In this paper we are addressed to the problem of speech presence and silences detection. Speech signals possess properties to which higher order statistics are sensitive. Bispectral-based statistics have been proved a good alternative [3] to energy-based statistics in a speech presence detector scheme, but at the cost of computations. Three alternative methods are proposed for a reliable and more computationally efficient detection. Two, lag-and frequency-domain, methods for the computation of the IT and the OT contribution to total skew while keeping the ability of the statistic in [3]. And a method based in the integrated polyspectrum (IP).