Probability and statistics  

[Syllabus 2026-2027 ]

PREREQUISITES OF THE COURSE

SET THEORY (PROBA 1)

COMBINATORIAL ANALYSIS (PROBA 2)

COMPUTATION OF SUMS

COMPUTATION OF INTEGRALS

SUMMER EXERCICES 

CORRECTION OF SUMMER EXERCISES

PROBABILITY (Part 1 of the course)

SLIDES

[PROBA3] [PROBA4 ] [PROBA5 ][PROBA6][PROBA7][PROBA8][PROBA 9] [PROBA10] [ALL PROBABILITY SLIDES]

TUTORIAL

 [list3] [list4] [list5] [list6] [list7] [list8] [ALL TUTORIALS OF PROBA/STATS]

PROOFS

[PROOFS-OF-THE-COURSE-1]

[PROOFS-OF-THE-COURSE-2]

VIDEOS OF PROBA

[VIDEO COURSE 1]

[VIDEO COURSE 2]

[VIDEO COURSE 3]

[VIDEO COURSE 4.1] [VIDEO COURSE 4.2]

[VIDEO COURSE 5]

[VIDEO COURSE 6]

[VIDEO COURSE 7]

[VIDEO COURSE 8]

[VIDEO COURSE 9]

[VIDEO COURSE 10]

[VIDEO COURSE 11]

[VIDEO COURSE 12: END OF THE PROGRAM FOR THE MIDTERM EXAM]

[CORRECTION EX1 FINAL EXAM 2019-2020]

[VIDEO CONDITIONAL EXPECTATION 1]

[VIDEO CONDITIONAL EXPECTATION 2]

[PDF OF THE VIRTUAL BOARD FOR CONDITIONAL EXPECTATION]

[VIDEO LIST 7 OF EXERCICES]

[VIDEO RANDOM VECTORS / GAUSSIAN VECTORS] (Due to technical problems, You have only  the audio  between 1h 52 mins 28s and 2h 3 mins 55s corresponding to  slides  22 to  24  of the virtual board below)

[PDF OF THE VIRTUAL BOARD FOR VECTORS / GAUSSIAN VECTORS]

[VIDEO EX1 TO EX5 TD8]

[VIDEO TD8 (END)] (Due to technical problems, this is the audio for end of slide 9 to slide 13 of the virtual board)

[PDF OF THE VIRTUAL BOARD FOR TD8]

MIDTERM 2020

[MIDTERM 2020]

[VIDEO: CORRECTION OF THE MIDTERM 2020]

[CORRECTION OF THE MIDTERM 2020: PDF OF THE VIRTUAL BOARD]

SUPLEMENTARY MATERIAL FROM VENISE 

[LIST 1][SOLUTIONS]

[LIST 2][SOLUTIONS]

[LIST 3][SOLUTIONS]

[LIST 4][SOLUTIONS]

[LIST 5][SOLUTIONS]

[LIST 6][SOLUTIONS]

STATISTICS (Part 2 of the course)

[ALL THE SLIDES FOR STATISTICS]

SAMPLING

[STAT1]

[TD STAT1]

[CORRECTION STAT1]

[VIDEO: SAMPLING  (INTRODUCTION )]

[PDF OF THE VIRTUAL BOARD FOR THE INTRODUCTION]

[VIDEO: SAMPLING PART 1]

[PDF OF THE VIRTUAL BOARD: SAMPLING PART 1]

[VIDEO: SAMPLING PART 2]

[PDF OF THE VIRTUAL BOARD: SAMPLING PART2]

[VIDEO: TUTORIAL STAT1]

[PDF OF THE VIRTUAL BOARD: TUTORIAL STAT1]

ESTIMATION

 [STAT2] 

[TD STAT2]

[CORRECTION STAT2]

[VIDEO: ESTIMATION PART 1]

[VIDEO: ESTIMATION PART 2]

[PDF OF THE VIRTUAL BOARD]

[VIDEO: TUTORIAL STAT 2]

[PDF OF THE VIRTUAL BOARD: TUTORIAL STAT2 ]

TEST

[STAT3]  

[TD STAT3]

[VIDEO: TEST PART 1]

[VIDEO: TEST PART 2]

[PDF OF THE VIRTUAL BOARD ]

[VIDEO: TUTORIAL TEST]

[PDF VIRTUAL BOARD: TUTORIAL TEST]

SOME PREVIOUS  FINAL EXAMS 

[FINAL 2019 2020]

[FINAL 2020-2021]