A necessary and sufficient condition for the subexponentiality of the product convolution. Xu, H., Cheng, F., Wang, Y., & Cheng, D. Advances in Applied Probability, 50(1):57–73, March, 2018.
A necessary and sufficient condition for the subexponentiality of the product convolution [link]Paper  doi  bibtex   
@Article{Xu:2018:NSC,
  author =       "Hui Xu and Fengyang Cheng and Yuebao Wang and Dongya
                 Cheng",
  title =        "A necessary and sufficient condition for the
                 subexponentiality of the product convolution",
  journal =      j-ADV-APPL-PROB,
  volume =       "50",
  number =       "1",
  pages =        "57--73",
  month =        mar,
  year =         "2018",
  CODEN =        "AAPBBD",
  DOI =          "https://doi.org/10.1017/apr.2018.4",
  ISSN =         "0001-8678 (print), 1475-6064 (electronic)",
  ISSN-L =       "0001-8678",
  bibdate =      "Sat Mar 16 08:55:04 MDT 2019",
  bibsource =    "http://www.math.utah.edu/pub/tex/bib/advapplprob.bib",
  URL =          "https://www.cambridge.org/core/journals/advances-in-applied-probability/article/necessary-and-sufficient-condition-for-the-subexponentiality-of-the-product-convolution/DE667E3A9D50D51DC156152BDF3ED283",
  acknowledgement = ack-nhfb,
  ajournal =     "Adv. Appl. Probab.",
  fjournal =     "Advances in Applied Probability",
  journal-URL =  "https://www.cambridge.org/core/journals/advances-in-applied-probability",
  onlinedate =   "20 March 2018",
}

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