probas.py

Created on November 26, 2024

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Loi Binomiale :
  Univers [0,n]
  P(X=K)= k parmi n * p^k (1-p)^n-k
  E(X)= np
  V(X)= np(1-p)
  Gx(t)= (pt + (1-p))^n
Loi Geometrique :
  Univers ( N étoile )
  P(X=K)= p(1-p)^k-1
  E(X)= 1/p
  V(X)= 1-p/p2
  Gx(t) = pt/(pt-t+1)
Loi De Poisson ( Lambda > 0 !!):
  Univers(N)
  P(X=K) = exp(-Y)*Y^k/k!
  E(X) = Y
  V(X) = Y
  Gx(t)= exp(Y(t-1))
Loi Hypergéométrique (N,n,p)
  P(X = k) = (C No^K) * ( C N-No ^n-k)/() C N ^ n )
  No = p*N
  E(X) = np
  V(X) = np(1-p)*(N-n)/N-1)
Loi binomiale négative tel que paramètre n = nombre de succès et p la proba 
  P(X= k) = (C k-1 ^n-1 )*p^n (1-p)^k-n 
  E(X)= n/p
  V(X)= n(1-p)/p^2
  
  
Loi uniforme : 
  Univers = N
  P(X=K) = 1/n
  E(X)= n+1/2
  V(X)= n2-1/12
Loi de Bernouilli : 
  Univers (0 ou 1 )
  P(X=K) = p si k = 1 1-p si k = 0
  E(X)= p 
  V(X)=p(1-p)
  Gx(t)= pt + (1-p)

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probas.py