Pareto Type-II (Lomax) Distribution
Density, cumulative distribution function, quantile function, and random generation for the Pareto Type-II (Lomax) distribution with shape parameter k>0 and scale parameter s>0.
[TO DO: rewrite in C, add NA handling]
rpareto2(n, k = 1, s = 1) ppareto2(q, k = 1, s = 1, lower.tail = TRUE) qpareto2(p, k = 1, s = 1, lower.tail = TRUE) dpareto2(x, k = 1, s = 1)
n |
integer; number of observations |
k |
vector of shape parameters, k>0 |
s |
vector of scale parameters, s>0 |
lower.tail |
logical; if |
p |
vector of probabilities |
x, q |
vector of quantiles |
If X~P2(k,s), then supp X=[0,∞). The c.d.f. for x≥ 0 is given by
F(x)=1-s^k/(s+x)^k
and the density by
f(x)=k s^k/(s+x)^{k+1}.
numeric vector;
dpareto2 gives the density,
ppareto2 gives the cumulative distribution function,
qpareto2 calculates the quantile function,
and rpareto2 generates random deviates.
Other distributions: rdpareto2
Other Pareto2: pareto2_estimate_mle,
pareto2_estimate_mmse,
pareto2_test_ad,
pareto2_test_f
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