  We derive the full statistics of the product events in homodyne correlation
measurements, involving a single mode signal, a local oscillator, a linear
optical network, and two linear photodetectors. This is performed for the
regime of high intensities impinging on the detectors. Our description
incorporates earlier proposed homodyne correlation measurement schemes, such as
the homodyne cross-correlation and homodyne intensity-correlation measurements.
This analysis extends the amount of information retrieved from such types of
measurements, since previously attention was paid only to the expectation value
of the correlation statistics. As an example, we consider the correlation
statistics of coherent, Gaussian, and Fock states. Moreover, nonclassical light
is certified on the basis of the variance of the measurement outcome.
