The composition of the distributions x(-)(lambda) ln(s) x(-) and x(+)(-r/lambda)


Fisher B., ÖZÇAĞ E.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.13, sa.3, 2020 (ESCI) identifier identifier

Özet

The composition F(f(x)) of a distribution F(x) and a locally summable function f(x) is defined as the neutrix limit of the regular sequence {F-n(f(x))}. In this paper, we prove that the neutrix composition of the distributions x(-)(lambda) ln(s) x- and x(+)(-r/lambda) exists and equals