Description Usage Arguments Details Value See Also Examples
Cumulative distribution function for the MOEZipf distribution with parameters α and β.
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x |
Vector of positive values. |
alpha |
Value of the α parameter (α > 1). |
beta |
Value of the β parameter (β > 0). |
log.p |
Logical; if TRUE, probabilities p are given as log(p). |
lower.tail |
Logical; if TRUE (default), probabilities are P[X ≤q x], otherwise, P[X > x]. |
show.plot |
Logical; if TRUE shows the plot of the distibution (default = FALSE). |
The cumulative distribution function, F(x), at a given positive real value x, is calcuted from the survival function S(x) as:
F(x) = 1 - S(x),
the survival function S(x) is equal to:
S(x) = \frac{β ζ(α, x + 1)}{ζ(α) - \bar{β}ζ(α, x + 1)}, \forall x > 0
The cumulative probability of each value in vector x
.
smoezipf
for the survival probability function.
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