Manuscript Psy02-A@1 · Psy02-A.tex · section · d92ce402

Unbounded records require clipping and tail control

Causal support and mechanism identification › Unbounded records require clipping and tail control · lines 2200–2214

Suppose setting $i$ is sampled with probability $p_{i} > 0$ , and a scalar record $Z_{i}$ has a certified second moment. Let $w_{i}$ be fixed contrast weights and

C_{w} = i max \frac{\abs w _{i}}{p _{i}} > 0, c_{R} (z) = max {- R, min {z, R}} .

Define

f (i, z) = \frac{1}{2} + \frac{w _{i} c _{R} ( z )}{2 R C _{w} p _{i}} .

Displayed formulas in this passage

unlabeled · line 2205
$C_{w} = i max \frac{\abs w _{i}}{p _{i}} > 0, c_{R} (z) = max {- R, min {z, R}} .$
unlabeled · line 2211
$f (i, z) = \frac{1}{2} + \frac{w _{i} c _{R} ( z )}{2 R C _{w} p _{i}} .$

Nearby in this section

proposition: Proposition: Bounded statistic from a mean contrast
section: Unbounded records require clipping and tail control