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The occurrence of multiple stars, dominantly binaries, is studied using the\textit{Gaia}-ESA DR2 catalogue. We apply the optimized statistical method thatwe previously developed for the analysis of 2D patterns. The field of stars isdivided into a mosaic of small pieces, which represent a statistical set foranalysis. Specifically, data input is represented by a grid of circles (events)with radius $0.02\,\deg$ covering the sky in the field of galactic latitude$\left\vert b\right\vert >25\,\deg$. The criteria for selecting candidates formultiple stars are based on two parameters: angular separation and collinearityof proper motion. Radial separation, due to limited accuracy, is used only as aweaker supplementary constraint. Due attention is paid to the accuratecalculation of the background, which is a necessary input for evaluating thequality of the candidates. Our selection algorithm generates the catalogue ofcandidates: $900,842$ binaries, $5,282$ trinaries and $30$ quaternaries.

Catalogue of wide binary, trinary and quaternary candidates from the Gaia data release 2 (region $\left\vert b\right\vert >25\,\deg$)