E4) Unbiased Estimator

A1) Mutually Exclusive vs Independent Events

A2) Conditional Probability Formula for Independent Events

A3) Law of Large Numbers (LLN)

A4) If you test positive for cancer, what is the probability that you in fact has cancer?

A5) Are Disjoint Events Independent?

B1) What is a Random Variable?

B2) Expected Value of a Random Variable

B3) Random Variable: Variance and Standard Deviation

B4) Prove that E(cX) = cE(X)

B5) Prove that Var(cX)=ccVar(X)

B6) Var(X)=E(X^2)-[E(X)]^2

B7) Bernoulli Random Variable

C1) Random Variables: Mean and Standard Deviation

C2) Covariance vs Variance

C3) Correlation vs Covariance

C4) Cov(X,Y)=E(XY)-E(X)E(Y)

C5) If X and Y are independent, then Cov(X,Y)=0

C6) Var(X+Y)=Var(X)+Var(Y)+2Cov(X,Y)

D1) Standard Normal Distribution

D2) What is z-score?

D3) What means independent and identically distributed (iid)?

D4) Central Limit Theorem (CLT)

E1) Population Parameter vs Sample Statistic

E2) Standard Error of the Mean

E3) Random Sample

E4) Unbiased Estimator

F1) 95% Confidence Interval for Proportion (p)

F2) Normal vs Student’s t-distribution

F3) Confidence Interval for a Population Mean

F4) Margin of Error

G1) Null vs Alternative Hypothesis

G2) Type I vs Type II Errors

G3) Z-test for a Proportion

G4) T-test for the Mean

H1) Randomized Experiment

H2) Two-Sample t-Test in Python

H3) Two-Sample z-Test in Python

[yahiaabdelbar]

The unbiased estimator was very influential in showing the tremendous efforts done by the Swiss mathematician Jacob Bernoulli in probability theory and statistics

[lauran]

This was helpful in learning more about unbiased estimators, I wonder what the statistical margin of error is with this and how it is calculated?

[nnyeneimeusenata]

Quite illuminating. Can other properties of being Best and Linear of the estimator be applied to python?

[stephanieprice-cummings]

Will we be discussing or learning to code using the Poisson distribution?

[KMFAclan]

Exactly what would be the difference between a consistent estimator and an unbiased estimator?

[nifemiadegbulugbe]

How realistic is getting an unbiased estimator in real world scenarios?