Question: 1.15. For an arbitrary random walk, we have ( -1)n L ql>{Sn > O} < 00. n n [HINT: Half of the result is given

1.15. For an arbitrary random walk, we have

( -1)n L ql>{Sn > O} < 00. n n

[HINT: Half of the result is given in Exercise 18 of Sec. 8.3. For the remaining case, apply proposition (C) in the O-form to equation (5) of Sec. 8.5 with LIZ replaced by Vn and t -O. This result IS due to D. L. Hanson and M. Katz.]

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