Convolution equivalence and infinite divisibility

By Anthony G. Pakes. Journal of Applied Probability, 2004

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From light tails to heavy tails through multiplier (2008, background): “Recent studies on these classes are found in Pakes (2004), Shimura and Watanabe (2005), Tang (2006a), Su and Chen (2006), and Foss and Korshunov (2007), among others.”
Extremal behavior of stochastic volatility models (2006, unknown): “1, or Pakes [32], Lemma 2.”
Ratio of the Tail of an Infinitely Divisible Distribution on the Line to that of its Lévy Measure (2010, background): “1 of [24], and conclusively to Theorem 1.”
Lower limits and equivalences for convolution tails (2005, background): “MR0929511 [9] Pakes, A. G. (2004).”
Extremal dependence of random scale constructions (2018, background): “Lemma 8 (Breiman’s lemma, see Breiman (1965), Cline and Samorodnitsky (1994), and Pakes (2004), Lemma 2.1) Suppose X ∼ F , Y ∼ G are independent random variables.”
Convolution equivalence and distributions of random sums (2008, methodology): “Theorem 5.1 of Pakes [ 23 ] asserted a two-sided extension of Theorem 2.13 of [4].”