class_docstr: Base forecaster template class.
  
  The base forecaster specifies the methods and method signatures that all forecasters
  have to implement.
  
  Specific implementations of these methods is deferred to concrete forecasters.
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docstr: Forecast time series at future horizon.
  
  private _predict containing the core logic, called from predict
  
  State required:
      Requires state to be "fitted".
  
  Accesses in self:
      Fitted model attributes ending in "_"
      self.cutoff
  
  Parameters
  ----------
  fh : guaranteed to be ForecastingHorizon or None, optional (default=None)
      The forecasting horizon with the steps ahead to to predict.
      If not passed in _fit, guaranteed to be passed here
  X : optional (default=None)
      guaranteed to be of a type in self.get_tag("X_inner_mtype")
      Exogeneous time series for the forecast
  
  Returns
  -------
  y_pred : pd.Series
      Point predictions
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code: def _predict(self, fh, X):
      """Forecast time series at future horizon.
  
      private _predict containing the core logic, called from predict
  
      State required:
          Requires state to be "fitted".
  
      Accesses in self:
          Fitted model attributes ending in "_"
          self.cutoff
  
      Parameters
      ----------
      fh : guaranteed to be ForecastingHorizon or None, optional (default=None)
          The forecasting horizon with the steps ahead to to predict.
          If not passed in _fit, guaranteed to be passed here
      X : optional (default=None)
          guaranteed to be of a type in self.get_tag("X_inner_mtype")
          Exogeneous time series for the forecast
  
      Returns
      -------
      y_pred : pd.Series
          Point predictions
      """
      raise NotImplementedError("abstract method")
  
imports: from copy import deepcopy
  from itertools import product
  import numpy
  import pandas
  from sktime.base import BaseEstimator
  from sktime.datatypes import VectorizedDF, check_is_scitype, convert_to, get_cutoff, mtype_to_scitype, scitype_to_mtype, update_data
  from sktime.forecasting.base._fh import ForecastingHorizon
  from sktime.utils.datetime import _shift
  from sktime.utils.validation._dependencies import _check_estimator_deps
  from sktime.utils.validation.forecasting import check_alpha, check_cv, check_fh, check_X
  from sktime.utils.validation.series import check_equal_time_index
  from sktime.utils.warnings import warn
label_desc: Use image node_id 31 for calling the BaseForecaster obj's underlying member method code with example usage: obj._predict(fh, X) without return types