Luminosity selection for gamma-ray bursts

Aims. There exists inevitable scatter in the intrinsic luminosity of gamma-ray bursts (GRBs). If there is relativistic beaming source, viewing angle variation necessarily introduces function (ILF). Scatter ILF can cause selection bias where sources detected at distance have a greater median than those close by. Median divides any given population into equal halves. When functional form distribution unknown, it be more robust diagnostic that use trial forms. Method. In this work, we employ statistical test based on and to class models for GRBs. We assume GRB jet has finite opening orientation random relative observer. calculate L as redshift by simulating GRBs empirically theoretically, luminosity-vs.-redshift Swift data order compare theoretical results with observed ones. The method accounts fact may go undetected some redshifts. Results. find extremely insensitive on-axis (i.e., maximal) jet.