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On two--block--factor sequences and one--dependence |
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| Authors: | F. Matú s |
| Affiliation: | Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod vodárenskou vezí 4, 182~08 Prague, Czech Republic |
| Abstract: | The distributions of two--block--factors  arising from i.i.d. sequences  are observed to coincide with the distributions of the superdiagonals  of jointly exchangeable and dissociated arrays  . An inequality for superdiagonal probabilities of the arrays is presented. It provides, together with the observation, a simple proof of the fact that a special one--dependent Markov sequence of Aaronson, Gilat and Keane (1992) is not a two--block factor. |
| Keywords: | $m$--dependence block--factors stationary sequences partially exchangeable arrays Markov chains weak topology superdiagonal |
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