Strong log-concavity is preserved by convolution
نویسنده
چکیده
We review and formulate results concerning strong-log-concavity in both discrete and continuous settings. Although four different proofs of preservation of strong log-concavity are known in the discrete setting (where strong log-concavity is known as “ultra-log-concavity”), preservation of strong log-concavity under convolution has apparently not been investigated previously in the continuous case. Mathematics Subject Classification (2010). Primary 60E15; Secondary 26D15.
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