Representations of the Log Pearson Type III (LP3) Distribution
Usage
plp3(x, meanlog, sdlog, skew, lower.tail = TRUE)
dlp3(x, meanlog, sdlog, skew)
qlp3(p, meanlog, sdlog, skew)
rlp3(n, meanlog, sdlog, skew)Arguments
- x
Vector of quantiles.
- meanlog
Parameter representing the mean of the random variable in log (base e) space; numeric. Vectors are allowed except for
rlp3().- sdlog
Parameter representing the standard deviation of the random variable in log (base e) space; positive numeric. Vectors are allowed except for
rlp3().- skew
Parameter representing the skewness of the random variable in log (base e) space; numeric. Vectors are allowed except for
rlp3().- lower.tail
Logical; if
TRUE(default), probabilities areP(X <= x), otherwise,P(X > x).- p
Vector of probabilities.
- n
Single positive whole number; number of observations to draw from the distribution.
Value
Vector of evaluated LP3 distribution, with length
equal to the recycled lengths of x/p, meanlog, sdlog, and
skew. For rlp3(), a vector of length n.
Examples
plp3(1:10, meanlog = 0, sdlog = 1, skew = 1)
#> [1] 0.5665299 0.7850795 0.8655469 0.9055821 0.9289547 0.9440223 0.9544163
#> [8] 0.9619487 0.9676161 0.9720082
dlp3(1:10, meanlog = 1:10, sdlog = 2, skew = 0)
#> [1] 1.760327e-01 8.056299e-02 4.231526e-02 2.123059e-02 9.480554e-03
#> [6] 3.633691e-03 1.169740e-03 3.117984e-04 6.813432e-05 1.211646e-05
qlp3(1:9 / 10, meanlog = 2, sdlog = 10, skew = 2)
#> [1] 9.620974e-04 3.124239e-03 1.187582e-02 5.547939e-02 3.435137e-01
#> [6] 3.199221e+00 5.681089e+01 3.276002e+03 3.354626e+06
set.seed(1)
rlp3(10, meanlog = 2, sdlog = 10, skew = 2)
#> [1] 1.582758e-03 5.021233e+04 2.304318e+04 1.435878e+00 6.840435e+01
#> [6] 3.600121e+01 6.687228e+00 7.253531e-03 8.641112e-04 1.615704e-03