TY - BOOK AU - Barbe,Philippe AU - McCormick,William P. TI - Asymptotic expansions for infinite weighted convolutions of heavy tail distributions and applications T2 - Memoirs of the American Mathematical Society, SN - 9781470405281 (online) AV - QA273.6 .B376 2009 U1 - 519.2/4 22 PY - 2009/// CY - Providence, R.I. PB - American Mathematical Society KW - Distribution (Probability theory) KW - Mathematical models KW - Asymptotic expansions KW - Stochastic processes N1 - "January 2009, volume 197, number 922 (Fourth of five numbers)."; Includes bibliographical references (p. 115-117) and index; 1. Introduction; 2. Main result; 3. Implementing the expansion; 4. Applications; 5. Preparing the proof; 6. Proof in the positive case; 7. Removing the sign restriction on the random variables; 8. Removing the sign restriction on the constants; 9. Removing the smoothness restriction; Appendix. Maple code; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0922 UR - http://dx.doi.org/10.1090/memo/0922 ER -