dllogis {STAR} | R Documentation |
Density, distribution function, quantile function, and random generation for the log logistic.
dllogis(x, location = 0, scale = 1, log = FALSE) pllogis(q, location = 0, scale = 1, lower.tail = TRUE, log.p = FALSE) qllogis(p, location = 0, scale = 1, lower.tail = TRUE, log.p = FALSE) rllogis(n, location = 0, scale = 1)
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. If length(n) > 1 , the length
is taken to be the number required. |
location, scale |
location and scale parameters (non-negative numeric). |
lower.tail |
logical; if TRUE (default), probabilities are
P[X <= x] , otherwise, P[X > x] . |
log, log.p |
logical; if TRUE , probabilities p are given as log(p). |
If location
or scale
are omitted, they assume the
default values of 0 and 1 respectively.
The log-Logistic distribution with location = m
and scale
= s
has distribution function
F(x) = 1 / (1 + exp(-(log(x)-m)/s))
and density
f(x) = 1/(s*x) exp(-(log(x)-m)/s) (1 + exp(-(log(x)-m)/s))^-2.
dllogis
gives the density, pllogis
gives the
distribution function, qllogis
gives the quantile function
and rllogis
generates random deviates.
Christophe Pouzat christophe.pouzat@gmail.com
Lindsey, J.K. (2004) Introduction to Applied Statistics: A Modelling Approach. OUP.
Lindsey, J.K. (2004) The Statistical Analysis of Stochastic Processes in Time. CUP.
## Not run: tSeq <- seq(0.001,0.6,0.001) location.true <- -2.7 scale.true <- 0.025 Yd <- dllogis(tSeq, location.true, scale.true) Yh <- hllogis(tSeq, location.true, scale.true) max.Yd <- max(Yd) max.Yh <- max(Yh) Yd <- Yd / max.Yd Yh <- Yh / max.Yh oldpar <- par(mar=c(5,4,4,4)) plot(tSeq, Yd, type="n", axes=FALSE, ann=FALSE, xlim=c(0,0.6), ylim=c(0,1)) axis(2,at=seq(0,1,0.2),labels=round(seq(0,1,0.2)*max.Yd,digits=2)) mtext("Density (1/s)", side=2, line=3) axis(1,at=pretty(c(0,0.6))) mtext("Time (s)", side=1, line=3) axis(4, at=seq(0,1,0.2), labels=round(seq(0,1,0.2)*max.Yh,digits=2)) mtext("Hazard (1/s)", side=4, line=3, col=2) mtext("Log Logistic Density and Hazard Functions", side=3, line=2,cex=1.5) lines(tSeq,Yd) lines(tSeq,Yh,col=2) par(oldpar) ## End(Not run)