zi_zipfpss: The Zero Inflated Zipf-Poisson Stop Sum Distribution (ZI...
In zipfextR: Zipf Extended Distributions
Description
Usage
Arguments
Details
References
Description
Probability mass function for the zero inflated Zipf-PSS distribution with parameters α, λ and w.
The support of thezero inflated Zipf-PSS distribution are the positive integer numbers including the zero value.
Usage
1
d_zi_zipfpss(x, alpha, lambda, w, log = FALSE)
Arguments
x
Vector of positive integer values.
alpha
Value of the α parameter (α > 1 ).
lambda
Value of the λ parameter (λ > 0 ).
w
Value of the w parameter (0 < w < 1 ).
log
Logical; if TRUE, probabilities p are given as log(p).
Details
The support of the λ parameter increases when the distribution is truncated at zero being
λ ≥q 0. It has been proved that when λ = 0 one has the degenerated version of the distribution at one.
References
Panjer, H. H. (1981). Recursive evaluation of a family of compound
distributions. ASTIN Bulletin: The Journal of the IAA, 12(1), 22-26.
Sundt, B., & Jewell, W. S. (1981). Further results on recursive evaluation of
compound distributions. ASTIN Bulletin: The Journal of the IAA, 12(1), 27-39.
zipfextR documentation built on July 8, 2020, 6:23 p.m.
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Description Usage Arguments Details References
Description
Probability mass function for the zero inflated Zipf-PSS distribution with parameters α, λ and w. The support of thezero inflated Zipf-PSS distribution are the positive integer numbers including the zero value.
Usage
1 | d_zi_zipfpss(x, alpha, lambda, w, log = FALSE)
|
Arguments
x |
Vector of positive integer values. |
alpha |
Value of the α parameter (α > 1 ). |
lambda |
Value of the λ parameter (λ > 0 ). |
w |
Value of the w parameter (0 < w < 1 ). |
log |
Logical; if TRUE, probabilities p are given as log(p). |
Details
The support of the λ parameter increases when the distribution is truncated at zero being λ ≥q 0. It has been proved that when λ = 0 one has the degenerated version of the distribution at one.
References
Panjer, H. H. (1981). Recursive evaluation of a family of compound distributions. ASTIN Bulletin: The Journal of the IAA, 12(1), 22-26.
Sundt, B., & Jewell, W. S. (1981). Further results on recursive evaluation of compound distributions. ASTIN Bulletin: The Journal of the IAA, 12(1), 27-39.
R Package Documentation
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We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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