Delay Time Distributions of Type Ia Supernovae From Galaxy and Cosmic
  Star Formation Histories
  We present analytical reconstructions of type Ia supernova (SN Ia) delay time
distributions (DTDs) by way of two independent methods: by a Markov chain Monte
Carlo best-fit technique comparing the volumetric SN Ia rate history to today's
compendium cosmic star-formation history, and secondly through a maximum
likelihood analysis of the star formation rate histories of individual galaxies
in the GOODS/CANDELS field, in comparison to their resultant SN Ia yields. We
adopt a flexible skew-normal DTD model, which could match a wide range of
physically motivated DTD forms. We find a family of solutions that are
essentially exponential DTDs, similar in shape to the $\beta\approx-1$
power-law DTDs, but with more delayed events (>1 Gyr in age) than prompt events
(<1 Gyr). Comparing these solutions to delay time measures separately derived
from field galaxies and galaxy clusters, we find the skew-normal solutions can
accommodate both without requiring a different DTD form in different
environments. These model fits are generally inconsistent with results from
single-degenerate binary population synthesis models, and are seemingly
supportive of double-degenerate progenitors for most SN Ia events.
