598f752))
- ((648c5fa8-25a4-47ba-a285-e9399f719543)) - ((648c5fa8-25a4-47ba-a285-e9399f719543))
- Properties: - Properties:
- mean, variance :-> ((648c6007-c181-4e85-9a88-046841e6739d)) - mean, variance :-> ((648c6007-c181-4e85-9a88-046841e6739d))
id:: 648c6001-da22-465c-95f1-51a7e5292cb3
- Examples: - Examples:
collapsed:: true collapsed:: true
- ((648c62d4-454b-43ab-88a8-d35a5a867523)) - ((648c62d4-454b-43ab-88a8-d35a5a867523))
- ((648c63b8-21ff-42d4-ad87-70c706124ba1)) - ((648c63b8-21ff-42d4-ad87-70c706124ba1))
- LATER Poisson limit theorem #flashcard (when n is infinity, this become Poisson distribution) - LATER Poisson limit theorem #flashcard (when n is infinity, this become Poisson distribution)
id:: 648c63bc-2465-42e5-833f-abd152201631
- ((648c63da-deea-42ab-8f72-f3219d4fecbc)) - ((648c63da-deea-42ab-8f72-f3219d4fecbc))
- Poisson distribution - Poisson distribution
- Definition: :-> ((648c653d-ed40-4938-9124-cf4c2c296867)) - Definition: :-> ((648c653d-ed40-4938-9124-cf4c2c296867))
id:: 648c6510-49a0-4673-bf16-4cf9f47efa14
- Use cases: - Use cases:
collapsed:: true collapsed:: true
- ((648c65ba-0f8f-4371-a52e-e78e8b3ae512)) - ((648c65ba-0f8f-4371-a52e-e78e8b3ae512))
- Properties: - Properties:
- Variance, mean :-> ((648c65dd-356b-4209-85ae-e881033fcea8)) - Variance, mean :-> ((648c65dd-356b-4209-85ae-e881033fcea8))
id:: 648c65d1-7592-43f7-a12c-d96d9e76a492
- LATER 学积分 - LATER 学积分
:LOGBOOK: :LOGBOOK:
CLOCK: [2023-06-03 Sat 17:05:07]--[2023-06-03 Sat 17:05:08] => 00:00:01 CLOCK: [2023-06-03 Sat 17:05:07]--[2023-06-03 Sat 17:05:08] => 00:00:01