• Probabilistic Source (centroid) Matching

• Dependency of relative photometric uncertainty on flat-fielding accuracy

• Computing flux upper-limits for non-detections
  • The email that started it all

• Validating model photometric uncertainties (priors) empirically

• A method to find variable/transient sources in a stack of image data:
  The Consecutive Signed-Slope (CSS) Method (vsn 4/27/2021)

• The impact of correlations on the optimum location (mean) measure and its variance

• Uncertainty and average absolute deviation for two measurements with Gaussian distributed errors

• What is the null hypothesis when fitting a model? (frequentist's view)

• Cauchy versus Gaussian and 1/√N behavior

• Correlated versus dependent normally-distributed variables (a paradox?)
  • Example of Uncorrelated but dependent normally-distributed variables

• Generating Light Curves from Forced PSF-fit Photometry on ZTF Difference Images (white paper)

• Generating Light Curves from Forced PSF-fit Photometry on PTFIDE Difference-images (white paper)

• Optimal Detection of Rare "sub-significant" Events in the Time-Domain (white paper)

• On the relationship between linear correlation and slope from a linear regression fit

• A study of the bias from inverse Poisson-variance weighting

• Optimal image combination with variable seeing and photometric zero-point calibrations

• The danger of statistical inference in magnitude space
  • Noise-variance in magnitude space

• Quick 'n dirty way to derive the point-source sensitivity from image data

• Noise-variance (and sigma) in magnitude space

• Aperture photometry and uncertainty estimation assuming priors and correlated noise
  • Simple aperture photometry and uncertainties without access to explicit priors

• Optimum photometric aperture size for a Gaussian source profile

• Computing the "Number of Noise-Pixels" (HTML version)
  • Computing the "Number of Noise-Pixels" (original PDF version)

• Assessing the impact of noisy pixels on photometric signal-to-noise ratio

• The MADTUT method for robustly estimating the background noise-sigma

• A pixel-error model for WISE
  (general for any detector using sample-up-the-ramp/non-destructive readout electronics)

• Estimating relative pixel responsivities using the gradient method

• Assessing the significance of radial proper motion measurements via the 2-D chi-square

• An application of PCA to a chi-square minimization problem with correlated errors

• Combining Random and Systematic Errors
  • Related: quoting/computing astrometric performance using robust metrics

• Testing and Selecting Nested Models

• Getting started with the "R" statistics programming language

Last modified: 2025 August 7