M5two | R Documentation |
Calculate pooled unbiased estimates of central moments and their powers and products.
M5two(m2, m3, m5, n_x, n_y)
m2 |
naive biased variance estimate |
m3 |
naive biased third central moment estimate |
m5 |
naive biased fifth 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 fifth central moment.
Other unbiased estimates:
M2M3one()
,
M2M3two()
,
M2M4one()
,
M2M4two()
,
M2one()
,
M2pow2one()
,
M2pow2two()
,
M2pow3one()
,
M2pow3two()
,
M2two()
,
M3one()
,
M3pow2one()
,
M3pow2two()
,
M3two()
,
M4one()
,
M4two()
,
M5one()
,
M6one()
,
M6two()
n1 <- 10
n2 <- 8
shp <- 3
smp1 <- rgamma(n1, shape = shp) - shp
smp2 <- rgamma(n2, shape = shp)
for (j in 2:6) {
assign(paste("m", j, sep = ""),
mean(c((smp1 - mean(smp1))^j, (smp2 - mean(smp2))^j)))
}
M5two(m2, m3, m5, n1, n2)
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