Description Usage Arguments Details Value See Also Examples
View source: R/exactCoverageProb.R
This function will evaluate the exact coverage probability, as given in equation (4) on page 7 of the paper. See Details section.
1  exactCoverageProb(c.vec, theta.diff, lambda, c.val, sigma.2 = 1, n = 1)

c.vec 
This is a vector of length 2. It consists of the lower and
upper limits in the integral. Checking is carried out to ensure that is of
length two, and that 0 <= c.vec[1] <= c.vec[2]. This parameter is ignored if

theta.diff 
A vector of length p1, where p is the number of populations
of treatments. Coordinate [i] in theta.diff corresponds to θ_i 
θ_{i+1}. See 
lambda 
In case the user wishes to use the shrinkage version, this parameter should be specified. It must be between 0 and 1. 
c.val 
In case lambda is specified, this must not be missing. This will be combined with lambda to create a c.vec. This very function will then call itself. 
sigma.2 
The known variance of the error terms. 
n 
The number of replications per population. 
This function evaluates the coverage probability for an interval defined
by (X_{(1)}  c_2, X_{(1)} + c_1). Note that, as specified in the
reference paper, we must have that 0 ≤ c_1 ≤ c_2. This function
will call integrate2. Please note the ordering of the elements in the
c.vec
argument: the first element corresponds to the upper limit of
the interval, and to the negative of the lower limit of the integral.
The function returns a scalar value that is the value of the exact coverage coverage probability defined in equation (4) of page 7.
integrate2, integrand
1 2 3  del1 < c(2, 4)
exactCoverageProb(c(1.1,1.3), del1)
exactCoverageProb(theta.diff=c(2,3,4), lambda=0.9, c.val=2)

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