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KARL'S STUDY BLOG


Comparison of Ridge Regression and OLS
This post will visualize how ridge regression outperforms OLS estimators. The figures and code of this post come from a group work in...
Karl 曹
Jun 6, 20227 min read
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The Coefficients' Shrinkage Path of Ridge Regression
For ridge regression, it uses a shrinkage method by adding penalty on estimated coefficients. Usually ridge regression could deal with...
Karl 曹
Jun 5, 20224 min read
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Compare LDA and Logistic Regression(2)
LDA assumes the distribution of x is normal, and it estimates the mean and variance by: and estimates the basic probability of class k...
Karl 曹
May 22, 20227 min read
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Compare LDA and Logistic Regression(1)
Here we state the initial setting: We assume we have two classes, call them Class 1 and Class 2, obs. for class 1 is 300, and obs. for...
Karl 曹
May 20, 20222 min read
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Compare the Confidence Intervals' Accuracy between OLS and Bootstrap
Initial setting: X belongs to a normal distribution, mean at 0 and select some variance sigma^2. Error term belongs to standard normal...
Karl 曹
May 17, 20228 min read
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Two Types of Confidence Interval for Bootstrap
The regular precentile confidence interval for bootstrap result is easy, we just pick alpha/2 and 1 - alpha/2 quantile of estrimated...
Karl 曹
May 16, 20221 min read
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Short Logistic Maximum Likelihood Function Derivation
Logistic maximum likelihood function(for binary response) in product form is not popular, here is a derivation from product form to sum...
Karl 曹
May 16, 20221 min read
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