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dparetoIV(x, location=0, scale=1, inequality=1, shape=1, log=FALSE)
pparetoIV(q, location=0, scale=1, inequality=1, shape=1)
qparetoIV(p, location=0, scale=1, inequality=1, shape=1)
rparetoIV(n, location=0, scale=1, inequality=1, shape=1)
dparetoIII(x, location=0, scale=1, inequality=1, log=FALSE)
pparetoIII(q, location=0, scale=1, inequality=1)
qparetoIII(p, location=0, scale=1, inequality=1)
rparetoIII(n, location=0, scale=1, inequality=1)
dparetoII(x, location=0, scale=1, shape=1, log=FALSE)
pparetoII(q, location=0, scale=1, shape=1)
qparetoII(p, location=0, scale=1, shape=1)
rparetoII(n, location=0, scale=1, shape=1)
dparetoI(x, scale=1, shape=1)
pparetoI(q, scale=1, shape=1)
qparetoI(p, scale=1, shape=1)
rparetoI(n, scale=1, shape=1)
log=TRUE
then the logarithm of the density is returned.d
give the density,
functions beginning with the letter p
give the distribution function,
functions beginning with the letter q
give the quantile function, and
functions beginning with the letter r
generates random deviates.paretoIV
.Arnold, B. C. (1983) Pareto Distributions. Fairland, Maryland: International Cooperative Publishing House.
paretoIV
,
Pareto
.x = seq(-0.2, 4, by=0.01)
loc = 0; Scale = 1; ineq = 1; shape = 1.0;
plot(x, dparetoIV(x, loc, Scale, ineq, shape), type="l", col="blue",
main="Blue is density, red is cumulative distribution function",
sub="Purple are 5,10,...,95 percentiles", ylim=0:1, las=1, ylab="")
abline(h=0, col="blue", lty=2)
Q = qparetoIV(seq(0.05,0.95,by=0.05), loc, Scale, ineq, shape)
lines(Q, dparetoIV(Q, loc, Scale, ineq, shape), col="purple", lty=3, type="h")
lines(x, pparetoIV(x, loc, Scale, ineq, shape), col="red")
abline(h=0, lty=2)
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