Discreetly mixed Q-Weibull and exponential {ACDm} | R Documentation |
Density (PDF), distribution function (CDF), and hazard function for a discreetly mixed distribution of the q-Weibull and the exponential distributions.
dmixqwe(x, pdist = .5, a = .8, qdist = 1.5, lambda = .8, b = 1, forceExpectation = F) pmixqwe(q, pdist = .5, a = .8, qdist = 1.5, lambda = .8, b = 1, forceExpectation = F) mixqweHazard(x, pdist = .5, a = .8, qdist = 1.5, lambda = .8, b = 1, forceExpectation = F)
x, q |
vector of quantiles. |
pdist, a, qdist, lambda, b |
parameters, see 'Details'. |
forceExpectation |
logical; if |
The PDF for the mixed distribution is:
f(x) = p(2-q)\frac{a}{b^a} x^{a-1} ≤ft[1-(1-q)≤ft(\frac{x}{b}\right)^a\right]^{\frac{1}{1-q}} + (1-p)\frac{1}{λ}exp(-\frac{x}{λ})
if forceExpectation = TRUE
the b
parameter is a function of the other parameters to force the expectation to be 1.
qWeibullDist
for the Q-Weibull distribution and pmixqww
for Q-Weibull mixed with the ordinary Weibull.