Let me propose some definitons here -- 8-)
Systematic Offset: Due to the circuit design characteristics, with all circuit elements perfectly defined as the ideal element model. All thresholds exactly the same, all currents exactly the same for 2 transistors of the same size. Two 1K resistors are both equalt to 1000.00000 ohms. An op-amp with low open loop gain, will have a systematic offsets due top the fact that the ideal op-amp has infinite gain.
Random Offset: Due to non-ideal circuit elements. Slightly different drain currents between two "identical" transisotrs. The 2 resistors one being 999 ohms and the other being 1004 ohms.
Input Referred Offset: Take all the sources of offset and mismatch. Sum up all their effects and approximate it as an equivalent number at the input of the system. Similar to "input referred noise" in thinking.
Hope that helps -
Jerry