In　networked　systems,　observation　data　transmitted　to　the　estimator　through　limited　bandwidth　channels　may　be　lost.　The　problem　of　l2-l∞　filter　design　is　addressed　for　networked　systems　with　missing　measurements.　The　missing　measurements　are　described　by　a　binary　switching　sequence　satisfying　a　conditional　probability　distribution.　The　main　purpose　is　to　obtain　both　full-and　reduced-order　filters　such　that　the　filter　error　systems　are　exponentially　mean-square　stable　and　guarantee　a　prescribed　energy-to-peak　disturbance　attenuation　level　in　term　of　linear　matrix　inequalities　(LMIs).　An　illustrative　numerical　example　is　provided　to　demonstrate　the　usefulness　and　flexibility　of　the　proposed　design　approach.