An auto-regressive, moving-average model.
A time series made of a constant value.
Represents cyclic variation of a time series on a daily basis.
Represents cyclic variation of a time series on a daily basis.
The value a time series must pass by at a given time.
Represents cyclic variation of a time series on a monthly basis.
Represents cyclic variation of a time series on a monthly basis.
The value a time series must pass by at a given time.
A time series based on an ARMA model.
A time series based on an ARMA model.
The ARMA model provides a series of discrete values. In order to bind them to a particular date time, a linear regression is used.
the ARMA model used to generate a time series based on a random walk.
the duration between two consecutive steps.
A time series that only have undefined values.
Represents cyclic variation of a time series on a weekly basis.
Represents cyclic variation of a time series on a weekly basis.
The value a time series must pass by at a given time.
Represents cyclic variation of a time series on a yearly basis.
Represents cyclic variation of a time series on a yearly basis. Since years are on an open scale, a smooth interpolation of values is not waranted.
The value a time series must pass by at a given time.
Auto-regressive model is a series model in which the output variable depends linearly on its own previous values and on a stochastic term.
A moving-average model is a series model in which values are a linear regression of the current value of the series against current and previous white noise error terms.
An auto-regressive, moving-average model.
It provides a weakly stationary stochastic process as a sum of two polynomials - one for the auto-regression - one for the moving average
The time series is built as follows:
X_t = c + epsilon_t + ∑(phi_i * X_(t-1)) + ∑(theta_i * epsilon_(t-1))
Where epsilon is generated from a white noise of a specified standard deviation.
the parameters used to characterize the autoregression part of the model
the parameters used to characterize the moving average part of the model
the standard deviation used to characterize the generated white noise
a constant
the seed used to generate the white noise. For a given seed, the process is deterministic