class_docstr: Student t Distribution
  ----
  This class contains methods relating to the Student t distribution for time series.
class_docstr_tok: ["Student","t","Distribution","--","--","This","class","contains","methods","relating","to","the","Student","t","distribution","for","time","series","."]
docstr: GAS t 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 t distribution
  
  scale : float
      scale parameter for the t distribution
  
  shape : float
      tail thickness parameter for the t distribution
  
  skewness : float
      skewness parameter for the t distribution
  
  Returns
  ----------
  - Score of the t family
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code: def reg_score_function(X, y, mean, scale, shape, skewness):
      """GAS t 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 t distribution
  
      scale : float
          scale parameter for the t distribution
  
      shape : float
          tail thickness parameter for the t distribution
  
      skewness : float
          skewness parameter for the t distribution
  
      Returns
      ----------
      - Score of the t family
      """
      return (
          ((shape + 1) / shape)
          * ((y - mean) * X)
          / (np.power(scale, 2) + np.power((y - mean), 2) / shape)
      )
  
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_t_orderone, gas_recursion_t_ordertwo
  from .gas_recursions import gasx_recursion_t_orderone, gasx_recursion_t_ordertwo
  from .gas_recursions import gas_llev_recursion_t_orderone, gas_llev_recursion_t_ordertwo
  from .gas_recursions import gas_llt_recursion_t_orderone, gas_llt_recursion_t_ordertwo
  from .gas_recursions import gas_reg_recursion_t_orderone, gas_reg_recursion_t_ordertwo
label_desc: Use image node_id 12 for calling the t obj's underlying member method code with example usage: obj.reg_score_function(X, y, mean, scale, shape, skewness) and returns: unknown