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Personal handwritten notes on the foundations of statistics in logically clear and concise form. Each separate file can be used as a cheat sheet on the relevant subject.

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1 Univariate Random Variable.pdf
1 Univariate Random Variable.pdf
 
 
2a Bivariate Random Variables.pdf
2a Bivariate Random Variables.pdf
 
 
2b Uncorrelated VS Independent variables.pdf
2b Uncorrelated VS Independent variables.pdf
 
 
3a Estimators_Bias&Mean Squared Error(MSE), Analog-Estimator.pdf
3a Estimators_Bias&Mean Squared Error(MSE), Analog-Estimator.pdf
 
 
3b Estimators of μ and σ.pdf
3b Estimators of μ and σ.pdf
 
 
3c Estimators Accuracy(Chebyshev&Kolmogorov inequalitiy).pdf
3c Estimators Accuracy(Chebyshev&Kolmogorov inequalitiy).pdf
 
 
4a Consistency of sample mean_Weak Law of large Numbers(WLLN).pdf
4a Consistency of sample mean_Weak Law of large Numbers(WLLN).pdf
 
 
4b Strong Law of Large Numbers(SLLN).pdf
4b Strong Law of Large Numbers(SLLN).pdf
 
 
4c Distribution of estimators.pdf
4c Distribution of estimators.pdf
 
 
4d Asymptotic distribution of (Normalized) Sample Mean_Central Limit Theorem(CLT).pdf
4d Asymptotic distribution of (Normalized) Sample Mean_Central Limit Theorem(CLT).pdf
 
 
4e Functions of (Normalized) Sample Mean_Continuous Maping Theorem(CMT)&Delta Method.pdf
4e Functions of (Normalized) Sample Mean_Continuous Maping Theorem(CMT)&Delta Method.pdf
 
 
4f WLLN, CLT and Delta Method for general analog-estimators.pdf
4f WLLN, CLT and Delta Method for general analog-estimators.pdf
 
 
5a Random Vectors_ Expectation and Covariance Matrix.pdf
5a Random Vectors_ Expectation and Covariance Matrix.pdf
 
 
5b Random Vectors_Independence & Correlation.pdf
5b Random Vectors_Independence & Correlation.pdf
 
 
5c Random Vectors_Multivariate Normal.pdf
5c Random Vectors_Multivariate Normal.pdf
 
 
5d Random Vectors_ Estimators.pdf
5d Random Vectors_ Estimators.pdf
 
 
5e Random Vectors_WLLN,CLT,Delta Method.pdf
5e Random Vectors_WLLN,CLT,Delta Method.pdf
 
 
6a Maximum_Likelihood_Estimator(MLE).pdf
6a Maximum_Likelihood_Estimator(MLE).pdf
 
 
6b Calculation, Bias and Variance of MLE.pdf
6b Calculation, Bias and Variance of MLE.pdf
 
 
6c Concistency & Asymptotic disstibution of MLE.pdf
6c Concistency & Asymptotic disstibution of MLE.pdf
 
 
6d MLE under Model Misspecification.pdf
6d MLE under Model Misspecification.pdf
 
 
7a Hypothesis Testing_General Notions.pdf
7a Hypothesis Testing_General Notions.pdf
 
 
7b Hypothesis Testing_t-tests & Likelihood Ratio-tests.pdf
7b Hypothesis Testing_t-tests & Likelihood Ratio-tests.pdf
 
 

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Personal handwritten notes on the foundations of statistics in logically clear and concise form. Each separate file can be used as a cheat sheet on the relevant subject.

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