diff --git a/assets/section_2.4_1686920705980_0.edn b/assets/section_2.4_1686920705980_0.edn index 445120b..c9ae4b5 100644 --- a/assets/section_2.4_1686920705980_0.edn +++ b/assets/section_2.4_1686920705980_0.edn @@ -152,4 +152,4 @@ :page 27}, :content {:text "[:span]", :image 1686922716232}, :properties {:color "yellow"}}], - :extra {:page 28}} + :extra {:page 29}} diff --git a/pages/总复习2023t1.md b/pages/总复习2023t1.md index ca22df3..2b03783 100644 --- a/pages/总复习2023t1.md +++ b/pages/总复习2023t1.md @@ -2719,6 +2719,7 @@ - ((648c2de1-d9a7-4760-bb4f-beec4b41102c)) - ((648c488f-85fa-4203-8092-07176b38fce9)) - 公式法 #flashcard + id:: 648c4893-5e69-41dc-95a4-090a06cd1735 collapsed:: true - ((648c48ac-76be-4848-af0d-1532467c8d68)) - Mathematical Expectation and Variance ![section 2.3.pdf](../assets/section_2.3_1686916498071_0.pdf) @@ -2726,12 +2727,15 @@ - Expectation collapsed:: true - Definitions :-> ((648c4e9e-5515-4da3-bc6b-39d6969f5f14)) + id:: 648c4e9f-7b40-4df5-ab81-e6eb49536831 - Examples: collapsed:: true - ((648c5298-fb84-4e9c-b816-7df1a7ad9a66)) #flashcard + id:: 648c52b8-5174-4dfc-8954-d58b27893865 collapsed:: true - ((648c52d9-ea03-4835-8080-52ba5e6c3122)) - 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 - ((648c5381-49cd-4701-ba48-31c0e21474a7)) - Properties: @@ -2756,17 +2760,21 @@ - Examples collapsed:: true - ((648c5b1c-533d-434a-b118-6a61cc9abb3a)) #flashcard + id:: 648c5ae4-9e42-4c55-86d0-b0a19dfcb4dc collapsed:: true - ((648c5b30-e75f-4f0c-bb7d-985442728fbe)) - LATER Moments of random variable collapsed:: true - Definition :-> ((648c5c3a-160a-41ff-9cc7-83e750e3e8fa)) + id:: 648c5c30-6a99-41f4-be4c-e5e22387647a - Application of Expectation and Variation collapsed:: true - *Markov's inequality*: when **only mean** is known #flashcard + id:: 648c5c5c-623c-43de-b750-b997db48e6dd collapsed:: true - ((648c5c6f-d6b4-4c65-b9a4-9f51f93f86ad)) - *Chebyshev's inequality*: when **mean an variance are** known #flashcard + id:: 648c5c71-3ec9-47db-8433-e1325b3a8c20 collapsed:: true - ((648c5c81-d93b-4859-9ee0-37cceb8fd100)) - **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) - Binomial Distribution - Definition: #flashcard + id:: 648c5ef0-fd5e-4f17-9e2d-fde0c67e53c6 - ((648c5fc2-c838-473b-9b29-f238ae3a96ca)) - ((648c5f9a-646f-4eea-9d03-597d8598f752)) - ((648c5fa8-25a4-47ba-a285-e9399f719543)) - Properties: - mean, variance :-> ((648c6007-c181-4e85-9a88-046841e6739d)) + id:: 648c6001-da22-465c-95f1-51a7e5292cb3 - Examples: collapsed:: true - ((648c62d4-454b-43ab-88a8-d35a5a867523)) - ((648c63b8-21ff-42d4-ad87-70c706124ba1)) - LATER Poisson limit theorem #flashcard (when n is infinity, this become Poisson distribution) + id:: 648c63bc-2465-42e5-833f-abd152201631 - ((648c63da-deea-42ab-8f72-f3219d4fecbc)) - Poisson distribution - Definition: :-> ((648c653d-ed40-4938-9124-cf4c2c296867)) + id:: 648c6510-49a0-4673-bf16-4cf9f47efa14 - Use cases: collapsed:: true - ((648c65ba-0f8f-4371-a52e-e78e8b3ae512)) - Properties: - Variance, mean :-> ((648c65dd-356b-4209-85ae-e881033fcea8)) + id:: 648c65d1-7592-43f7-a12c-d96d9e76a492 - LATER 学积分 :LOGBOOK: CLOCK: [2023-06-03 Sat 17:05:07]--[2023-06-03 Sat 17:05:08] => 00:00:01