time series (exactly one of data and period should be specified). If data is specified, lspec first computes the modulus of the fast Fourier transform of the series using the function fft, resulting in a periodogram of length floor(length(data)/2).

value of the periodogram for a time series at frequencies 2pi*j/T, for 1<=j<=T/2. If period is specified, odd should indicate whether the length of the series T is odd (odd = TRUE) or even (odd = FALSE). Exactly one of data and period should be specified.

the parameter to be used in the AIC criterion. The method chooses the number of basis functions that minimizes -2 * loglikelihood + penalty * (number of basis functions). Default is to use a penalty parameter of penalty = log(length(period)) as in BIC.

threshold value for atoms. No atoms having smaller mass than minmass are included in the model. If minmass takes its default value, in 95% of the samples, when data is Gaussian white noise, the model will not contain atoms.

ordered vector of values, which forces the method to start with these knots. If knots is not specified, the program starts with one knot at zero and then employs stepwise addition of knots and atoms.

maximum number of knots allowed in the model. Does not need to be specified, since the program has a default for maxdim and the number of dimensions equals the number of knots plus the number of atoms. If maxknots = 1 the fitted spectral density function is constant.

ordered vector of values, which forces the method to start with discrete components at these frequencies. The values of atoms are rounded to the nearest multiple of 2*pi/T. If atoms is not specified, the program starts with no atoms and then performs stepwise addition of knots and atoms.

maximum number of discrete components allowed in the model. Does not need to be specified, since the program has a default for maxdim and the number of dimensions equals the number of knots plus the number of atoms. If maxatoms = 0 a continuous spectral distribution is fit.

maximum number of basis functions allowed in the model (default is max(15,4*length(period)^0.2)).

see period. If period is not specified, odd is not relevant.

the maximal number of times that lspec should go through a cycle of stepwise addition and stepwise deletion until a stable solution is reached.

should printing of information be suppressed?

the command that was executed.

coefficients of the polynomial part of the spline.

the number of knots that were retained.

vector of the locations of the knots in the logspline model. Only the knots that were retained are in this vector.

coefficients of the knot part of the spline. The k-th coefficient is the coefficient of (x-t(k))^3_+.

the number of atoms that were retained.

vector of the locations of the atoms in the model. Only the atoms that were retained are in this vector.

The k-th coefficient is the mass at atom[k].

the log-likelihood of the model.

the penalty that was used.

the minimum mass for an atom that was allowed.

the sample size that was used, either computed as length(data) or as (2 * length(period)) when odd = FALSE or as (2 * length(period) + 1) when odd = TRUE.

the actual number of times that lspec went through a cycle of stepwise addition and stepwise deletion until a stable solution was reached, or minus the number of times that lspec went through a cycle of stepwise addition and stepwise deletion until it decided to quit.