This special issue of Kybernetika is devoted to ``Random variables, joint distribution functions, and copulas''. This seems to us to be a fitting way of celebrating the thirty-fifth anniversary of Sklar's paper on this journal. As a response of copula community to our call for this special issue, we have obtained 17 submissions covering several interesting aspects of the copula theory and its applications. Each of them has been submitted to a careful peer-review process that selected ten contributions presented here. Special thanks are due to all the anonymous Reviewers of this special issue for their careful reading, to the editorial office of Kybernetika for their help in handling the manuscripts, and to the editorial board of the journal for their kind hospitality. Moreover, we are grateful to all the authors of these papers for submitting us their remarkable contributions.
We hope that this special issue may stimulate further investigations in this fascinating field.
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