The Burr Distribution
Density, distribution function, quantile function and random generation for the Burr distribution with parameters shape1 and shape2.
dburr(x, shape1, shape2, log = FALSE) pburr(q, shape1, shape2, lower.tail = TRUE, log.p = FALSE) qburr(p, shape1, shape2, lower.tail = TRUE, log.p = FALSE) rburr(n, shape1, shape2)
x, q |
vector of quantiles. |
shape1 |
shape parameter. |
shape2 |
shape parameter. |
log, log.p |
logical; if TRUE, probabilities p are given as log(p), default: FALSE. |
lower.tail |
logical; if TRUE, probabilities are P[X ≤ x] otherwise, P[X > x], default: TRUE. |
p |
vector of probabilities. |
n |
number of observations. |
The Burr distribution function with shape1 parameter c and shape2 parameter k has density given by
f(x)=ckx^(c-1)/(1+x^c)^(k+1)
for x>0. The cumulative distribution function is
F(x)=1-(1+x^c)^-k
on x>0.
See https://en.wikipedia.org/wiki/Burr_distribution for more details.
dburr gives the density, pburr gives the distribution function, qburr gives the quantile function,
and rburr generates random deviates.
Invalid arguments will result in return value NaN, with a warning.
dburr(seq(1, 5), 2, 2) qburr(pburr(seq(1, 5), 2, 2), 2 ,2) rburr(5, 2, 2)
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