pˌʊt ɐnˈʌðɚ wˈeɪ, ɐ ɹˈændəm kəmpˈækt sˈɛt ɪz ɐ mˈɛʒɚɹəbəl fˈʌŋkʃən sˈʌtʃ ðæt ɪz ˈɔːlmoʊst ʃˈʊɹli kəmpˈækt ænd
Put another way, a random compact set is a measurable function  such that  is almost surely compact and