| ExpRep-package {ExpRep} | R Documentation |
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:
| Package: | ExpRep |
| Type: | Package |
| Title: | Experiment Repetitions |
| Version: | 1.0 |
| Date: | 2017-06-22 |
| Author: | Larisa Zamora-Matamoros and Jorge Diaz-Silvera |
| Maintainer: | Larisa Zamora-Matamoros <larisa@uo.edu.cu> |
| Description: | 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. 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. Is basically useful for educational purposes. |
| License: | Unlimited |
Index of help topics:
ApplicIntegralTheo Applications of the Integral Theorem of
DeMoivre-Laplace.
Buffon Buffon
ExpRep-package Experiment Repetitions
Integral_Theorem Integral Theorem of DeMoivre-Laplace
Local_Theorem Local Theorem of DeMoivre-Laplace
Poisson_Theorem Poisson Theorem.
S_Integral_Theorem Simulations of the Integral Theorem of
DeMoivre-Laplace.
S_Local_Limit_Theorem Simulations of Local Theorem of
DeMoivre-Laplace
S_Poisson_Theorem Simulations of Poisson Theorem
Author(s)
Larisa Zamora-Matamoros and Jorge Diaz-Silvera
Maintainer: Larisa Zamora-Matamoros <larisa@uo.edu.cu>
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))