Sentence examples for be a stochastic sequence from inspiring English sources

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 on the probability space that is, the sequence of -fields in is increasing in (that is ), and are adapted to random variables.

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.

Throughout this paper, let ℕ denote the set of positive integers, { X, X n, F n, n ∈ N } be a stochastic sequence defined on the probability space ( Ω, F, P ), i.e., the sequence of σ-fields { F n, n ∈ N } in ℱ is increasing in n, and { F n } are adapted to random variables { X n }, F 0 denotes the trivial σ field and 1 the indicator function.

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.

A probability is usually represented by a proportional number of 1's in a stochastic sequence.

where F − n = , n ≥ 1. Proof Because { Y n, F n, n ≥ 1 } is a stochastic adapted sequence, from Lemma 2.1, this lemma holds.

The present paper discusses evidence and diagnostics for the primary energy release and energy transport, focusing on i) the hypothesis that active stellar coronae are heated by a stochastic sequence of flares, and ii) that these flares involve chromospheric evaporation to increase the coronal temperature, its emission measure, and the electron density.

Let be an arbitrary stochastic sequence.

A sequence profile is a stochastic model of a sequence family.