Quasi-Likelihood Estimates of the Time of Arrival and the Duration of the Signal with the Unknown Amplitude

Abstract

We found the structure and the asymptotic characteristics of the quasi-likelihood estimates of the time of arrival and the duration of the video pulse with the unknown amplitude. We determined the losses in accuracy of the produced estimates of the time parameters due to the difference of the true amplitude of the received signal from the expected one. We also established the usefulness of the introduced quasi-likelihood measurer depending on the available prior information.