Glossary

General

English

  • increasing function
  • nondecreasing function
  • interval \([a,b)\)

French

  • fonction strictement croissante
  • fonction croissante
  • intervalle \([a,b[\)

Probability/Statistics

English

  • probability distribution
  • expectation
  • likelihood
  • distribution tail
  • CDF (Cumul. Distrib. Func.)
  • PDF (Proba. Density Func.)
  • CLT (Central Limit Theorem)
  • LLN (Law of Large Numbers)

French

  • loi de probabilité
  • espérance
  • vraissemblance
  • queue de distribution
  • Fonction de Répartition
  • Densité d’une distribution
  • TLC (Th. de la limite centrale)
  • Loi des grands nombres

Hypothesis Testing

English

  • A sample
  • one-sided test
  • two-sided test
  • chi-squared goodness of fit test
  • chi-squared homogeneity test

French

  • Un échantillon
  • test unilatéral
  • test bilatéral
  • test d’adéquation du Khi-deux
  • test d’homogénéité du Khi-deux

Programming Languages (JupytR)

Julia

using Distributions

n = 100
x = 20
p = 0.5
q = 0.95

cdf(Binomial(n, p), x)
quantile(Binomial(n,p), q)
cdf(Normal(0,1), x)
quantile(Normal(0,1), q)

cdf(Chisq(n), x) # Chi-squared
cdf(TDist(n), x) # Student

n1,n2 = 5,10
cdf(FDist(n1, n2), x) # Fisher

lmbda = 2
cdf(Gamma(n, lmbda), x) # Gamma
cdf(Poisson(lmbda), x) # Poisson

Python

from scipy.stats import *

n = 100
x = 20
p = 0.5
q = 0.95

binom.cdf(x, n, p)
binom.ppf(q, n, p) # Quantile
norm.cdf(x)
norm.ppf(q)

chi2.cdf(x, n)
t.cdf(x, n) # Student

n1,n2 = 5,10
f.cdf(x, n1, n2) # Fisher

lmbda = 2
gamma.cdf(x,n,lmbda) # Gamma
poisson.cdf(x, lmbda) # Poisson

R



n = 100
x = 20
p = 0.5
q = 0.95

pbinom(x, n, p)
qbinom(q, n, p)
pnorm(x)
qnorm(q)

pchisq(x, n)
pt(x, n)

n1,n2 = 5,10
pf(x, n1,n2)

lmbda = 2
pgamma(x,n,lmbda) 
ppois(x, lmbda)