@article{oai:ynu.repo.nii.ac.jp:00006872,
 author = {Alsmeyer, Gerold},
 issue = {1},
 journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学},
 month = {},
 note = {application/pdf, Random walks ＄S_{N}=(S_{n})_{n￥geqq 0}＄ with stochastically bounded increments ＄X_{0},＄ ＄X_{1},＄ ＄￥cdots＄ have been introduced in [2], [3] as natural generalizations of those with i.i.d. increments. In this article we present Blackwell-type renewal theorems proved by means of Fourier analysis. In the special case of independent ＄X_{0},＄ ＄X_{1}＄ , ＄￥cdot＄ these results lead to generalizations of earlier ones in the literature, notably in [3] where proofs were based on coupling technique which is a purely probabilistic device. As a further application we prove Blackwell's renewal theorem for certain random walks with stationary 1-dependent increments that appear in Markov renewal theory as subsequences of Markov random walks.},
 pages = {1--21},
 title = {RANDOM WALKS WITH STOCHASTICALLY BOUNDED INCREMENTS: RENEWAL THEORY VIA FOURIER ANALYSIS},
 volume = {42},
 year = {1994}
}