Abstract
The order and the values of Markov properties of nonstationary stochastic processes are inferred by the use of them-th order Markov value
and simplified dependency
, respectively:
and
HereK=0.5log2 e, and\(\left| {\hat R_m } \right|\) is the correlation coefficient determinant obtained from the ensemble averages of sample records. When an observed value
is greater than or equal to the critical value,
, the null hypothesis of the (m-1)th order,
, is rejected at the level of significance α. Hereχ 21 (α) is the chi-square value with one degree of freedom at α andN is sample size. With these statistics it was shown that the order and the values of Markov properties of spike trains of optic tractX- andY-fibers became higher and larger, respectively, after the light spot presentation; and that the values
due to negative correlation came to increase and returned to the maintained level earlier inY-fibers than inX-fibers, while the maximum values forX-fibers continued to the light off. It is discussed that Markov properties of spike trains of optic tract fibers in the visual pathway seem to constitute a significant component of the neural information code.
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Nakahama, H., Aya, K., Yamamoto, M. et al. Dependency representing Markov properties of nonstationary spike trains recorded from the cat's optic tract fibers. Biol. Cybern. 35, 43–54 (1979). https://doi.org/10.1007/BF01845843
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DOI: https://doi.org/10.1007/BF01845843