Description Usage Arguments Details Value See Also Examples
This is the density function and random generation for the (scaled) inverse chisquared distribution.
1 2 
x 
This is a vector of quantiles. 
n 
This is the number of observations. If 
df 
This is the degrees of freedom parameter, usually represented as nu. 
scale 
This is the scale parameter, usually represented as lambda. 
log 
Logical. If 
Application: Continuous Univariate
Density:
p(theta) = ((nu/2)^(nu/2))/(Γ(nu/2)) lambda^nu (1/theta)^((nu/2)+1) exp((nu lambda^2)/(2*theta)), theta >= 0
Inventor: Derived from the chisquared distribution
Notation 1: theta ~ chi^(2)(nu, lambda)
Notation 2: p(theta) = chi^(2)(theta  nu, lambda)
Parameter 1: degrees of freedom parameter nu > 0
Parameter 2: scale parameter lambda
Mean: E(theta) = unknown
Variance: var(theta) = unknown
Mode: mode(theta) =
The inverse chisquared distribution, also called the inverted chisquare distribution, is the multiplicate inverse of the chisquared distribution. If x has the chisquared distribution with nu degrees of freedom, then 1 / x has the inverse chisquared distribution with nu degrees of freedom, and nu / x has the inverse chisquared distribution with nu degrees of freedom.
These functions are similar to those in the GeoR package.
dinvchisq
gives the density and
rinvchisq
generates random deviates.
1 2 3 4 5 6 7 8 9 10 11 12 13  library(LaplacesDemon)
x < dinvchisq(1,1,1)
x < rinvchisq(10,1)
#Plot Probability Functions
x < seq(from=0.1, to=5, by=0.01)
plot(x, dinvchisq(x,0.5,1), ylim=c(0,1), type="l", main="Probability Function",
ylab="density", col="red")
lines(x, dinvchisq(x,1,1), type="l", col="green")
lines(x, dinvchisq(x,5,1), type="l", col="blue")
legend(3, 0.9, expression(paste(nu==0.5, ", ", lambda==1),
paste(nu==1, ", ", lambda==1), paste(nu==5, ", ", lambda==1)),
lty=c(1,1,1), col=c("red","green","blue"))

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