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Abstract: Fast Radio Bursts (FRBs) are millisecond
radio flashes with unknown origins yet. In this talk, I will present
our work on the measurement of FRB luminosity function (LF). We built
a robust Bayesian framework to measure the LF parameters following a
Schechter function. In this framework, we consider survey
sensitivities, telescope beam response, event rate modelling, and
dispersion measure (DM) from Milky Way / IGM / host galaxies / local
source. In particular, we simulate the DMs in a large sample of host
galaxies and obtain the DM distribution function for different types
of galaxies. We measure the FRB LF using 46 FRBs from 7 surveys. The
measured event rate density in a broad luminosity range implies the
possibility of FRB multiple classes. In addition, we calculate the
detection rates of different telescopes and show our optimal searching
plan for single dish telescopes.
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