Sampling and Estimation from Finite Populations. Yves Tille

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6Figure 6.1 Possible samples in a population of size
3.Figure 6.2 Fixed size constraint: the three samples of size
2 are connected ...Figure 6.3 None of the vertices of
is a vertex of the cube.Figure 6.4 Two vertices of
are vertices of the cube, but the third is not.Figure 6.5 Flight phase in a population of size
3 with a constraint of fixed...

      5 Chapter 7Figure 7.1 Cluster sampling: the population is divided into clusters. Clusters...Figure 7.2 Two‐stage sampling design: we randomly select primary units in whic...Figure 7.3 Two‐phase design: a sample

is selected in sample
.Figure 7.4 The sample
is the intersection of samples
and
.

      6 Chapter 8Figure 8.1 In a

grid, a systematic sample and a stratified sample with one u...Figure 8.2 Recursive quadrant function used for the GRTS method with three sub...Figure 8.3 Original function with four random permutations.Figure 8.4 Samples of 64 points in a grid of
points using simple designs, GR...Figure 8.5 Sample of 64 points in a grid of
points and Voronoï polygons. App...Figure 8.6 Interval corresponding to the first wave (extract from Qualité, 20...Figure 8.7 Positive coordination when
(extract from Qualité, 2009).Figure 8.8 Positive coordination when
(extract from Qualité, 2009).Figure 8.9 Negative coordination when
(extract from Qualité, 2009).Figure 8.10 Negative coordination when
(extract from Qualité, 2009).Figure 8.11 Coordination of a third sample (extract from Qualité, 2009).Figure 8.12 Two survey frames
and
cover the population. In each one, we se...Figure 8.13 In this example, the points represent contaminated trees. During t...Figure 8.14 Example of indirect sampling. In population
the units surrounded...

      7 Chapter 9Figure 9.1 Ratio estimator: observations aligned along a line passing through ...Figure 9.2 Difference estimator: observations aligned along a line of slope eq...

      8 Chapter 10Figure 10.1 Post‐stratification: the population is divided in post‐strata, but...

      9 Chapter 12Figure 12.1 Linear method: pseudo‐distance

with
and
.Figure 12.2 Linear method: function
with
and
Figure 12.3 Linear method: function
with
.Figure 12.4 Raking ratio: pseudo‐distance
with
and
.Figure 12.5 Raking ratio: function
with
and
.Figure 12.6 Raking ratio: function
with
.Figure 12.7 Reverse information: pseudo‐distance
with
and
.Figure 12.8 Reverse information: function
with
and
.Figure 12.9 Reverse information: function
with
.Figure 12.10 Truncated linear method: pseudo‐distance
with
, and
.Figure 12.11 Truncated linear method: function
with
, and
.Figure 12.12 Truncated linear method: calibration function
with
, and
Figure 12.13 Pseudo‐distances
with

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