ConvergenceConcepts (version 1.2.1)

p.as.plot: Interactive plot for convergence in probability and almost surely

Description

This function enables one to draw the interactive plots used to study convergence in probability and almost surely.

Usage

p.as.plot(data,critp,critas,epsilon=0.05,nb.sp=10,mode="p")

Arguments

data

matrix containing the sample paths of Xn-X values.

critp

vector containing the criterion values for convergence in probability.

critas

vector containing the criterion values for convergence almost surely.

epsilon

a numeric value giving the interval endpoint.

nb.sp

number of sample paths to be drawn on the left plot.

mode

a character string specifying the mode of convergence to investigate, must be one of "p" (default), "as" or "r".

References

Lafaye de Micheaux, P. (), Liquet, B. "Understanding Convergence Concepts: a Visual-Minded and Graphical Simulation-Based Approach", The American Statistician, 63:2, 173--178, (2009).

See Also

check.convergence, criterion, generate, investigate, law.plot2d, law.plot3d, visualize.crit, visualize.sp

Examples

# NOT RUN {
myrbinom <- function(n,alpha){rbinom(n,1,1/(1:n))*((1:n)**alpha)}
data <- generate(randomgen=myrbinom,nmax=1000,M=500,argsgen=list(alpha=0.5))$data
critp <- criterion(data,epsilon=0.05,"p")$crit
critas <- criterion(data,epsilon=0.05,"as")$crit
p.as.plot(data,critp,critas,epsilon=0.05,nb.sp=10,mode="p")
# }