Extensions of a renewal theorem
1955 ◽
Vol 51
(4)
◽
pp. 629-638
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Keyword(s):
Let X1, X2, X3,… be a sequence of independent, identically distributed, absolutely continuous random variables whose first moment is μ1. Let Sk = X1 + X2 + … + Xk, and let fk(x) be the frequency function of Sk, defined as the k-fold convolution of f1(x). When f1(x) has been defined for all x, fk(x) is uniquely defined for all k, x. Write
1973 ◽
Vol 16
(3)
◽
pp. 337-342
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1970 ◽
Vol 7
(02)
◽
pp. 432-439
◽
1966 ◽
Vol 3
(01)
◽
pp. 272-273
◽
1980 ◽
Vol 87
(1)
◽
pp. 179-187
◽
1969 ◽
Vol 9
(1-2)
◽
pp. 100-108
Keyword(s):
1979 ◽
Vol 86
(2)
◽
pp. 301-312
◽
1980 ◽
Vol 88
(1)
◽
pp. 161-165
◽