S U M M A R YSeveral sources of statistical sampling bias may be present in network magnitude data. These sampling biases may be introduced by (1) clipping of seismograms at stations with large amplitudes, (2) non-detection of signals at stations with low amplitudes, and/or (3) geographic clustering of station measurements in regions of high or low amplitude. Geographic clustering is a feature of many networks (ISC and WWSSN) that may introduce sampling bias if station magnitudes are not statistically independent. Although the network weighted average may be computed for correlated data, the introduction of data censoring from clipping or non-detection requires a maximum-likelihood approach.A maximum-likelihood-event magnitude estimation method is presented that accounts for correlated data including the cases of data censoring by clipping and non-detection. A model for correlated station magnitude data is presented. The model treats each station magnitude pair as correlated and the station-station magnitude correlation as a function of the distance between stations on the focal sphere. The likelihood functions are defined for the correlation model and the event magnitude. A maximum-likelihood method of estimation for both the station-station correlation structure and the event magnitude is demonstrated for simple correlation structures.The extent to which correlated data bias event magnitude is a complicated function of network sampling and the test-site focusing-defocusing patterns over the network. Magnitude station-station correlation structures for southern Nevada, and Eastern Kazakh are estimated in a maximum-likelihood sense. Maximum-likelihood estimates are made for a selected set of events given the estimated station-station correlation structures. The results indicate that interstation correlation structures affect magnitudes of some Pahute Mesa and western US (WUS) events by as much as 0.08 magnitude units for the WWSSN (World-Wide Standard Seismograph Network) network. Eastern Kazakh events appear to be affected to a lesser extent by the sampling of correlated station magnitude data for the WWSSN network.