class_docstr: :math::
  dx_t &= \mu dt + \sigma dW_t
class_docstr_tok: [":","math",":",":","dx_t","&","=","\\mu","dt","+","\\sigma","dW_t"]
docstr: ddt : discrete delta t
  
  not tested yet
docstr_tok: ["ddt",":","discrete","delta","t","not","tested","yet"]
code: def exactprocess(self, nobs, xzero=None, ddt=1.0, nrepl=2):
      """ddt : discrete delta t
  
      not tested yet
      """
      if xzero is None:
          xzero = self.xzero
      t = np.linspace(ddt, nobs * ddt, nobs)
      normrvs = np.random.normal(size=(nrepl, nobs))
      inc = self._drift + self._sigma * np.sqrt(ddt) * normrvs
      # return signal.lfilter([1.], [1.,-1], inc)
      return xzero + np.cumsum(inc, 1)
  
imports: import numpy
  from scipy import stats, signal
  import matplotlib.pyplot
label_desc: Use image node_id 4 for calling the ArithmeticBrownian obj's underlying member method code with example usage: obj.exactprocess(nobs, xzero, ddt, nrepl) and returns: unknown