Density (PDF), distribution function (CDF), and hazard function for a discreetly mixed distribution of the q-Weibull and the ordinary Weibull distributions.
dmixqww(x, pdist = .5, a = 1.2, qdist = 1.5, theta = .8, gamma = 1, b = 1,
forceExpectation = F)
pmixqww(q, pdist = .5, a = 1.2, qdist = 1.5, theta = .8, gamma = 1, b = 1,
forceExpectation = F)
mixqwwHazard(x, pdist = .5, a = 1.2, qdist = 1.5, theta = .8, gamma = 1, b = 1,
forceExpectation = F)
vector of quantiles.
parameters, see 'Details'.
logical; if TRUE, the expectation of the distribution is forced to be 1 by letting b be a function of the other parameters.
The PDF for the mixed distribution is:
$$f(x) = p(2-q)\frac{a}{b^a} x^{a-1} \left[1-(1-q)\left(\frac{x}{b}\right)^a\right]^{\frac{1}{1-q}} + (1-p)\theta \gamma x^{-\theta x^{\gamma}}$$
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 pmixqwe for Q-Weibull mixed with the exponential distribution.