SUBMULTIPLICATIVE MOMENTS OF THE SUPREMUM OF A MARKOV-MODULATED RANDOM WALK
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概要
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Let ＄M_{￥infty}＄ be the supremum of a random walk ＄￥{S_{n}￥}＄ defined on a finite Markov chain ＄￥{￥kappa_{n}￥}＄ and let ＄￥varphi(x),＄ ＄x￥geq 0＄ , be a submultiplicative function: ＄￥varphi(x+y)￥leq￥varphi(x)￥varphi(y)＄ . Conditions are given for ＄E￥varphi(M_{￥infty}|￥kappa_{0}=i)<￥infty＄ .
- Yokohama City University and Yokohama National Universityの論文
- 2006-00-00
Yokohama City University and Yokohama National University | 論文
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