Weak and strong moments of random vectors

Volume 95 / 2011

Rafał Latała Banach Center Publications 95 (2011), 115-121 MSC: Primary 60E15; Secondary 52A40, 60B11. DOI: 10.4064/bc95-0-8


We discuss a conjecture about comparability of weak and strong moments of log-concave random vectors and show the conjectured inequality for unconditional vectors in normed spaces with a bounded cotype constant.


  • Rafał LatałaInstitute of Mathematics
    University of Warsaw
    Banacha 2
    02-097 Warszawa, Poland
    Institute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-956 Warszawa, Poland

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