{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Slides Econ140A Review of Statistics

# Slides Econ140A Review of Statistics - Goals Review of...

This preview shows pages 1–3. Sign up to view the full content.

9/9/2011 1 Review of Statistics Copyright Dick Startz 1 Goals Reminder about math notation Trivial facts from algebra and calculus pdf and cdf Expected value and variance Long list of rules from mathematical statistics Copyright Dick Startz 2 Math to bring back warm memories of childhood ? + ? 2 = ? 2 + ? 2 + 2?? ? 1 + ? 2 2 = ? 1 2 + ? 2 2 + 2? 1 ? 2 Copyright Dick Startz 3 …and early adolescence ? 𝑖 2 𝑖=1 2 = ? 1 + ? 2 2 ? 𝑖 2 = ? 1 + ? 2 2 ? 2 = ? 1 + ? 2 2 Copyright Dick Startz 4 Summation notation again ? 𝑖 𝑛 𝑖=1 = ? 1 + ? 2 + ⋯ + ? 𝑛 ? Copyright Dick Startz 5 Distributive property ? 𝑖 ? 𝑖 2 = ? 1 ? 1 + ? 2 ? 2 + ⋯ ? 𝑛 ? 𝑛 2 = ? 1 2 ? 1 2 + ? 1 ? 2 ? 1 ? 2 + ⋯ ? 1 ? 𝑛 ? 1 ? 𝑛 +? 2 ? 1 ? 2 ? 1 + ? 2 2 ? 2 2 + ⋯ + ? 2 ? 𝑛 ? 2 ? 𝑛 +? 𝑛 ? 1 ? 𝑛 ? 1 + ? 𝑛 ? 2 ? 𝑛 ? 2 + ⋯ + ? 𝑛 2 ? 𝑛 2 Copyright Dick Startz 6

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
9/9/2011 2 ? = ∑?? ∑? 2 ? = ? 1 ? 1 + ? 2 ? 2 + ⋯ + ? 𝑛 ? 𝑛 ? 1 2 + ? 2 2 + ⋯ + ? 𝑛 2 Copyright Dick Startz 7 From calculus ? ? = ? 0 + ? 1 ? + 1 2 ? 2 ? 2 𝜕? 𝜕? = ? 1 + ? 2 ? Copyright Dick Startz 8 example ? 𝜇 = ? 𝑖 − 𝜇 2 𝜕? 𝜕𝜇 = −2 ? 𝑖 − 𝜇 0 = −2(∑? − ?𝜇 ) 𝜇 = arg min 𝜇 ? 𝑖 − 𝜇 2 𝑛 𝑖=1 = ∑? ? Copyright Dick Startz 9 logs ? = log ?
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 6

Slides Econ140A Review of Statistics - Goals Review of...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online