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1{2  "task_id": "F3-conf-04",3  "model_name": "ar_seasdum",4  "model_description": "OLS AR(p) on annualised quarterly inflation with four quarterly seasonal intercepts, p in {0..4} chosen by AIC at each origin on a common sample, 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": 2.1918133412897713,11  "mae_model_h1": 1.5187711988356731,12  "rmse_snaive_h2": 2.846674080377472,13  "mae_snaive_h2": 2.1259446750000004,14  "rmse_model_h2": 2.46022256417967,15  "mae_model_h2": 1.550333358372702,16  "rmse_snaive_h4": 2.8823159392575315,17  "mae_snaive_h4": 2.181266125,18  "rmse_model_h4": 2.3396848872653107,19  "mae_model_h4": 1.5936096377164786,20  "rel_improvement_rmse_h1": 0.23070673291725996,21  "rel_improvement_rmse_h2": 0.13575544838858333,22  "rel_improvement_rmse_h4": 0.18826216952885444,23  "loss_diff_mean_h4": 2.8336198020003365,24  "loss_diff_se_h4": 2.0822850037684537,25  "hac_lags_h4": 3,26  "hac_kernel_h4": "bartlett",27  "dm_stat_h4": 1.360822268264018,28  "dm_pvalue_h4": 0.17356986291430632,29  "sensitivity_h4": {30    "bartlett_L4_se": 1.84792653245693,31    "bartlett_L4_pvalue": 0.12517609522502945,32    "bartlett_L6_se": 1.3749867136255691,33    "bartlett_L6_pvalue": 0.03931884953277284,34    "bartlett_L8_se": 1.1966007926602846,35    "bartlett_L8_pvalue": 0.017881743617665084,36    "rectangular_L3_se": 1.6959903400311052,37    "hln_stat_bartlett_L3": 1.2416338055687701,38    "hln_pvalue_t39": 0.22178745465698943,39    "iid_se_L0": 1.9716700152128979,40    "d_autocorr_lag1_to_4": [41      0.20771087168628657,42      -0.054263869940997765,43      -0.28400474251358954,44      -0.406316865070562445    ],46    "n_origins_model_better_sqerr_h4": 2947  },48  "selected_ar_order_counts": {49    "1": 15,50    "2": 2551  },52  "feasibility": "complete",53  "feasibility_reason": null,54  "data_issues": [55    {56      "issue": "infl_annualised missing for 1995Q1 (no prior quarter)",57      "handling": "dropped; series starts 1995Q2"58    },59    {60      "issue": "infl_annualised reproduced from cpi_avg only to ~3e-6 due to 6-dp rounding of cpi_avg",61      "handling": "used infl_annualised as given"62    },63    {64      "issue": "COVID-2020 and 2021-2023 inflation-surge outliers within evaluation window",65      "handling": "kept (genuine data); noted as threat to DM stationarity assumption"66    }67  ],68  "n_input_rows": {69    "cpi_quarterly.csv": 127,70    "cpi_monthly.csv": 38171  },72  "n_analysed": 118,73  "random_seed": null74}
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