Description Usage Arguments Details Value Examples
Logarithmic distribution with probability parameter gamma.
1 2 3 4 5 6 7 8 9 10 11 12 13 | dLogarithmic(x, prob)
pLogarithmic(q, prob, lower.tail = TRUE)
expValLogarithmic(prob)
varLogarithmic(prob)
VatRLogarithmic(kap, prob)
mgfLogarithmic(t, prob)
pgfLogarithmic(t, prob)
|
x |
vector of quantiles. |
prob |
probability parameter gamma. |
q |
vector of quantiles. |
lower.tail |
logical; if TRUE (default), probabilities are P[X ≤ x], otherwise, P[X > x]. |
kap |
probability. |
t |
t. |
The Logarithmic distribution with probability parameter gam has probability mass function :
-gam^k / (ln(1 - k) k)
, for k = 0, 1, 2, ..., and 0 < gam < 1].
Function :
dLogarithmic
gives the probability density function (PDF).
pLogarithmic
gives the cumulative density function (CDF).
expValLogarithmic
gives the expected value.
varLogarithmic
gives the variance.
VatRLogarithmic
gives the Value-at-Risk.
mgfLogarithmic
gives the moment generating function (MGF).
pgfLogarithmic
gives the probability generating function (MGF).
Invalid parameter values will return an error detailing which parameter is problematic.
1 2 3 4 5 6 7 8 9 10 11 12 13 | dLogarithmic(x = 3, prob = 0.2)
pLogarithmic(q = 3, prob = 0.2)
expValLogarithmic(prob = 0.50)
varLogarithmic(prob = 0.50)
VatRLogarithmic(kap = 0.99, prob = 0.2)
mgfLogarithmic(t = .2, prob = 0.50)
pgfLogarithmic(t = .2, prob = 0.50)
|
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