uM2M4pool | R Documentation |
Calculate pooled unbiased estimates of central moments and their powers and products.
uM2M4pool(m2, m3, m4, m6, n_x, n_y)
m2 |
naive biased variance estimate |
m3 |
naive biased third central moment estimate |
m4 |
naive biased fourth central moment estimate |
m6 |
naive biased sixth central moment estimate |
n_x |
number of observations in the first group. |
n_y |
number of observations in the second group. |
Pooled estimate of a product of second and fourth central moments
\mu_2 \mu_4
, where \mu_2
and
\mu_4
are second and fourth central moments respectively.
Other pooled estimates (two-sample):
uM2M3pool()
,
uM2pool()
,
uM2pow2pool()
,
uM2pow3pool()
,
uM3pool()
,
uM3pow2pool()
,
uM4pool()
,
uM5pool()
,
uM6pool()
nx <- 10
ny <- 8
shp <- 3
smpx <- rgamma(nx, shape = shp) - shp
smpy <- rgamma(ny, shape = shp)
mx <- mean(smpx)
my <- mean(smpy)
m <- numeric(6)
for (j in 2:6) {
m[j] <- mean(c((smpx - mx)^j, (smpy - my)^j))
}
uM2M4pool(m[2], m[3], m[4], m[6], nx, ny)
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