Weighted Distribution
The COMPOSITE peculiar
velocity catalogue distribution on the sky in Galactic coordinates. Points are
colour coded by peculiar velocity with red outgoing and blue infalling. While it is customary in such plots to
encode the amplitude of the peculiar velocity by the size of the
symbol, here the symbol area is proportional to the
weight.
This is presented as a function of R_{I}=[10,60] h^{1}Mpc.
Click on the image to animate.

 Top panel (the Aitoff projection):
 The green square is
the direction to of the bulk flow, its
size is proportional to the magnitude of the
velocity.
 Bottom right panel
 The red and blue histograms show the redshift and
distance distributions, respectively.
 The green histogram shows the weighted
histogram (renormalized to the same area) but using the usual MLE
weights. Notice that most of the signal is driven by very nearby
objects.
 The magenta histogram is also weighted, but using MV
weights.
 The smooth black curve shows the expected weighted radial
distribution for an ideal survey i.e. ∝ r^{2}
exp[r^{2}/(2 R_I^{2})]. This shows that our MV weighting
scheme produces the desired radial distribution.
 Bottom left panel
 The red and blue histograms show the velocity and
velocity errors distributions, respectively.


Moment weights vs. directions
The weights are indexed by the direction and the galaxy index
w_{p,n} where
 p = 1..19 denotes the direction (x, y, z, xx,
yy, zz, xy, yz, zx, xxx, yyy, zzz, xxy, yyz, zzx, xyy, yzz, zxx,
xyz)
 n = 1..N is the galaxy index in a catalogue with N galaxies.
 The color code is given at the top righthand side of each
figure
 The depth of the survey is dynamic and is shown at the lefthand side of
the plot.
 Each plot shows the weights for each galaxy in the catalogue as a function of direction.
 The colors represent the weight moment displayed at the top right side of each plot.
 The depth is shown at the top left side of each plot. We display the depth R_{I}=[10,60] h^{1}Mpc.
 The weight values (y axis) are normalized.
To see large format (1920 x 1080) animation click here
To see small format (768 x 576) animation click here
