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Stats S1 - Coggle Diagram
Stats S1
Chap 1
Worksheet 1 :checkered_flag:
Ex 1 : Probability tree adding across
1) :check: / Q2 :question: / Q3 : :check:
Ex 2: : we have a situation of prob, want to find a value using x
1) :check: / 2) :check:
Ex 3: Using prop if independance to find unknown value
Q1 :check: / Q2 on :question: a trouvé ou 22+x?
Ex 4 : counting method use permutation
:question:
Cours
1) Definitions and concepts
Outcome, sample space, event, elementary event, partition
2) Set theories/ operations on sets
Complement
Union
Intersection
Distribution Law
De Morgan's Law
3) Probability measures
Must satisfy 3 axioms
Probability properties (between 0 and 1, empty event,
4) Law of total probabilities
with Ai and B
Special case
5) Probability for countable sample space
simple formula to calculate P(A°
Uniform sample space :warning:
6) Conditional probability
formula
Bayes formula
7) Proving independence
using intersection
using conditional prob
8) Counting method
Chap 2
Worksheet 2 :checkered_flag:
Ex 1: 1) :question: 2) :check: 3) :check:
Ex 2 :check:
Ex 3 :warning:
Ex 4) q1) continuity on d? :question: q2) :check:
Ex 5: q1) CDF value at the end :question: 2) :warning: 3) :warning:
Ex 6 :recycle:
Ex 7 :recycle:
Ex 8 :star:
Ex 9
Ex 10
Ex 11 no need
Ex 12 no need
Cours
Part 2- Approximation
Binomial by a Poisson
Binomial by a Normal
Central limit theorem
Part 2- Joint distributions of discrete r.v
Chap 3 - 4
Cours
"pdf Chap 3 & 4 in english"
Chap 3: Introduction to Sampling
Explain the context of inferential stats
Formalisation in letter p6
Study the quality of the estimator: E(X) and Var(X) (p8)
Methodology: (p10)
Notation (p12)
Chap 4: Pointwise estimation
methodology (p19)
Properties of an estimator
(p26) / Bias (unbiased and asymptotically unbiased) / Consistent estimator
Comparing estimators (p28)
Common estimators (p29)
Sample mean / sample variance (biased and unbiased)
sample frequency p32?
Methods
Method 1: Using natural estimator
(p34)
If no natural estimator use
Method 2: Method of Moments
(p39)
Method 3: Maximum likelihood estimator
(p43)
Worksheet 3
:checkered_flag:
Ex 1 : Q1 :check:
Ex 2 MLE log:check:
Ex 3: log pour fonction continue / max :lock:
Chap 5
Cours
Worksheet 4 :checkered_flag:
Ex 1 - build confidence interval
how do I find the values at the end??? :question:
Ex 2 - build CI using case 2 - bilateral and unilateral
:check:
Ex 4 - build CI using case 3
:check:
Ex 5 - Using case 4 - poisson law
:check:
Ex 6 - playing with n
:check:
Extra practice
Midterm 2020
Ex 4 :star:
Ex 1: :check: determine CDF / play with Bernouilli and Geometric find the distribution
Ex 5 : Find the CDF function using equivalence
:check:compris mais quand meme refaire