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On the basis of Krieger et al. [31], Fritz et al. [32], and Linge and Linge11, all root and crown measurements were assessed by one examiner blinded about the study, in a stochastic sequence.
A probability is usually represented by a proportional number of 1's in a stochastic sequence.
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Let be a stochastic sequence defined as in Section 1 and a sequence of nondecreasing and nonnegative Borel functions on.
Let be a stochastic sequence defined as in Section 1, a sequence of nonzero random variables such that is -measurable, and a sequence of real numbers.
Let be a stochastic sequence defined as in Section 1 and a sequence of nondecreasing and nonnegative Borel functions with on.
To obtain a potentially large sample from the posterior distribution we use a Markov chain, which is a stochastic sequence of numbers where each value in the sequence depends only upon the last.
Let be a stochastic sequence on the probability space that is, the sequence of -fields in is increasing in (that is ), and are adapted to random variables.
As in [ 24], a factor, L, is used to account for the computational overhead required by using a longer stochastic sequence.
Let be an arbitrary stochastic sequence.
By modeling the packet dropout as an arbitrary stochastic sequence satisfying the Bernoulli binary distribution, the considered system can be transformed into a 2D stochastic system described by the Roesser model with a delay varying in a range.
It has been shown that a probabilistic distribution of genes' states can be accurately determined in a stochastic Boolean network (SBN) with a reasonably long stochastic sequence length [ 24].
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