class_docstr: Laplace Distribution
  ----
  This class contains methods relating to the Laplace distribution for time series.
class_docstr_tok: ["Laplace","Distribution","--","--","This","class","contains","methods","relating","to","the","Laplace","distribution","for","time","series","."]
docstr: GAS Laplace Regression Update term using gradient only - native Python function
  
  Parameters
  ----------
  X : float
      datapoint for the right hand side variable
  
  y : float
      datapoint for the time series
  
  mean : float
      location parameter for the Laplace distribution
  
  scale : float
      scale parameter for the Laplace distribution
  
  shape : float
      tail thickness parameter for the Laplace distribution
  
  skewness : float
      skewness parameter for the Laplace distribution
  
  Returns
  ----------
  - Score of the Laplace family
docstr_tok: ["GAS","Laplace","Regression","Update","term","using","gradient","only","-","native","Python","function","Parameters","--","--","--","--","--","X",":","float","datapoint","for","the","right","hand","side","variable","y",":","float","datapoint","for","the","time","series","mean",":","float","location","parameter","for","the","Laplace","distribution","scale",":","float","scale","parameter","for","the","Laplace","distribution","shape",":","float","tail","thickness","parameter","for","the","Laplace","distribution","skewness",":","float","skewness","parameter","for","the","Laplace","distribution","Returns","--","--","--","--","--","-","Score","of","the","Laplace","family"]
code: def reg_score_function(X, y, mean, scale, shape, skewness):
      """GAS Laplace Regression Update term using gradient only - native Python function
  
      Parameters
      ----------
      X : float
          datapoint for the right hand side variable
  
      y : float
          datapoint for the time series
  
      mean : float
          location parameter for the Laplace distribution
  
      scale : float
          scale parameter for the Laplace distribution
  
      shape : float
          tail thickness parameter for the Laplace distribution
  
      skewness : float
          skewness parameter for the Laplace distribution
  
      Returns
      ----------
      - Score of the Laplace family
      """
      return X * (y - mean) / (scale * np.abs(y - mean))
  
imports: import numpy
  import scipy.stats
  import scipy.special
  from .family import Family
  from .flat import Flat
  from .normal import Normal
  from .gas_recursions import gas_recursion_laplace_orderone, gas_recursion_laplace_ordertwo
  from .gas_recursions import gasx_recursion_laplace_orderone, gasx_recursion_laplace_ordertwo
  from .gas_recursions import gas_llev_recursion_laplace_orderone, gas_llev_recursion_laplace_ordertwo
  from .gas_recursions import gas_llt_recursion_laplace_orderone, gas_llt_recursion_laplace_ordertwo
  from .gas_recursions import gas_reg_recursion_laplace_orderone, gas_reg_recursion_laplace_ordertwo
label_desc: Use image node_id 12 for calling the Laplace obj's underlying member method code with example usage: obj.reg_score_function(X, y, mean, scale, shape, skewness) and returns: unknown