Lecture 1 exercises and typo fixes in Lectures 1-3

[wiso]

Summary

• Lecture 1: three new exercise cells, without solutions:
  • The distribution of the p-value (after the question on the p-value distribution under H0): gaussian vs Poisson toys, why discrete tests are conservative.
  • Categorization pays off (after the median expected significance exercise): $Z_A$ per category, merged, and combined with a joint likelihood; additivity of $-2\ln\lambda$ on the Asimov dataset.
  • Bias of maximum likelihood estimators (after the $\sqrt{s^2}$ bias example): $\hat\tau=\bar t$ unbiased, $\hat\lambda=1/\bar t$ biased.
• Lectures 1-3: spelling and grammar fixes (Exercize, explicitely, hypotesis, significace, "than" → "then", "Let find" → "Let's find", ...), correct ROOT class names in the text (AsymptoticCalculator, SetOneSidedDiscovery), and rename get_confiderence_poisson → get_confidence_poisson (definition and both call sites).

Only markdown text, comments and that one function name change; no logic changes.

Test plan

• All code cells compile
• aspell on the markdown/comments reports only identifiers
• CI runs the modified notebooks

🤖 Generated with Claude Code

[Copilot]

Copilot review overview

🟡 Changes recommended

One moderate correctness issue and several remaining prose issues are unresolved.

Review effort: Lite
Findings: 1

Open (1)

• Fix the Theta distribution question · New

What changed in this PR

Adds three Lecture 1 exercises and corrects spelling, grammar, ROOT references, and a helper-function name across Lectures 1–3.

Changes:

• Added exercises on p-value distributions, categorization, and MLE bias.
• Corrected lecture prose and comments.
• Renamed get_confiderence_poisson consistently.

File	Review notes
Lecture3.ipynb	Remaining grammar and wording issues at lines 976/2430, 993, 1010, and 1947.
Lecture2.ipynb	Remaining fragment, notation ambiguity, and subject–verb agreement issues at lines 317, 808, and 812.
Lecture1.ipynb	The MLE bias result should state the required condition (n>1) at line 536.

---

💡 Add a code-review agent skill or configure MCP servers for context-aware, tailored reviews. Learn more in the docs.