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#' An S4 class to represent the lambda process
#'
#' The \code{lamp} class serves as an object-oriented interface for the lambda process.
#' The main purpose of the class is to store all the parameters required for simulation.
#'
#' @slot call the match.call slot.
#' @slot lambda numeric, lambda index of lambda process, which is 2/alpha.
#' @slot alpha numeric, stable alpha. This is derived from lambda for convenience reason.
#' @slot beta numeric, stable beta.
#' @slot pm numeric, parameterization, default to 1.
#' @slot rnd.walk numeric, Random walk method. Default is 1.
#' @slot sd numeric, standard deviation adjustment. No adjustment if NaN.
#' @slot sd.method numeric, methodology of sd adjustment. 0 means in scale parameter, 1 means in Levy sums.
#' @slot T.inf numeric, the infinite bound to cut off the Levy sums.
#' @slot rnd.n numeric, the length of one rnd call.
#' @slot N.lower numeric, the lower bound of N to truncate the boundary effect. Default is 0.
#' @slot N.upper numeric, the upper bound of N to limit the outliers. Default is 1000.
#' @slot use.mpfr logical, use Mpfr for high precision sums.
#' @slot file character, file path to save the object and simulation result.
#' @slot tau numeric, storage for the stable random variables.
#' @slot tau_i numeric, for internal use, length or index of tau.
#' @slot Z_i numeric, length of Z.
#' @slot Z numeric, simulation result of the lambda process, Z.
#' @slot B numeric, simulation result of the binomial process, B.
#' @slot N numeric, simulation result of the count process, N.
#' @slot tm POSIXct, timestamp of simulation.
#' @include ecd-class.R
#' @keywords lamp
#'
#' @author Stephen H. Lihn
#'
#' @exportClass lamp
setClass("lamp",
representation(call = "call",
lambda = "numeric",
alpha = "numeric",
beta = "numeric",
pm = "numeric",
rnd.walk = "numeric",
sd = "numeric",
sd.method = "numeric",
T.inf = "numericMpfr",
rnd.n = "numeric",
N.lower = "numeric",
N.upper = "numeric",
use.mpfr = "logical",
file = "character",
tau = "numeric",
tau_i = "numeric",
Z_i = "numeric",
Z = "numeric",
B = "numeric",
N = "numeric",
tm = "POSIXct"),
prototype(call = call("lamp"),
lambda = 4,
alpha = 1/2,
beta = 1,
pm = 1,
rnd.walk = NaN,
sd = NaN,
sd.method = 0,
T.inf = 86400*1000,
rnd.n = 1000000,
N.lower = 0,
N.upper = 1000,
use.mpfr = FALSE,
file = character(0),
tau = numeric(0),
tau_i = 0,
Z_i = 0,
Z = numeric(0),
B = numeric(0),
N = numeric(0),
tm = Sys.time())
)
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