Sentence examples for average processes of from inspiring English sources

Zhou and Lin [8] established complete q th moment convergence theorems for moving average processes of φ-mixing random variables.

Very few results for a moving average process of an array of i.i.d.i.d

Second-order serial correlation of the differenced residual indicates that the original error term is serial correlated and follows a moving average process of at least order one.

The moving average process of order q is denoted MA q) and defined by Y t = e t + ∑ i = 1 q θ j e t − j, (6).

As this average process of the measured SH intensity is identical to the incoherent summation of each micro-domain contribution, this agreement confirms our understanding of the incoherent contribution to the SHG responses of multi-micro-domains.

The aim of this paper is to study the complete moment convergence of moving average process of random sequence under the assumption that the random variables satisfy the Rosenthal type maximal inequality and the weak mean dominating condition.

A moving average process of order 1 can be written as: Open image in new window (2 while an autoregressive process of order 1, can be expressed as: Open image in new window (3)where ε n, n = 1, 2, …, N are white noise terms (i.e. independent normal error terms with zero mean and constant unit variance).

When compared with national averages, mean process of care scores reported from Murphy Medical Center and Union General Hospital were both lower but not significantly different (−3.44 versus −6.07, respectively, P = 0.54).

The following example gives the averaging process of stochastic differential delay equations under non-Lipschitz conditions.

In Section 2 we give a detailed description on the averaging process of general SDEs under a non-Lipschitz condition.

In order to illustrate the averaging process of stochastic differential equations under non-Lipschitz conditions, we give the following example.