From bd910d2240ea42d97e47fc80c0b1886b979a9e7d Mon Sep 17 00:00:00 2001 From: marcellus Date: Fri, 9 May 2025 12:11:16 +0200 Subject: update: 09/05/2025 - 12:10 --- "PBS1/Suite de variables al\303\251atoires.md" | 24 ++++++++++++++++++++++++ 1 file changed, 24 insertions(+) create mode 100644 "PBS1/Suite de variables al\303\251atoires.md" (limited to 'PBS1/Suite de variables aléatoires.md') diff --git "a/PBS1/Suite de variables al\303\251atoires.md" "b/PBS1/Suite de variables al\303\251atoires.md" new file mode 100644 index 0000000..e36df55 --- /dev/null +++ "b/PBS1/Suite de variables al\303\251atoires.md" @@ -0,0 +1,24 @@ +# Point de départ +![[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]] +![[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]] -- cgit v1.2.3 From c54a3ee16cc3ed9feb9dd6e2c80282a6d9c980a7 Mon Sep 17 00:00:00 2001 From: marcellus Date: Sat, 10 May 2025 11:36:52 +0200 Subject: update: Saturday 6 May, 11:36:52 from --- "PBS1/Suite de variables al\303\251atoires.md" | 1 + 1 file changed, 1 insertion(+) (limited to 'PBS1/Suite de variables aléatoires.md') diff --git "a/PBS1/Suite de variables al\303\251atoires.md" "b/PBS1/Suite de variables al\303\251atoires.md" index e36df55..f359d7f 100644 --- "a/PBS1/Suite de variables al\303\251atoires.md" +++ "b/PBS1/Suite de variables al\303\251atoires.md" @@ -11,6 +11,7 @@ ## 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]] -- cgit v1.2.3 From a3045d7acdf813764334c3cd2055c6319a5882dd Mon Sep 17 00:00:00 2001 From: marcellus Date: Sat, 10 May 2025 19:09:52 +0200 Subject: update: Saturday 6 May, 19:09:52 from IUseArchBTW --- "PBS1/Suite de variables al\303\251atoires.md" | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) (limited to 'PBS1/Suite de variables aléatoires.md') diff --git "a/PBS1/Suite de variables al\303\251atoires.md" "b/PBS1/Suite de variables al\303\251atoires.md" index f359d7f..8921777 100644 --- "a/PBS1/Suite de variables al\303\251atoires.md" +++ "b/PBS1/Suite de variables al\303\251atoires.md" @@ -1,4 +1,4 @@ -# Point de départ +# Introduction ![[Pasted image 20250509115117.png]] # Modes de convergence ## Convergence presque sûre -- cgit v1.2.3