ICQER

class pystoned.ICQER.ICER(y, x, tau, z=None, cet='addi', fun='prod', rts='vrs')[source]

Isotonic convex expectile regression (ICER)

__init__(y, x, tau, z=None, cet='addi', fun='prod', rts='vrs')[source]

ICER model

Parameters:
  • y (float) – output variable.

  • x (float) – input variables.

  • tau (float) – expectile.

  • z (float, optional) – Contextual variable(s). Defaults to None.

  • cet (String, optional) – CET_ADDI (additive composite error term) or CET_MULT (multiplicative composite error term). Defaults to CET_ADDI.

  • fun (String, optional) – FUN_PROD (production frontier) or FUN_COST (cost frontier). Defaults to FUN_PROD.

  • rts (String, optional) – RTS_VRS (variable returns to scale) or RTS_CRS (constant returns to scale). Defaults to RTS_VRS.

display_alpha()

Display alpha value

display_beta()

Display beta value

display_lamda()

Display lamda value

display_negative_residual()

Dispaly negative residual value

display_positive_residual()

Dispaly positive residual value

display_residual()

Dispaly residual value

display_status()

Display the status of problem

get_adjusted_alpha()

Return the shifted constatnt(alpha) term by CCNLS

get_adjusted_residual()

Return the shifted residuals(epsilon) tern by CCNLS

get_alpha()

Return alpha value by array

get_beta()

Return beta value by array

get_frontier()

Return estimated frontier value by array

get_lamda()

Return lamda value by array

get_negative_residual()

Return negative residual value by array

get_positive_residual()

Return positive residual value by array

get_predict(x_test)

Return the estimated function in testing sample

get_residual()

Return residual value by array

get_status()

Return status

optimize(email='local', solver=None)

Optimize the function by requested method

Parameters:
  • email (string) – The email address for remote optimization. It will optimize locally if OPT_LOCAL is given.

  • solver (string) – The solver chosen for optimization. It will optimize with default solver if OPT_DEFAULT is given.

class pystoned.ICQER.ICQR(y, x, tau, z=None, cet='addi', fun='prod', rts='vrs')[source]

Isotonic convex quantile regression (ICQR)

__init__(y, x, tau, z=None, cet='addi', fun='prod', rts='vrs')[source]

ICQR model

Parameters:
  • y (float) – output variable.

  • x (float) – input variables.

  • tau (float) – quantile.

  • z (float, optional) – Contextual variable(s). Defaults to None.

  • cet (String, optional) – CET_ADDI (additive composite error term) or CET_MULT (multiplicative composite error term). Defaults to CET_ADDI.

  • fun (String, optional) – FUN_PROD (production frontier) or FUN_COST (cost frontier). Defaults to FUN_PROD.

  • rts (String, optional) – RTS_VRS (variable returns to scale) or RTS_CRS (constant returns to scale). Defaults to RTS_VRS.

display_alpha()

Display alpha value

display_beta()

Display beta value

display_lamda()

Display lamda value

display_negative_residual()

Dispaly negative residual value

display_positive_residual()

Dispaly positive residual value

display_residual()

Dispaly residual value

display_status()

Display the status of problem

get_adjusted_alpha()

Return the shifted constatnt(alpha) term by CCNLS

get_adjusted_residual()

Return the shifted residuals(epsilon) tern by CCNLS

get_alpha()

Return alpha value by array

get_beta()

Return beta value by array

get_frontier()

Return estimated frontier value by array

get_lamda()

Return lamda value by array

get_negative_residual()

Return negative residual value by array

get_positive_residual()

Return positive residual value by array

get_predict(x_test)

Return the estimated function in testing sample

get_residual()

Return residual value by array

get_status()

Return status

optimize(email='local', solver=None)

Optimize the function by requested method

Parameters:
  • email (string) – The email address for remote optimization. It will optimize locally if OPT_LOCAL is given.

  • solver (string) – The solver chosen for optimization. It will optimize with default solver if OPT_DEFAULT is given.