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1{2  "task_id": "F3-conf-04",3  "model_name": "sar_dummy_aic",4  "model_description": "Seasonal autoregression: OLS of quarterly annualised inflation on four quarter dummies and p own lags, p in {0,...,4} chosen by AIC on a common sample at each origin, re-estimated by OLS on the expanding window from 1995Q2 to the origin, iterated multi-step forecasts.",5  "n_origins": 40,6  "first_origin": "2015-10-01",7  "last_origin": "2025-07-01",8  "rmse_snaive_h1": 2.849125860156572,9  "mae_snaive_h1": 2.1374736750000003,10  "rmse_model_h1": 2.1929816943854905,11  "mae_model_h1": 1.5194119747378638,12  "rmse_snaive_h2": 2.846674080377472,13  "mae_snaive_h2": 2.1259446750000004,14  "rmse_model_h2": 2.4625629688732493,15  "mae_model_h2": 1.552562787751599,16  "rmse_snaive_h4": 2.8823159392575315,17  "mae_snaive_h4": 2.181266125,18  "rmse_model_h4": 2.343030574977449,19  "mae_model_h4": 1.5973272111361247,20  "rel_improvement_rmse_h1": 0.2302966586864027,21  "rel_improvement_rmse_h2": 0.13493329431421563,22  "rel_improvement_rmse_h4": 0.18710140582957724,23  "loss_diff_mean_h4": 2.817952898418871,24  "loss_diff_se_h4": 1.8512807864167726,25  "hac_lags_h4": 4,26  "hac_kernel_h4": "bartlett",27  "dm_stat_h4": 1.5221639629681083,28  "dm_pvalue_h4": 0.12796800229110086,29  "sensitivity_h4": {30    "bartlett_L3": {31      "se": 2.086237006681122,32      "lrv": 174.0953939218323,33      "dm_stat": 1.350734786792894,34      "pvalue_normal": 0.1767804046562032635    },36    "rectangular_L3": {37      "se": 1.6984334664159886,38      "lrv": 115.38704959367324,39      "dm_stat": 1.6591482410937635,40      "pvalue_normal": 0.0970859243781780241    },42    "bartlett_L6": {43      "se": 1.3784080101108849,44      "lrv": 76.00034569351398,45      "dm_stat": 2.0443532522654038,46      "pvalue_normal": 0.0409186619700855447    },48    "hln_corrected_main": {49      "dm_stat": 1.3888442878368983,50      "pvalue_t_T-1": 0.1727608798232524751    }52  },53  "ar_lag_order_selected": {54    "min": 1,55    "max": 2,56    "counts": {57      "1": 15,58      "2": 2559    }60  },61  "feasibility": "complete",62  "feasibility_reason": null,63  "data_issues": [64    {65      "issue": "infl_annualised missing for 1995Q1 (first difference undefined)",66      "handling": "row excluded from modelling (exclusions.csv step 1)"67    },68    {69      "issue": "large genuine shocks: 2008Q4 (-6.0), 2020Q2 COVID, 2022Q2 (+12.1)",70      "handling": "retained; no outlier treatment, since any such treatment would require post-origin judgement"71    }72  ],73  "n_input_rows": {74    "cpi_quarterly.csv": 127,75    "cpi_monthly.csv": 38176  },77  "n_analysed": 121,78  "random_seed": null79}
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