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        "opp_hit_rate",
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        "opp_k_rate",
        "opp_pa",
        "opp_runs",
        "opp_starter_bb_rate",
        "opp_starter_bf",
        "opp_starter_hit_rate",
        "opp_starter_hr_rate",
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        "opp_starter_outs15",
        "opp_starter_outs5",
        "opp_starter_pitches5",
        "opp_starter_ra9",
        "opp_starter_rest",
        "opp_starter_starts",
        "opp_tb_rate",
        "opp_team_games",
        "park_factor",
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        "starter_bf",
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        "starter_outs15",
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        "starter_pitches5",
        "starter_ra9",
        "starter_rest",
        "starter_starts",
        "team_allowed",
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        "team_hit_rate",
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        "team_team_games"
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        "opp_hit_rate",
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        "opp_starter_bf",
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        "opp_starter_hr_rate",
        "opp_starter_k_rate",
        "opp_starter_outs15",
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        "starter_outs15",
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        "team_allowed",
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        "team_bullpen_ra9",
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        "team_hit_rate",
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        "team_team_games"
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    },
    "pitcher_outs": {
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        "opp_k_rate",
        "opp_pa",
        "opp_runs",
        "opp_starter_bb_rate",
        "opp_starter_bf",
        "opp_starter_hit_rate",
        "opp_starter_hr_rate",
        "opp_starter_k_rate",
        "opp_starter_outs15",
        "opp_starter_outs5",
        "opp_starter_pitches5",
        "opp_starter_ra9",
        "opp_starter_rest",
        "opp_starter_starts",
        "opp_tb_rate",
        "opp_team_games",
        "park_factor",
        "postseason",
        "starter_bb_rate",
        "starter_bf",
        "starter_hit_rate",
        "starter_hr_rate",
        "starter_k_rate",
        "starter_outs15",
        "starter_outs5",
        "starter_pitches5",
        "starter_ra9",
        "starter_rest",
        "starter_starts",
        "team_allowed",
        "team_bb_rate",
        "team_bullpen_ra9",
        "team_bullpen_workload",
        "team_hit_rate",
        "team_hr_rate",
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        "team_team_games"
      ],
      "dispersion": 0.0,
      "outs_sigma": 3.667980250223593
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    "batter_hits": {
      "kind": "boosted",
      "train_n": 35260,
      "calibration_n": 6870,
      "features": [
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        "batter_games",
        "batter_hit_rate",
        "batter_hr_rate",
        "batter_k_rate",
        "batter_pa",
        "batter_rbi_rate",
        "batter_tb_rate",
        "home",
        "lineup_slot",
        "opp_allowed",
        "opp_bb_rate",
        "opp_bullpen_ra9",
        "opp_bullpen_workload",
        "opp_hit_rate",
        "opp_hr_rate",
        "opp_k_rate",
        "opp_pa",
        "opp_runs",
        "opp_starter_bb_rate",
        "opp_starter_bf",
        "opp_starter_hit_rate",
        "opp_starter_hr_rate",
        "opp_starter_k_rate",
        "opp_starter_outs15",
        "opp_starter_outs5",
        "opp_starter_pitches5",
        "opp_starter_ra9",
        "opp_starter_rest",
        "opp_starter_starts",
        "opp_tb_rate",
        "opp_team_games",
        "park_factor",
        "postseason",
        "projected_pa",
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        "starter_hr_rate",
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        "team_tb_rate",
        "team_team_games"
      ],
      "dispersion": 0.0,
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    },
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        "batter_tb_rate",
        "home",
        "lineup_slot",
        "opp_allowed",
        "opp_bb_rate",
        "opp_bullpen_ra9",
        "opp_bullpen_workload",
        "opp_hit_rate",
        "opp_hr_rate",
        "opp_k_rate",
        "opp_pa",
        "opp_runs",
        "opp_starter_bb_rate",
        "opp_starter_bf",
        "opp_starter_hit_rate",
        "opp_starter_hr_rate",
        "opp_starter_k_rate",
        "opp_starter_outs15",
        "opp_starter_outs5",
        "opp_starter_pitches5",
        "opp_starter_ra9",
        "opp_starter_rest",
        "opp_starter_starts",
        "opp_tb_rate",
        "opp_team_games",
        "park_factor",
        "postseason",
        "projected_pa",
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        "starter_bb_rate",
        "starter_bf",
        "starter_hit_rate",
        "starter_hr_rate",
        "starter_k_rate",
        "starter_outs15",
        "starter_outs5",
        "starter_pitches5",
        "starter_ra9",
        "starter_rest",
        "starter_starts",
        "team_allowed",
        "team_bb_rate",
        "team_bullpen_ra9",
        "team_bullpen_workload",
        "team_hit_rate",
        "team_hr_rate",
        "team_k_rate",
        "team_pa",
        "team_runs",
        "team_tb_rate",
        "team_team_games"
      ],
      "dispersion": 0.6622647612639713,
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      "calibration_n": 6870,
      "features": [
        "batter_bb_rate",
        "batter_games",
        "batter_hit_rate",
        "batter_hr_rate",
        "batter_k_rate",
        "batter_pa",
        "batter_rbi_rate",
        "batter_tb_rate",
        "home",
        "lineup_slot",
        "opp_allowed",
        "opp_bb_rate",
        "opp_bullpen_ra9",
        "opp_bullpen_workload",
        "opp_hit_rate",
        "opp_hr_rate",
        "opp_k_rate",
        "opp_pa",
        "opp_runs",
        "opp_starter_bb_rate",
        "opp_starter_bf",
        "opp_starter_hit_rate",
        "opp_starter_hr_rate",
        "opp_starter_k_rate",
        "opp_starter_outs15",
        "opp_starter_outs5",
        "opp_starter_pitches5",
        "opp_starter_ra9",
        "opp_starter_rest",
        "opp_starter_starts",
        "opp_tb_rate",
        "opp_team_games",
        "park_factor",
        "postseason",
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        "starter_starts",
        "team_allowed",
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        "team_bullpen_ra9",
        "team_bullpen_workload",
        "team_hit_rate",
        "team_hr_rate",
        "team_k_rate",
        "team_pa",
        "team_runs",
        "team_tb_rate",
        "team_team_games"
      ],
      "dispersion": 0.0,
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    },
    "batter_rbis": {
      "kind": "boosted",
      "train_n": 35260,
      "calibration_n": 6870,
      "features": [
        "batter_bb_rate",
        "batter_games",
        "batter_hit_rate",
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        "batter_k_rate",
        "batter_pa",
        "batter_rbi_rate",
        "batter_tb_rate",
        "home",
        "lineup_slot",
        "opp_allowed",
        "opp_bb_rate",
        "opp_bullpen_ra9",
        "opp_bullpen_workload",
        "opp_hit_rate",
        "opp_hr_rate",
        "opp_k_rate",
        "opp_pa",
        "opp_runs",
        "opp_starter_bb_rate",
        "opp_starter_bf",
        "opp_starter_hit_rate",
        "opp_starter_hr_rate",
        "opp_starter_k_rate",
        "opp_starter_outs15",
        "opp_starter_outs5",
        "opp_starter_pitches5",
        "opp_starter_ra9",
        "opp_starter_rest",
        "opp_starter_starts",
        "opp_tb_rate",
        "opp_team_games",
        "park_factor",
        "postseason",
        "projected_pa",
        "recent_pa",
        "starter_bb_rate",
        "starter_bf",
        "starter_hit_rate",
        "starter_hr_rate",
        "starter_k_rate",
        "starter_outs15",
        "starter_outs5",
        "starter_pitches5",
        "starter_ra9",
        "starter_rest",
        "starter_starts",
        "team_allowed",
        "team_bb_rate",
        "team_bullpen_ra9",
        "team_bullpen_workload",
        "team_hit_rate",
        "team_hr_rate",
        "team_k_rate",
        "team_pa",
        "team_runs",
        "team_tb_rate",
        "team_team_games"
      ],
      "dispersion": 0.9985678804669755,
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    }
  },
  "reference": "Empirical outcome distribution in the training partition, independent of sportsbook prices",
  "thresholds": {
    "regular_min_games": 150,
    "regular_max_brier_excess": 0,
    "regular_max_ece": 0.06,
    "postseason_min_games": 30,
    "postseason_max_brier_excess": 0,
    "postseason_max_ece": 0.12
  },
  "limitations": [
    "Fixed threshold grids, not archived historical bookmaker lines; no historical ROI claim.",
    "Historical evaluation conditions on actual starters and original batting order; archived pregame announcements are unavailable.",
    "Postseason audit is small and uses an earlier model fitted before that postseason; upcoming playoff accuracy is unproven.",
    "No explicit handedness, weather, injury, umpire or tactical pinch-hit adjustments.",
    "Park estimates are shrunk venue scoring averages and can include home-team effects.",
    "Joint team-run approximation conditions out ties; extra-inning dynamics are not simulated pitch by pitch."
  ]
}