On the Bell-Shape of Stable Densities

Recurrence and Transience Criteria for Two Cases of Stable-Like Markov Chains

“…Then by symmetry and bell-shaped property of densities f (ᾱ(x),γ(x)) (y) (see [Gaw84, Theorem 1]), we have inf…”

Total Positivity in Stable Semigroups

“…which is an integrable function over R by Formula 1.18 (6) in [4], since α ∈ (0, 1). On the other hand, supposing…”

The tail behaviour of a random sum of subexponential random variables and vectors

“…To prove I 3 ≥ 0 in Lemma 13, applying the strictly totally positive result of Gawronski (1984) to K(x, y) = ζ n (u, v) gives…”