Discreetly mixed Q-Weibull and exponential | 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} \left[1-(1-q)\left(\frac{x}{b}\right)^a\right]^{\frac{1}{1-q}} + (1-p)\frac{1}{\lambda}exp(-\frac{x}{\lambda})
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.
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.