On the Decomposition of A Class of Functions of Bounded Variation
1964 ◽
Vol 16
◽
pp. 479-484
◽
Keyword(s):
Let F1(x) and F2(x) be two distribution functions, that is, non-decreasing, right-continuous functions such that Fj(— ∞) = 0 and Fj(+ ∞) = 1 (j = 1, 2). We denote their convolution by F(x) so thatthe above integrals being defined as the Lebesgue-Stieltjes integrals. Then it is easy to verify (2, p. 189) that F(x) is a distribution function. Let f1(t), f2(t), and f(t) be the corresponding characteristic functions, that is,
1948 ◽
Vol 44
(1)
◽
pp. 8-12
◽
2017 ◽
Vol 147
(3)
◽
pp. 449-503
◽
1983 ◽
Vol 38
(5)
◽
pp. 146-147
◽
1978 ◽
Vol 30
(2)
◽
pp. 212-217
◽
1969 ◽
Vol 19
(3)
◽
pp. 207-218
Keyword(s):