Nothing

```
### Unit tests of function momIntegrated
### Functions with name test.* are run by R CMD check or by make if
### LEVEL=1 in call to make
### Functions with name levelntest.* are run by make if
### LEVEL=n in call to make
### Functions with name graphicstest.* are run by make if
### LEVEL=graphics in call to make
test.momIntegrated <- function()
{
## Gamma Distribution
## Raw moments of gamma
rawMom <- numeric(8)
gammaMom <- function(order, shape, scale){
gMom <- (scale^order)*gamma(shape + order)/gamma(shape)
return(gMom)
}
## Calculate moments for particular gamma
shape <- 2
rate <- 3
scale <- 1
rawMom <- sapply(1:8, gammaMom, shape = shape, scale = scale)
## Central moments, gamma
centralMom <- momChangeAbout("all", rawMom, 0, rawMom[1])
## Moments about new value
new <- 1
newMom <- momChangeAbout("all", rawMom, 0, new)
## Check integrated moments from gamma
## Raw moments
m1 <- momIntegrated("gamma", order = 1,
shape = shape, scale = scale, about = 0)
m8 <- momIntegrated("gamma", order = 8,
shape = shape, scale = scale, about = 0)
checkEquals(rawMom[1], m1)
checkEquals(rawMom[8], m8)
## Central moments
cm1 <- momIntegrated("gamma", order = 1,
shape = shape, scale = scale, about = m1)
cm8 <- momIntegrated("gamma", order = 8,
shape = shape, scale = scale, about = m1)
checkEquals(centralMom[1], cm1)
checkEquals(centralMom[8], cm8)
## Moments about new
nm1 <- momIntegrated("gamma", order = 1,
shape = shape, scale = scale,
about = new)
nm8 <- momIntegrated("gamma", order = 8,
shape = shape, scale = scale,
about = new)
checkEquals(newMom[1], nm1)
checkEquals(newMom[8], nm8)
## Normal Distribution
## Central moment for normal distribution
centralMom <- numeric(8)
normalMom <- function(order, mean, sd){
if (order%%2 == 0){
nMom <- sd^order * sqrt(2^order/pi) * gamma((order - 1)/2 + 1)
}else{
nMom <- 0
}
return(nMom)
}
## Calculate moments for particular normal distribution
mean <- 2
sd <- 1
centralMom <- sapply(1:8, normalMom, mean = mean, sd = sd)
## Raw moments, normal distribution
rawMom <- momChangeAbout("all", centralMom, mean, 0)
## Moments about new value
new <- 1
newMom <- momChangeAbout("all", centralMom, mean, new)
## Check integrated moments from normal
## Raw moments
m1 <- momIntegrated("norm", order = 1,
mean = mean, sd = sd, about = 0)
m8 <- momIntegrated("norm", order = 8,
mean = mean, sd = sd, about = 0)
checkEquals(rawMom[1], m1)
checkEquals(rawMom[8], m8)
## Central moments
cm1 <- momIntegrated("norm", order = 1,
mean = mean, sd = sd, about = m1)
cm8 <- momIntegrated("norm", order = 8,
mean = mean, sd = sd, about = m1)
checkEquals(centralMom[1], cm1)
checkEquals(centralMom[8], cm8)
## Moments about new
nm1 <- momIntegrated("norm", order = 1,
mean = mean, sd = sd, about = new)
nm8 <- momIntegrated("norm", order = 8,
mean = mean, sd = sd, about = new)
checkEquals(newMom[1], nm1)
checkEquals(newMom[8], nm8)
return()
}
```

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