commit c0960c2427527e84db8db5a0224ca9a84428865c
parent f8bd11d4f8cf8c8b3ed1d17367f9bed9b70c9afd
Author: Andrew <andrewlaack1@gmail.com>
Date: Wed, 29 May 2024 21:23:14 -0500
Started notes on stats
Diffstat:
4 files changed, 44 insertions(+), 0 deletions(-)
diff --git a/Probability.md b/Probability.md
@@ -0,0 +1,18 @@
+:stats:
+# Probability (probability measure)
+
+Stats CH1
+
+## Notes
+
+**Definition:** The probability is the likelihood of something happening as a percentage between 0 and 1 or 0% and 100%.
+
+Let X be a set and F a set of subsets of X. A probability on (X,F) is a function u : F -> [0,1]. This means for each set in F we have a probability between 0 and 1 for each set. See [[SetFunction.md]] for more about the u (mu greek character) function.
+
+The probability function must be a set function, but that is not sufficient. We also need for u(0) where 0 is the empty set to be equal to 0. We also need u(X) = 1 (totaling 100%), and if A and B are disjoint sets then u(A union B) = u(A) + u(B). This final part means the probability of the union of two different sets is equal to the sum of the probabilities of both sets individually.
+
+When we have a domain that is finite we then state we have a discrete probability whereas when we have an interval then the function is said to be a continuous probability.
+
+In practical terms, for u(X) X is the set off outcomes that are possible and the function returns the probability of said outcome.
+
+**Sometimes we use u({1}) but often we use P(1) to describe the probability of 1. Notice that u({1}) takes in a set whereas P(1) does not require such statements.**
diff --git a/SetFunction.md b/SetFunction.md
@@ -0,0 +1,10 @@
+:stats:
+# Set Function
+
+Stats CH1
+
+## Notes
+
+**Definition:** A set function is a function defined as u : X -> Y where X is a collection of sets and Y is anything.
+
+Basically, a set function takes in a collection of sets (set of sets) and outputs a something that may be an element or set or whatever. In the context of stats it is often that the mu (greek u) takes in a subset of sets and outputs a probability of each set.
diff --git a/Statistics.md b/Statistics.md
@@ -0,0 +1,14 @@
+:stats:
+# Statistics
+
+Links to Stats Notes
+
+## Questions I would like to answer
+
+1. How do I create linear regression models with formulas and why does it work?
+
+## Main Links
+
+[[Probability.md]]
+[[SetFunction.md]]
+
diff --git a/index.md b/index.md
@@ -15,6 +15,7 @@ This is the index for my main note classifications. I will maintain this as a ho
[[ComputerArchitecture.md]]
[[MachineLearning.md]]
+[[Statistics.md]]
[[LinuxStuff.md]]
[[ModelNotes.md]]
@@ -23,3 +24,4 @@ This is the index for my main note classifications. I will maintain this as a ho
- [ ] "The Structure of Scientific Revolutions" - Thomas Kuhn
- [ ] "Introduction to Computing Systems" - Patt and Patel
- [ ] "Hands-On Machine Learning with Scikit-Learn and TensorFlow" - Aurelien Geron
+- [ ] ""
