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The star-forming emission line galaxies (ELGs) with strong [OII] doublet areone of the main spectroscopic targets for the ongoing and upcoming fourthgeneration galaxy redshift surveys. In this work, we measure the [OII]luminosity $L_{\mathrm{[OII]}}$ and the near-ultraviolet band absolutemagnitude $M_{\mathrm{NUV}}$ for a large sample of galaxies in the redshiftrange of $0.6\leq z <1.45$ from the Public Data Release 2 (PDR-2) of the VIMOSPublic Extragalactic Redshift Survey (VIPERS). We aim to construct theintrinsic relationship between the $L_{\mathrm{[OII]}}$ and $M_{\mathrm{NUV}}$through Bayesian analysis. In particular, we develop two different methods toproperly correct for the incompleteness effect and observational errors in the[OII] emission line measurement. Our results indicate that the conditionaldistribution of $L_{\mathrm{[OII]}}$ at a given $M_{\mathrm{NUV}}$ can be welldescribed by a universal probability distribution function (PDF), which isindependent of $M_{\mathrm{NUV}}$ or redshift. Convolving the$L_{\mathrm{[OII]}}$ conditional PDF with the NUV Luminosity function (LF)available in the literature, we make a prediction for [OII] LFs at $z<3$. Thepredicted [OII] LFs are in good agreement with the observational results fromthe literature. Finally, we utilize the predicted [OII] LFs to estimate thenumber counts of [OII] emitters for the Subaru Prime Focus Spectrograph (PFS)survey. This universal conditional PDF of $L_{\mathrm{[OII]}}$ provides a novelway to optimize the source targeting strategy for [OII] emitters in futuregalaxy redshift surveys, and to model [OII] emitters in theories of galaxyformation.

Universal conditional distribution function of [OII] luminosity of galaxies, and prediction for the [OII] luminosity function at redshift $z<3$