{ "model": { "rank": 16441, "code": "thing-q1130160", "model_id": "vr.tr.estimator", "name": "estimator", "purpose": "Let an agent define estimators and their properties, relay major kinds and evaluation criteria from statistical references, explain their use in data analysis and machine learning, and distinguish the statistical sense from the occupational sense.", "family": "Thing Registry", "category": "Cross-cutting context", "status": "research-draft", "kind": "thing", "plane": "XCT", "domain": "XCT.QLT", "industry": "", "version": "", "url": "/models/thing/q1130160/", "tier": 2, "score": 32, "payload": { "layer": "wikidata", "aliases": [ "multivariate kernel density estimation", "RANSAC", "unbiased estimator", "maximum likelihood estimator", "Parzen-Tree Estimator", "regular estimator", "efficient estimator", "Trimmed estimator", "S-estimator", "kernel density estimation", "adaptive estimator", "M-estimator", "Brain connectivity estimators", "Extremum estimator", "First-difference estimator", "Hodges' estimator", "Invariant estimator", "L-estimator", "shrinkage estimator", "Bayes estimator" ], "aliasCount": 20, "merged": 20, "knownIn": 32, "facets": null, "markers": [], "lexicalClass": "", "senseRank": null, "alsoRegisteredAs": null, "source": { "dataset": "wikidata", "item": "Q1130160", "url": "https://www.wikidata.org/wiki/Q1130160", "license": "CC0 1.0" } }, "research": { "vercy": "1.0-draft", "publication": { "status": "research-draft", "adjudicationStatus": "unreviewed", "publishableCanonical": false, "generatedAt": "2026-09-13T00:25:56Z", "providers": [ "Claude" ], "breadth": "written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify", "pass": 2, "wave": 3, "engine": "claude" }, "metaModel": { "id": "THING-Q1130160", "registryId": "vr.tr.estimator", "name": "estimator", "version": "0.2.0-wave.3", "entryKind": "thing", "family": "Thing Registry", "domain": [ "XCT.QLT" ], "status": "research-draft" }, "canonicalUrl": "https://ver.cy/models/thing/q1130160/", "model": { "registry_id": "vr.tr.estimator", "name": "estimator", "purpose": "Let an agent define estimators and their properties, relay major kinds and evaluation criteria from statistical references, explain their use in data analysis and machine learning, and distinguish the statistical sense from the occupational sense.", "definition": "In statistics, a rule or function that computes an estimate of an unknown population parameter from sample data, such as the sample mean as an estimator of the population mean, maximum likelihood estimators, unbiased estimators, kernel density estimators and robust estimators such as RANSAC used in computer vision; estimators are evaluated by properties such as bias, variance, consistency and efficiency, and the term also names a person who estimates costs in construction and insurance.", "what_it_is_for": "Estimating unknown quantities from data.", "affordances": [ "define and explain properties", "relay major kinds", "explain use in analysis", "distinguish senses" ], "distinguishing_features": [ "Function of the sample", "Bias and variance", "Consistency and efficiency", "Many construction principles" ], "appearance": "Not a visible object; a formula or algorithm applied to data.", "visual_identification": [ "Rule computing an estimate from a sample", "Mean, maximum likelihood, unbiased, kernel, robust estimators", "An estimate is the value produced; a cost estimator is an occupation" ], "physical_properties": [], "families_and_kinds": [ "point estimators such as the sample mean and variance", "maximum likelihood and method of moments estimators", "unbiased and minimum variance estimators", "Bayesian estimators", "nonparametric estimators such as kernel density estimation", "robust estimators such as RANSAC and M-estimators", "estimators in machine learning such as tree-structured Parzen estimators" ], "related_models": [ { "relation": "is a kind of", "target": "statistic", "why": "in registry terms" }, { "relation": "is a kind of", "target": "function", "why": "in registry terms" }, { "relation": "estimates", "target": "parameter", "why": "of a population or model" }, { "relation": "is evaluated by", "target": "mean squared error", "why": "among other criteria" } ], "identifiers": [], "standards_and_regulation": [ "Statistical methodology standards in official statistics", "No regulation of the concept" ], "failure_modes_and_hazards": [ "Biased or inconsistent estimators", "Misapplied assumptions", "Confusing estimator and estimate", "Confusing with the occupation" ], "in_scope": [], "out_of_scope": [], "characteristics": [] }, "sources": [], "structure": { "bundles": [ { "id": "define", "name": "Define", "description": "Definition and properties.", "rationale": "Statistics.", "layers": [ { "id": "definition", "name": "Definition", "description": "Definition.", "findings": [ { "id": "definition-finding", "name": "Definition", "description": "Definition.", "questions": [ { "text": "What is an estimator, and how does it differ from an estimate and a parameter?", "kind": "definition" }, { "text": "Is the question about statistics or the cost estimating occupation?", "kind": "boundary" } ] } ] }, { "id": "properties", "name": "Properties", "description": "Properties.", "findings": [ { "id": "properties-finding", "name": "Properties", "description": "Properties.", "questions": [ { "text": "What are bias, variance, consistency, efficiency and sufficiency?", "kind": "definition" }, { "text": "Which entry fits the specific property?", "kind": "action" } ] } ] } ] }, { "id": "kinds", "name": "Kinds", "description": "Kinds of estimator.", "rationale": "Statistics.", "layers": [ { "id": "classical", "name": "Classical", "description": "Classical estimators.", "findings": [ { "id": "classical-finding", "name": "Classical", "description": "Classical.", "questions": [ { "text": "How do maximum likelihood, method of moments and least squares estimators work?", "kind": "provenance" }, { "text": "Which references are standard?", "kind": "provenance" } ] } ] }, { "id": "modern", "name": "Modern", "description": "Nonparametric and robust.", "findings": [ { "id": "modern-finding", "name": "Modern", "description": "Modern.", "questions": [ { "text": "How do kernel density estimators, RANSAC and other robust and nonparametric methods work?", "kind": "provenance" }, { "text": "Which entry fits the specific method?", "kind": "action" } ] } ] } ] }, { "id": "apply", "name": "Apply", "description": "Applications.", "rationale": "Practice.", "layers": [ { "id": "analysis", "name": "Analysis", "description": "Data analysis.", "findings": [ { "id": "analysis-finding", "name": "Analysis", "description": "Analysis.", "questions": [ { "text": "How are estimators chosen and evaluated in practice, including the bias-variance trade-off?", "kind": "action" }, { "text": "Which entry fits statistical inference?", "kind": "action" } ] } ] }, { "id": "learning", "name": "Learning", "description": "Machine learning.", "findings": [ { "id": "learning-finding", "name": "Learning", "description": "Learning.", "questions": [ { "text": "How do estimators appear in machine learning, including hyperparameter methods such as tree-structured Parzen estimators?", "kind": "provenance" }, { "text": "Which sources are cited?", "kind": "provenance" } ] } ] } ] }, { "id": "context", "name": "Context", "description": "Theory and history.", "rationale": "Context.", "layers": [ { "id": "theory", "name": "Theory", "description": "Theory.", "findings": [ { "id": "theory-finding", "name": "Theory", "description": "Theory.", "questions": [ { "text": "What do the Cramer-Rao bound and decision theory say about optimal estimators?", "kind": "provenance" }, { "text": "Which entry fits estimation theory?", "kind": "action" } ] } ] }, { "id": "history", "name": "History", "description": "History.", "findings": [ { "id": "history-finding", "name": "History", "description": "History.", "questions": [ { "text": "How did estimation theory develop from Gauss and Laplace to Fisher and beyond?", "kind": "provenance" }, { "text": "Which entry fits the history of statistics?", "kind": "action" } ] } ] } ] } ] }, "openQuestions": [ "Should maximum likelihood estimation be a separate primary entry?", "How should statistical references be linked?", "The registry entry has merged aliases naming specific methods; should they be split off?" ], "statistics": { "bundles": 4, "layers": 8, "findings": 8, "questions": 16 } }, "draft": { "generator": "vr.draft.v3", "status": "draft-generated", "researched": false, "archetype": "abstract concept", "method": "Written from the archetype playbook - what this kind of thing needs beyond identity and provenance - and from the structure that recurred across 6,333 models already researched by two engines. Applied to this entry by rule. No source was read for this thing and no claim here is researched. This entry carries no facets of its own, so they were inferred from its domain - a guess about a whole domain applied to one thing.", "facetsInferred": true, "nextPass": "A researcher replaces this draft with a sourced specification. Treat every sentence below as a proposal to argue with.", "purpose": "Give an agent a durable, checkable way to recognise a estimator, record what state it is in, and decide what may be done with it.", "whatItIs": "Let an agent define estimators and their properties, relay major kinds and evaluation criteria from statistical references, explain their use in data analysis and machine learning, and distinguish the statistical sense from the occupational sense.", "characteristics": { "substance": "abstract", "origin": "conceptual", "agency": "inert" }, "whatYouCanDoWithIt": [ "observed and measured" ], "distinguishingFeatures": [ "Names folded into this entry, which a task may need to split apart again: multivariate kernel density estimation, RANSAC, unbiased estimator, maximum likelihood estimator, Parzen-Tree Estimator, regular estimator, efficient estimator, Trimmed estimator, S-estimator, kernel density estimation, adaptive estimator, M-estimator.", "20 finer distinctions are held as aliases rather than separate entries, because telling them apart needs a task that asks for it.", "Described in 32 Wikipedia languages, which is a measure of how widely the thing is known, not of how important it is." ], "openQuestionsForResearch": [ "Which of the bundles below does a real task actually need, and which are ceremony?", "What does this thing have that the facets do not capture at all?", "Which neighbouring kind is most often confused with a estimator, and on what evidence are they told apart?" ], "whatItIsMadeOf": "an abstraction with no physical instance", "physicalCharacter": [ "Does nothing on its own; everything it does, something else did to it.", "These come from the domain this entry sits in rather than from the entry itself, so treat them as a first guess about the whole domain applied to one thing." ], "whatCanBeDoneWithIt": [ "observe it, measure it, record its state" ], "howItIsRecognised": [ "Nothing to see. What is recognised is an instance of it, and which instances count is exactly what is argued about." ], "relatedModels": [ { "relation": "covers", "note": "Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.", "targets": [ "multivariate kernel density estimation", "RANSAC", "unbiased estimator", "maximum likelihood estimator", "Parzen-Tree Estimator", "regular estimator", "efficient estimator", "Trimmed estimator", "S-estimator", "kernel density estimation", "adaptive estimator", "M-estimator" ] } ], "standing": "Described in 32 Wikipedia languages, which measures how widely it is written about rather than how important or how common it is. 20 finer distinctions are held inside this entry as names rather than as separate models.", "structure": { "bundles": [ { "id": "identity-and-classification", "name": "Identity, naming and classification", "description": "How an agent tells one estimator from another, and a estimator from things that resemble it.", "rationale": "Recognition comes before every other claim. Without stable identity nothing else in the model can be trusted to be about the same thing twice.", "layers": [ { "id": "naming-and-identifiers", "name": "Names and identifiers", "description": "The names this thing goes by and the identifiers that survive translation and time.", "findings": [ { "id": "preferred-name-and-aliases", "name": "Preferred name, aliases and local names", "description": "Which name to use, which names mean the same thing, and which merely sound similar.", "questions": [ { "id": "preferred-name-and-aliases-q01", "text": "What identifies and describes the name of a estimator, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "preferred-name-and-aliases-q02", "text": "Who or what asserted this about the name of a estimator, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "preferred-name-and-aliases-q03", "text": "What may an agent decide or do once the name of a estimator is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] }, { "id": "stable-identifiers", "name": "Stable identifiers and external keys", "description": "Identifiers that keep pointing at this kind of thing across systems and languages.", "questions": [ { "id": "stable-identifiers-q01", "text": "What identifies and describes an identifier for a estimator, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "stable-identifiers-q02", "text": "Who or what asserted this about an identifier for a estimator, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "stable-identifiers-q03", "text": "What may an agent decide or do once an identifier for a estimator is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "classification-and-granularity", "name": "Classification and granularity", "description": "Where a estimator sits among kinds, and how finely a task needs to cut it.", "findings": [ { "id": "kind-and-parents", "name": "Kind, parents and neighbouring kinds", "description": "The classes this thing belongs to and the ones it is next to.", "questions": [ { "id": "kind-and-parents-q01", "text": "What identifies and describes the kind of a estimator, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "kind-and-parents-q02", "text": "Who or what asserted this about the kind of a estimator, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "kind-and-parents-q03", "text": "What may an agent decide or do once the kind of a estimator is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] }, { "id": "distinguishing-features", "name": "Distinguishing features", "description": "What separates a estimator from the things most often confused with it.", "questions": [ { "id": "distinguishing-features-q01", "text": "What identifies and describes what distinguishes a estimator, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "distinguishing-features-q02", "text": "Who or what asserted this about what distinguishes a estimator, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "distinguishing-features-q03", "text": "What may an agent decide or do once what distinguishes a estimator is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] }, { "id": "state-and-lifecycle", "name": "State and lifecycle", "description": "The states a estimator passes through and the events that move it between them.", "rationale": "Most decisions about a thing depend on what state it is in now, which is a claim with a time on it, not a property.", "layers": [ { "id": "lifecycle-stages", "name": "Lifecycle stages", "description": "From coming into existence to ceasing to be one of these.", "findings": [ { "id": "stages-and-transitions", "name": "Stages and transitions", "description": "The stages worth naming and what moves a estimator between them.", "questions": [ { "id": "stages-and-transitions-q01", "text": "What identifies and describes the lifecycle of a estimator, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "stages-and-transitions-q02", "text": "Who or what asserted this about the lifecycle of a estimator, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "stages-and-transitions-q03", "text": "What may an agent decide or do once the lifecycle of a estimator is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "observations-and-status", "name": "Observations and current status", "description": "What is observed about a estimator, how often and by whom.", "findings": [ { "id": "observation-record", "name": "Observation record", "description": "How an observation of a estimator is recorded so that it can be superseded rather than overwritten.", "questions": [ { "id": "observation-record-q01", "text": "What identifies and describes an observation of a estimator, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "observation-record-q02", "text": "Who or what asserted this about an observation of a estimator, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "observation-record-q03", "text": "What may an agent decide or do once an observation of a estimator is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] }, { "id": "definitions-in-contest", "name": "Definitions and who holds them", "description": "What estimator is taken to mean, and by whom.", "rationale": "When a field disagrees about a concept, the disagreement is the content. A model that picks one definition silently destroys the information.", "layers": [ { "id": "competing-definitions", "name": "Competing definitions", "description": "The main readings and the traditions behind them.", "findings": [ { "id": "definition-map", "name": "Definitions and their holders", "description": "Each definition with the school or body that holds it.", "questions": [ { "id": "definition-map-q01", "text": "Which definitions of estimator are in use, and which tradition or body holds each?", "kind": "definition" }, { "id": "definition-map-q02", "text": "What turns on the difference between them in practice?", "kind": "boundary" } ] } ] }, { "id": "operationalisation", "name": "Operationalisation", "description": "How it is measured or applied when it has to be.", "findings": [ { "id": "operational-record", "name": "Measures and proxies", "description": "Instruments and indicators used to stand in for it.", "questions": [ { "id": "operational-record-q01", "text": "How is estimator operationalised or measured in practice, and by what instrument?", "kind": "measurement" }, { "id": "operational-record-q02", "text": "What does that operationalisation leave out, and when does that matter?", "kind": "boundary" } ] } ] } ] }, { "id": "instances-and-use", "name": "Instances, use and consequence", "description": "What counts as an instance of estimator and what follows from calling something that.", "rationale": "Applying a concept is an act with consequences, so a model must say what the label licenses and what it does not.", "layers": [ { "id": "instances", "name": "What counts as an instance", "description": "Clear cases, borderline cases and non-cases.", "findings": [ { "id": "instance-tests", "name": "Tests for an instance", "description": "What would settle whether something falls under it.", "questions": [ { "id": "instance-tests-q01", "text": "What would settle whether something is an instance of estimator?", "kind": "boundary" }, { "id": "instance-tests-q02", "text": "Which borderline cases are argued about, and on what grounds?", "kind": "definition" } ] } ] }, { "id": "consequence", "name": "Consequence of application", "description": "Rights, duties or decisions that follow from the label.", "findings": [ { "id": "consequence-record", "name": "What the label licenses", "description": "What an agent may do once something is classified this way.", "questions": [ { "id": "consequence-record-q01", "text": "What follows practically once something is treated as estimator?", "kind": "action" }, { "id": "consequence-record-q02", "text": "What must an agent not infer from the label alone?", "kind": "action" } ] } ] } ] }, { "id": "provenance-and-evidence", "name": "Provenance, evidence and time", "description": "Where every claim about a estimator came from and when it held.", "rationale": "A claim without a source and a time cannot be superseded, only overwritten, and an agent that overwrites loses the ability to explain itself.", "layers": [ { "id": "source-and-authority", "name": "Source and authority", "description": "Who said it, on what evidence, and how strongly.", "findings": [ { "id": "claim-provenance", "name": "Claim provenance and confidence", "description": "The authority behind each claim about a estimator and how confident it is.", "questions": [ { "id": "claim-provenance-q01", "text": "What identifies and describes a claim about a estimator, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "claim-provenance-q02", "text": "Who or what asserted this about a claim about a estimator, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "claim-provenance-q03", "text": "What may an agent decide or do once a claim about a estimator is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] }, { "id": "time-and-versions", "name": "Time, versions and supersession", "description": "When a claim was true, when it was learnt, and what replaced it.", "findings": [ { "id": "validity-and-supersession", "name": "Validity period and supersession", "description": "How an old claim about a estimator is retired without being erased.", "questions": [ { "id": "validity-and-supersession-q01", "text": "What identifies and describes the validity of a claim about a estimator, and in what units or vocabulary?", "kind": "definition", "answer_data": [ "identifiers", "types and classes", "values with units", "explicit unknowns" ] }, { "id": "validity-and-supersession-q02", "text": "Who or what asserted this about the validity of a claim about a estimator, by which method, and when was it true?", "kind": "provenance", "answer_data": [ "authority", "method", "evidence", "event time", "knowledge time" ] }, { "id": "validity-and-supersession-q03", "text": "What may an agent decide or do once the validity of a claim about a estimator is known, and what must it refuse?", "kind": "action", "answer_data": [ "permitted actions", "preconditions", "refusals", "escalation" ] } ] } ] } ] } ] }, "statistics": { "bundles": 5, "layers": 10, "findings": 12, "questions": 32 } } } }