Luminous WISE-selected Obscured, Unobscured, and Red Quasars in Stripe
  82
  We present a spectroscopically complete sample of 147 infrared-color-selected
AGN down to a 22 $\mu$m flux limit of 20 mJy over the $\sim$270 deg$^2$ of the
SDSS Stripe 82 region. Most of these sources are in the QSO luminosity regime
($L_{\rm bol} \gtrsim 10^{12} L_\odot$) and are found out to $z\simeq3$. We
classify the AGN into three types, finding: 57 blue, unobscured Type-1
(broad-lined) sources; 69 obscured, Type-2 (narrow-lined) sources; and 21
moderately-reddened Type-1 sources (broad-lined and $E(B-V) > 0.25$). We study
a subset of this sample in X-rays and analyze their obscuration to find that
our spectroscopic classifications are in broad agreement with low, moderate,
and large amounts of absorption for Type-1, red Type-1 and Type-2 AGN,
respectively. We also investigate how their X-ray luminosities correlate with
other known bolometric luminosity indicators such as [O III] line luminosity
($L_{\rm [OIII]}$) and infrared luminosity ($L_{6 \mu{\rm m}}$). While the
X-ray correlation with $L_{\rm [OIII]}$ is consistent with previous findings,
the most infrared-luminous sources appear to deviate from established relations
such that they are either under-luminous in X-rays or over-luminous in the
infrared. Finally, we examine the luminosity function (LF) evolution of our
sample, and by AGN type, in combination with the complementary,
infrared-selected, AGN sample of Lacy et al. (2013), spanning over two orders
of magnitude in luminosity. We find that the two obscured populations evolve
differently, with reddened Type-1 AGN dominating the obscured AGN fraction
($\sim$30%) for $L_{5 \mu{\rm m}} > 10^{45}$ erg s$^{-1}$, while the fraction
of Type-2 AGN with $L_{5 \mu{\rm m}} < 10^{45}$ erg s$^{-1}$ rises sharply from
40% to 80% of the overall AGN population.
