Differential equations relate the rate of change of a variable (for example, the amount of growth factor being produced) to its current value and, in some cases, its past values.
This is because the membrane potential evolution integrates its past values and the past influence of the network via the leak term.
It can be seen from Eq. (6) that the AR model is such a regression model in which x t is regressed on its past values.
Wind component, concerning the specific subject of the manuscript was omitted since its past values cannot be interpreted in the current pollen concentration.
The Box-Jenkins methodology [9] applies to ARMA or ARIMA models to find the best fit of a time series to its past values, in order to make forecasts.
The SB scheduler selects user i in slot k with the best score, where the score is calculated based on the current rank of the user's SINR among its past values in the current window where is the SINR value of a user at time instant k, and W is the window size.
The probability that (S_t ) is in state j depends in its past values, i.e. begin{aligned} pleft( {S_t =jleft| {S_{t-1} } right. =i} right) = p_{ij} end{aligned} (3)The Eq. (3) corresponds to a Markov chain with two states that has a transition probability (p_{ij} ) for all (i,j=1,2).
Our studies showed that including the climatic variables as input series result in models with better performance than the univariate model where the influenza cases depend only on its past values and error signal.
We first developed a univariate ARIMA model, where the response series depends only on its past values and some random shocks, followed with multivariate ARIMA with the environmental parameters as input series/covariates.
