View source: R/weighted_mean_dalen.R
weighted_mean_dalen | R Documentation |
Dalén's estimators of the population mean and the population total (bare-bone functions with limited functionality).
weighted_mean_dalen(x, w, censoring, type = "Z2", info = FALSE, na.rm = FALSE, verbose = TRUE) weighted_total_dalen( x, w, censoring, type = "Z2", info = FALSE, na.rm = FALSE, verbose = TRUE)
x |
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w |
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censoring |
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type |
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info |
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na.rm |
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verbose |
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Let sum(w[i]x[i]) denote the expansion estimator of the x-total (summation is over all elements i in sample s). The estimators Z2 and Z3 of Dalén (1987) are defined as follows.
The estimator Z2 of the population total sums over
min(c, w[i]x[i]; hence, it
censors the products w[i]x[i] to the
censoring constant c (censoring
). The estimator of
the population x-mean is is defined as the total divided
by the population size.
The estimator Z3 of the population total is defined as the sum over the elements z[i], which is equal to z[i] = w[i]x[i] if w[i]x[i] <= c and z[i] = c + (y[i] - c/w[i]) otherwise.
The return value depends on info
:
info = FALSE
:estimate of mean or total [double]
info = TRUE
:a [list]
with items:
characteristic
[character]
,
estimator
[character]
,
estimate
[double]
,
variance
(default: NA
),
robust
[list]
,
residuals
[numeric vector]
,
model
[list]
,
design
(default: NA
),
[call]
Dalén, J. (1987). Practical Estimators of a Population Total Which Reduce the Impact of Large Observations. R & D Report U/STM 1987:32, Statistics Sweden, Stockholm.
Overview (of all implemented functions)
data(workplace) # Dalen's estimator of the total (with censoring threshold: 100000) weighted_total_dalen(workplace$employment, workplace$weight, 100000)
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