ExpRep (version 1.0)

ExpRep-package: Experiment Repetitions

Description

The package ExpRep, which basically responds to educational purposes, allows to calculate the probabilities of occurrences of an event in a great number of repetitions of Bernoulli experiment, through the application of the local and the integral theorem of De Moivre Laplace, and the theorem of Poisson. It gives the possibility to show the results graphically and analytically, and to compare the results obtained by the application of the above theorems with those calculated by the direct application of the Binomial formula.

Details

The DESCRIPTION file: ExpRep ExpRep

References

Gnedenko, B. V. (1978). The Theory of Probability. Mir Publishers. Moscow.

Examples

ProbL<-Local_Theorem(n=100,m=50,p=0.02)
ProbL

ProbI<-Integral_Theorem(n=100,p=0.5,linf=0,lsup=50)
ProbI

ProbP<-Poisson_Theorem(n=100,m=50,p=0.002)
ProbP

beta<-ApplicIntegralTheo(Applic="beta",n=369,p=0.4,alpha=0.05) 
beta

alpha<-ApplicIntegralTheo(Applic="alpha",n=369,p=0.4,beta=0.95) 
alpha

n<-ApplicIntegralTheo(Applic="n",p=0.4,alpha=0.05,beta=0.95) 
n

S_Local_Limit_Theorem(n = 170, p = 0.5, Compare = TRUE, Table = TRUE, Graph = TRUE, 
      GraphE = TRUE)

S_Poisson_Theorem(n = 169, p = 0.002, Compare = TRUE, Table = TRUE, Graph = TRUE, 
      GraphE = TRUE)

S_Integral_Theorem(n=100, p=0.5, linf = 0, lsup = 50, Compare = TRUE, Table = TRUE, 
      Graph = TRUE, GraphE = TRUE) 

Buffon(p = 0.5, width = 0.2, r = c(100, 500, 1000, 1500))