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| author | martial.simon <martial.simon@epita.fr> | 2025-05-11 18:27:08 +0200 |
|---|---|---|
| committer | martial.simon <martial.simon@epita.fr> | 2025-05-11 18:27:08 +0200 |
| commit | 8bef0a919683f4296a93fb7082a28044ab0ebf1f (patch) | |
| tree | d25cc0e2c49efacc602bcce0fa50390d3dcae56a /PBS1/Suite de variables aléatoires.md | |
| parent | 1f6d18104b77c0f8a76682fb0ecab7a1667efa5f (diff) | |
| parent | a3045d7acdf813764334c3cd2055c6319a5882dd (diff) | |
Merge branch 'master' of marcellus.cc:ING1
Diffstat (limited to 'PBS1/Suite de variables aléatoires.md')
| -rw-r--r-- | PBS1/Suite de variables aléatoires.md | 25 |
1 files changed, 25 insertions, 0 deletions
diff --git a/PBS1/Suite de variables aléatoires.md b/PBS1/Suite de variables aléatoires.md new file mode 100644 index 0000000..8921777 --- /dev/null +++ b/PBS1/Suite de variables aléatoires.md @@ -0,0 +1,25 @@ +# Introduction +![[Pasted image 20250509115117.png]] +# Modes de convergence +## Convergence presque sûre +![[Pasted image 20250509115312.png]] +![[Pasted image 20250509115427.png]] +![[Pasted image 20250509115532.png]] +## Convergence en $L^{2}$ +![[Pasted image 20250509115732.png]] +![[Pasted image 20250509115752.png]] +## Convergence en probabilité +![[Pasted image 20250509115818.png]] +![[Pasted image 20250509115844.png]] +## Convergence en loi +![[Pasted image 20250509115929.png]] +![[Pasted image 20250509120047.png]] +![[Pasted image 20250509120156.png]] + +# Théorèmes de convergence +## Loi faible des grands nombres (CV en probabilité) +![[Pasted image 20250509120611.png]] +## Loi forte des grands nombres (CV presque sûre) +![[Pasted image 20250509120700.png]] +## Théorème central limite (CV en loi + loi) +![[Pasted image 20250509120902.png]] |