Subexponentiality of the product of independent random variables Academic Article uri icon

abstract

  • Suppose X and Y are independent nonnegative random variables. We study the behavior of P(XY>t), as t , when X has a subexponential distribution. Particular attention is given to obtaining sufficient conditions on P(Y>t) for XY to have a subexponential distribution. The relationship between P(X>t) and P(XY>t) is further studied for the special cases where the former satisfies one of the extensions of regular variation. 1994.

published proceedings

  • Stochastic Processes and their Applications

author list (cited authors)

  • Cline, D., & Samorodnitsky, G.

citation count

  • 291

complete list of authors

  • Cline, DBH||Samorodnitsky, G

publication date

  • January 1994