Description Usage Arguments Details Value Author(s) References See Also Examples
View source: R/p_rsize_Weibull.R
Calculates the cumulative distribution of the r-size biased Weibull distribution.
1 | p_rsize_Weibull(q,TRpar,r)
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q |
Points where the functional is being calculated. |
TRpar |
A vector of length 2, containing the shape and scale parameters of the distribution. |
r |
The size (order) of the distribution. The special cases r=1,2,3 correspond to length, area, volume biased samples respectively and are the most frequently encountered in practice. The case r=0 corresponds to random samples from the Weibull distribution. |
The r-size c.d.f. of the Weibull density is defined by
F_r(y; θ)=\int_{0}^{y} \frac{x^r f(x; θ)}{E(X^r)} \,dx
where θ is a bivariate vector with the the shape and scale of the Weibull distribution.
A vector of length equal to the lemgth of x.
Polychronis Economou
R implementation and documentation: Polychronis Economou <peconom@upatras.gr>
Economou et. al. (2021). Hypothesis testing for the population mean and variance based on r-size biased samples, under review.
d_rsize_Weibull
, r_rsize_Weibull
1 2 3 4 5 | # c.d.f of the r-size Weibull distribution, r=0,1,2 evalutated at a specific point x.
x<- 2
dist.0.size<-p_rsize_Weibull(x,c(2,3),0)
dist.1.size<-p_rsize_Weibull(x,c(2,3),1)
dist.2.size<-p_rsize_Weibull(x,c(2,3),2)
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