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A new approach to the measurement of the statistical characteristics of physical data is presented. This approach exploits a novel use of a storage oscilloscope of the bistable type to display equiprobability lines on the oscilloscope screen. The first- and second-order probability density and distribution functions and the autocorrelation and cross-correlation functions of stationary random processes can be measured. Although the accuracy of the methods is limited, they provide a convenient "quick look" at the statistical characteristics of physical data. The frequency range is quite large, extending to megahertz in all cases.