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DiscretizedPareto2

Discretized Pareto Type-II (Lomax) Distribution [TO DO]


Description

Probability mass function, cumulative distribution function, quantile function, and random generation for the Discretized Pareto Type-II distribution with shape parameter k>0 and scale parameter s>0.

[TO DO: rewrite in C, add NA handling, add working qdpareto2()]

Usage

rdpareto2(n, k = 1, s = 1)

pdpareto2(q, k = 1, s = 1, lower.tail = TRUE)

qdpareto2(p, k = 1, s = 1, lower.tail = TRUE)

ddpareto2(x, k = 1, s = 1)

Arguments

n

integer; number of observations

k

vector of shape parameters, k>0

s

vector of scale parameters, s>0

lower.tail

logical; if TRUE (default), probabilities are P(X ≤ x), and P(X > x) otherwise

p

vector of probabilities

x, q

vector of quantiles

Details

If X~DP2(k,s), then floor(Y)=X, where Y has ordinary Pareto Type-II distribution, see ppareto2.

Value

numeric vector; ddpareto2 gives the probability mass function, pdpareto2 gives the cumulative distribution function, qdpareto2 calculates the quantile function, and rdpareto2 generates random deviates.

See Also

Other distributions: rpareto2

Other DiscretizedPareto2: dpareto2_estimate_mle


agop

Aggregation Operators and Preordered Sets

v0.2-3
LGPL (>= 3)
Authors
Marek Gagolewski [aut, cre] (<https://orcid.org/0000-0003-0637-6028>), Anna Cena [ctb] (<https://orcid.org/0000-0001-8697-5383>)
Initial release
2020-01-06

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