Use one common finite model with parameter indices=Fin(2)={0,…,1}, outcomes=Fin(3)={0,…,2}, complete candidate laws=[[1/19, 1/19, 17/19], [1/2, 1/3, 1/6]], and the single total statistic T=[0, 16, 32] in outcome order. Each law must be nonnegative and sum to 1 before model qualification. T depends on the observation, not the unknown parameter. An observed value is an estimate, while T is the estimator function; no prior or posterior is supplied. Retain four literal No claim markers in the declared tuple. Give (statistic, claim_marker_1, claim_marker_2, claim_marker_3, claim_marker_4, boundary).
G001 — Use one common finite model with parameter indices=Fin(2)={0,…,1}, outcomes=Fin(3)={0,…,2}, complete candidate laws=[[1/19, 1/19, 17/19], [1/2, 1/3, 1/6]], and the single total statistic T=[0, 16, 32] in outcome order. Each law must be nonnegative and sum to 1 before model qualification. T depends on the observation, not the unknown parameter. An observed value is an estimate, while T is the estimator function; no prior or posterior is supplied. Retain four literal No claim markers in the declared tuple. Give (statistic, claim_marker_1, claim_marker_2, claim_marker_3, claim_marker_4, boundary).
Definition and scope
Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.
Keep the historical interface marker in the original snapshot while giving ordered fields here,without JavaScript or an external table.Labels are not mathematical evidence,and each No marker retains the operation's claim scope.
original parameter carrier Fin(2);common outcome carrier Fin(3);ONE original statistic array=[0, 16, 32]
After
all model laws qualified=Yes;one value per outcome=Yes;SAME statistic map T(o) at EVERY parameter
Conditions: none
The statistic definition takes an observation index,not the unknown parameter.This is functional parameter-independence,not a claim that the law or expectation of T(X) is parameter-free.No estimand,prior or posterior has been supplied.
single total statistic=[0, 16, 32];model qualified=Yes;no estimand/prior/asymptotic sampling sequence supplied
After
four literal No markers WITHHOLD claims;not four failed tests;no_unbiased_consistent_sufficient_identifiable_or_posterior_claim
Conditions: none
The four No values withhold definition-level claims;they do not prove bias,inconsistency or other negated properties.Without an estimand and asymptotic sampling setup,do not invent and decide those questions.
S007 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S006 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S005 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S004 · premise_and_result_audit — Recompute estimator parameter1 complete law sum with exact rational arithmetic, not rounded decimals.
S003 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S002 · premise_and_result_audit — Recompute estimator parameter0 complete law sum with exact rational arithmetic, not rounded decimals.
S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
Result
([0, 16, 32], No, No, No, No, no_unbiased_consistent_sufficient_identifiable_or_posterior_claim)
The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.
This question review and source binding
Review date: 2026-10-26
Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.