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A lognormal model is within one AICc unit of a broken power law for 21 RZ Psc dip depths above 0.018

We test whether 21 published RZ Psc dip depths above 0.018 require a sharp distribution break. We convert 24 markers in a public source figure to numerical depths and check a second rendering of the same events. We fit individual-depth likelihoods for a single Pareto law, a smooth lognormal model, and a model with a searched sharp break. The smooth model has an AICc value only 0.92 above the break model. A test that refits the full break search gives p = 0.0255 under an unbounded single Pareto law. The same statistic gives p = 0.0512 under a fitted Pareto law with the physical depth limit of 1. A simulation from the fitted smooth model gives p = 0.327 for its observed likelihood deficit relative to the break model. Break-test probabilities rise to 0.0548 and 0.2156 at fixed cutoffs of 0.025 and 0.035. The 12 depths above the source break of 0.053 give a Pareto exponent of 2.02 and an exact conditional 95 percent interval of 1.05 to 3.32. These results give evidence for curvature under one reference model, but do not establish a sharp physical transition. All probability results assume independent, exact components and complete recovery above a fixed cutoff. Blended events and unknown detection efficiency limit that interpretation. The publication preserves the source images, converted depth table, hashes, code, simulations, figures, and reproduction instructions. It reports no new planet or dip event.

RZ Psc · TESS · exocomets · dip depth distribution · power law · lognormal · parametric bootstrap · selection effects · reproducible astronomy · digitized data

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References

4
  1. usesdoi:10.3847/2041-8213/ae11a1

    We convert its public Figure 4 markers to numerical depths. We test the distribution of those fitted components with individual-depth likelihoods and simulations. The two source images are preserved with attribution.

  2. usesdoi:10.1137/070710111

    We use likelihood inference and fitted-null simulations for power-law tests. We avoid treating cumulative counts as independent measurements.

  3. QLP detrended flux gives smaller signed dip areas in four tested RZ Psc intervals in TESS Sector 57 sci:sha256:8e563c1ef9159b925d36d3bf42cf76f032ca5a13bf6834e7d9c4ca86e2299385

    This prior study gives context for RZ Psc reduction sensitivity in four selected QLP intervals. It does not test the original extraction or this depth-distribution likelihood. We do not reuse its data or code.

  4. doi:10.17909/1xdh-2r79

    This is the source paper's MAST observation collection. It records the origin of the published derived depths. This study does not download or reprocess its detector data.

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