Description Usage Arguments Details Value Author(s) References See Also Examples
Density, distribution function, quantile function and random generation
for the Liland distribution with R
trials and r
successes.
1 2 3 4 |
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. |
R |
number of trials. |
r |
number of successes. |
warn |
logical indicating if a warning should be issued if approximation is used. |
lower.tail |
logical indicating if the lower tail of the distribution should be summed. |
The Liland distribution has probability mass
f(X=x;R,r) = binomial(R-x|r-1)/binomial(R|r)
where x is the distance between consecutive successes, R is the number of trials and r is the number of successes.
dLiland
gives the probability mass, pLiland
gives the distribution
function, qLiland
gives the quantile function, and rLiland
generates
random Liland values.
Kristian Hovde Liland
Liland, KH & Snipen, L, FixedTimeEvents: An R package for the distribution of distances between discrete events in fixed time, SoftwareX 5 (2016).
Liland
, Liland.test
, simLiland
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 | dLiland(19, R = 1949, r = 162)
pLiland(19, R = 1949, r = 162)
qLiland(0.5, R = 1949, r = 162)
plot( pLiland(1:100, R = 1949, r = 162) )
## QQ-plot of Liland distribution and random Liland values
R <- 2000
r <- 120
n <- 1000
samp <- rLiland(n,R,r)
theo <- qLiland(ppoints(n),R,r)
qqplot(theo,samp,
xlab='F(x;2000,120)', ylab='Sample (1000)', axes=FALSE)
axis(1,at=c(0,40,80,120))
axis(2,at=c(0,40,80,120))
box()
qqline(samp, distribution = function(p)qLiland(p,R=2000,r=120), col='gray',lty=2)
|
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