Signed rank based empirical likelihood for the symmetric location model

An empirical likelihood approach with an increasing number of bounded signed rank based constraints is derived for inference about the center of symmetry in the symmetric location model. A Wilks type theorem is derived where the number of constraints is allowed to grow at the rate o(n2∕5). This rate is faster than the rate o(n1∕3) obtained in Hjort et al. (2009) and Peng and Schick (2013) for bounded constraints.