Guessing the next output of a stationary process

Guessing the next output of a stationary process
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猜测平稳过程的下一个输出

DOI:
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发表时间:
1978
期刊:
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通讯作者:
D. Ornstein
D. Ornstein
中科院分区:
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文献类型:
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作者:
D. Ornstein

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假设我们从时间0开始观察一个平稳过程。然后,给定时间0到k的输出,时间-1的特定输出的条件概率将收敛。在本文中,我们将证明,我们可以做出一个猜测,只依赖于从0到k的输出(当然,不是过程),它将以概率1收敛到上述极限。
Suppose we start watching a stationary process at time 0. Then the conditional probability of a particular output at time −1, given the outputs at times 0 throughk, will converge. In this paper we will show that we can make a guess, depending only on the outputs from 0 throughk (and not, of course, on the process) that will converge to the above limit with probability one.