A Statistical Method for Estimating Luminosity Functions Using Truncated Data

@inproceedings{Schafer2007ASM,
  title={A Statistical Method for Estimating Luminosity Functions Using Truncated Data},
  author={Chad M. Schafer},
  year={2007}
}
The observational limitations of astronomical surveys lead to significant statistical inference challenges. One such challenge is the estimation of luminosity functions given redshift (z) and absolute magnitude (M) measurements from an irregularly truncated sample of objects. This is a bivariate density estimation problem; we develop here a statistically rigorous method which (1) does not assume a strict parametric form for the bivariate density; (2) does not assume independence between… CONTINUE READING

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