We study the full statistics of outputs of linear detector(s) connected to a qubit: statistics of Continuous Linear Weak Measurement. For a single detector, we reproduce the known results concerning quantum non-demolition and "undemolition" meaurement. For three detectors measuring non-commutative projections of the qubit pseudo-spin we have found unexpectedly high correlation between the outputs and the final quantum state of the qubit PROVIDED all outputs exceed their typical values. |