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beta mixture prefix evidence

Reconstruct complete supplied synthetic Bernoulli Beta-mixture wealth and running-maximum claims, terminal inverse maximum and first inclusive threshold passage under externally declared fixed model assumptions, jointly across missing observation completions. Exact bounded arithmetic only; model assumptions and real experiment validity are not verified. A schema-valid unknown is a successful result at the same fixed price. Invalid input raises native HTTP400 before settlement.

POST https://finops.halowerk.com/v1/beta-mixture-prefix-evidence

Eingaben

Felder des veröffentlichten Eingabeschemas
FeldTypPflichtBeschreibung
p0objectJa
alphaobjectJa
priorobjectJa
sequencearrayJa
claimobjectJa
Vollständiges Eingabeschema anzeigen
{
  "type": "object",
  "additionalProperties": false,
  "properties": {
    "p0": {
      "type": "object",
      "additionalProperties": false,
      "properties": {
        "numerator": {
          "type": "integer",
          "minimum": 1,
          "maximum": 1000
        },
        "denominator": {
          "type": "integer",
          "minimum": 1,
          "maximum": 1000
        }
      },
      "required": [
        "numerator",
        "denominator"
      ]
    },
    "alpha": {
      "type": "object",
      "additionalProperties": false,
      "properties": {
        "numerator": {
          "type": "integer",
          "minimum": 1,
          "maximum": 1000
        },
        "denominator": {
          "type": "integer",
          "minimum": 1,
          "maximum": 1000
        }
      },
      "required": [
        "numerator",
        "denominator"
      ]
    },
    "prior": {
      "type": "object",
      "additionalProperties": false,
      "properties": {
        "a": {
          "type": "integer",
          "minimum": 1,
          "maximum": 8
        },
        "b": {
          "type": "integer",
          "minimum": 1,
          "maximum": 8
        }
      },
      "required": [
        "a",
        "b"
      ]
    },
    "sequence": {
      "type": "array",
      "minItems": 0,
      "maxItems": 16,
      "items": {
        "enum": [
          0,
          1,
          null
        ]
      }
    },
    "claim": {
      "type": "object",
      "additionalProperties": false,
      "properties": {
        "prefixes": {
          "type": "array",
          "minItems": 0,
          "maxItems": 16,
          "items": {
            "type": "object",
            "additionalProperties": false,
            "properties": {
              "wealth": {
                "type": "object",
                "additionalProperties": false,
                "properties": {
                  "numerator": {
                    "type": "string",
                    "pattern": "^(0|[1-9][0-9]{0,79})$"
                  },
                  "denominator": {
                    "type": "string",
                    "pattern": "^[1-9][0-9]{0,79}$"
                  }
                },
                "required": [
                  "numerator",
                  "denominator"
                ]
              },
              "running_max": {
                "type": "object",
                "additionalProperties": false,
                "properties": {
                  "numerator": {
                    "type": "string",
                    "pattern": "^(0|[1-9][0-9]{0,79})$"
                  },
                  "denominator": {
                    "type": "string",
                    "pattern": "^[1-9][0-9]{0,79}$"
                  }
                },
                "required": [
                  "numerator",
                  "denominator"
                ]
              }
            },
            "required": [
              "wealth",
              "running_max"
            ]
          }
        },
        "anytime_p": {
          "type": "object",
          "additionalProperties": false,
          "properties": {
            "numerator": {
              "type": "string",
              "pattern": "^(0|[1-9][0-9]{0,79})$"
            },
            "denominator": {
              "type": "string",
              "pattern": "^[1-9][0-9]{0,79}$"
            }
          },
          "required": [
            "numerator",
            "denominator"
          ]
        },
        "first_crossing": {
          "type": "integer",
          "minimum": 0,
          "maximum": 16
        }
      },
      "required": [
        "prefixes",
        "anytime_p",
        "first_crossing"
      ]
    }
  },
  "required": [
    "p0",
    "alpha",
    "prior",
    "sequence",
    "claim"
  ]
}

Originalschema öffnen

Veröffentlichtes Eingabebeispiel

{
  "p0": {
    "numerator": 1,
    "denominator": 2
  },
  "alpha": {
    "numerator": 1,
    "denominator": 2
  },
  "prior": {
    "a": 1,
    "b": 1
  },
  "sequence": [
    1,
    1,
    1
  ],
  "claim": {
    "prefixes": [
      {
        "wealth": {
          "numerator": "1",
          "denominator": "1"
        },
        "running_max": {
          "numerator": "1",
          "denominator": "1"
        }
      },
      {
        "wealth": {
          "numerator": "4",
          "denominator": "3"
        },
        "running_max": {
          "numerator": "4",
          "denominator": "3"
        }
      },
      {
        "wealth": {
          "numerator": "2",
          "denominator": "1"
        },
        "running_max": {
          "numerator": "2",
          "denominator": "1"
        }
      }
    ],
    "anytime_p": {
      "numerator": "1",
      "denominator": "2"
    },
    "first_crossing": 3
  }
}

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Quelle dieser Seite: der veröffentlichte HALOWERK-Katalog. Stand: 2026-11-07, 02:42 UTC.

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