corARMA                 package:nlme                 R Documentation

_A_R_M_A(_p,_q) _C_o_r_r_e_l_a_t_i_o_n _S_t_r_u_c_t_u_r_e

_D_e_s_c_r_i_p_t_i_o_n:

     This function is a constructor for the `corARMA' class,
     representing an autocorrelation-moving average correlation
     structure of order (p, q). Objects created using this constructor
     must later be initialized using the appropriate `initialize'
     method.

_U_s_a_g_e:

     corARMA(value, form, p, q, fixed)

_A_r_g_u_m_e_n_t_s:

   value: a vector with the values of the autoregressive and moving
          average parameters, which must have length `p + q' and all
          elements between -1 and 1. Defaults to a vector of zeros,
          corresponding to uncorrelated observations.

    form: a one sided formula of the form `~ t', or `~ t | g',
          specifying a time covariate `t' and,  optionally, a grouping
          factor `g'. A covariate for this correlation structure must
          be integer valued. When a grouping factor is present in
          `form', the correlation structure is assumed to apply only to
          observations within the same grouping level; observations
          with different grouping levels are assumed to be
          uncorrelated. Defaults to `~ 1', which corresponds to using
          the order of the observations in the data as a covariate, and
          no groups.

    p, q: non-negative integers specifying respectively the
          autoregressive order and the moving average order of the
          `ARMA' structure. Both default to 0.

   fixed: an optional logical value indicating whether the coefficients
          should be allowed to vary in the optimization, or kept fixed
          at their initial value. Defaults to `FALSE', in which case
          the coefficients are allowed to vary.

_V_a_l_u_e:

     an object of class `corARMA', representing an
     autocorrelation-moving average correlation structure.

_A_u_t_h_o_r(_s):

     Jose Pinheiro and Douglas Bates

_R_e_f_e_r_e_n_c_e_s:

     Box, G.E.P., Jenkins, G.M., and Reinsel G.C. (1994) "Time Series
     Analysis: Forecasting and Control", 3rd Edition, Holden-Day.

_S_e_e _A_l_s_o:

     `initialize.corStruct'

_E_x_a_m_p_l_e_s:

     ## ARMA(1,2) structure, with observation order as a covariate and
     ## Mare as grouping factor
     cs1 <- corARMA(c(0.2, 0.3, -0.1), form = ~ 1 | Mare, p = 1, q = 2)

