Series expansions of photoelectron time-interval distributions in terms of correlation and moment functions are used to investigate the effect of higher-order intensity correlations. Two cases are considered: light modulated by gaussian and by squared-gaussian noise. For gaussian modulated light fluctuations the use of correlation functions was preferred to the use of moment functions, because of better convergence of the series expansions. For light intensities modulated by squared-gaussian noise the series expansions may even diverge, depending on variance and correlation time of the light intensity fluctuations. In the domain of convergence first-, second- and third-order approximations are derived from the series expansions and it is shown that even at low mean photoelectron counting rate the third-order correlation function cannot be neglected. Theoretical expressions for the half-open time-interval distributions are experimentally verified. Light signals with the desired statistical character were obtained by modulation of the current of a light emitting diode with a gaussian or a squared-gaussian noise signal.
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