Placebo heavy-tail synthetic DGP (sharp null, v1.3.0) — dgp_synth_placebo_heavytail

Implements the synth_placebo_heavytail design: baseline outcome with heavy-tailed noise (0.8 N(0,0.5) + 0.2 Cauchy(0,1)) and sharp-null treatment effect (Y1 == Y0 pathwise).

Usage

dgp_synth_placebo_heavytail_v130(
  n,
  seed = NULL,
  include_truth = TRUE,
  oracle_only = FALSE
)

Arguments

n: Integer, number of observations.
seed: Optional seed for reproducibility (passed to cs_set_rng()).
include_truth: Logical; if TRUE, include oracle truth tables where supported.
oracle_only: Logical; if TRUE, return only columns needed for oracle truth generation where supported.

Value

A synthetic DGP list with df, true_att, true_qst, meta.

Details

Placebo contract (sharp null): \(\tau(X) \equiv 0\) and \(Y_1 \equiv Y_0\); structural_te zeros, true_att = 0, true_qst zero on cs_tau_oracle().

Registry nuance (this variant): Outcome and propensity match synth_baseline; noise matches synth_heavytail: \(\varepsilon \sim 0.8 \cdot \mathcal{N}(0, 0.5) + 0.2 \cdot \text{Cauchy}(0, 1)\).