dRA gives the density, pRA gives the distribution
function, qRA gives the quantile function and rRA
generates random deviates.
Arguments
x, q
vector of quantiles.
theta
a scale parameter.
log, log.p
logical; if TRUE, probabilities p are given as log(p).
lower.tail
logical; if TRUE (default), probabilities are
\(P\left[ X\leq x\right]\), otherwise, \(P\left[ X>x\right] \).
p
vector of probabilities.
n
number of observations. If length(n) > 1, the length is taken
to be the number required.
Details
Ram Awadh distribution with scale parameter
\(\theta\), has density
$$f\left( x\right) =\frac{\theta ^{6}}{\theta ^{6}+120}
\left( \theta+x^{5}\right) e^{-\theta x},$$
where
$$x>0,~\theta >0.$$
References
Shukla, K. K., Shanker, R. ve Tiwari, M. K., 2022,
A new one parameter discrete distribution and its applications, Journal
of Statistics and Management Systems, 25 (1), 269-283.