Pith Number

pith:YECSN2TQ

pith:2024:YECSN2TQ3MDWB5BG2U6OGAWFFG

not attested not anchored not stored refs pending

Spatial Principal Component Analysis and Moran Statistics for Multivariate Functional Areal Data

Alaa Ali-Hassan, Dharini Pathmanathan, Issa-Mbenard Dabo, Sophie Dabo-Niang, Tzung Hsuen Khoo

Multivariate functional Moran's I and mfasPCA measure spatial autocorrelation in functional areal data.

arxiv:2408.08630 v3 · 2024-08-16 · stat.ME

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\usepackage{pith}
\pithnumber{YECSN2TQ3MDWB5BG2U6OGAWFFG}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Through comprehensive simulation studies and an application to empirical data, we demonstrate the efficacy of multivariate functional Moran's I, mfasPCA, and the proposed testing framework in accurately assessing spatial autocorrelation and structural patterns in functional areal data.

C2weakest assumption

The assumption that the simulation studies and empirical application are representative enough to establish the accuracy and general utility of the new statistics and testing procedures for functional areal data (abstract, final sentence).

C3one line summary

The paper develops multivariate functional Moran's I, mfasPCA, and a permutation-based testing framework to detect spatial autocorrelation in multivariate functional areal data.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-04T01:08:26.072677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c10526ea70db0760f426d53ce302c52989ee42b7fa7c6fd17c8af53ebbb27fe5

Aliases

arxiv: 2408.08630 · arxiv_version: 2408.08630v3 · doi: 10.48550/arxiv.2408.08630 · pith_short_12: YECSN2TQ3MDW · pith_short_16: YECSN2TQ3MDWB5BG · pith_short_8: YECSN2TQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/YECSN2TQ3MDWB5BG2U6OGAWFFG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c10526ea70db0760f426d53ce302c52989ee42b7fa7c6fd17c8af53ebbb27fe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce31d2ef1f9c5313029fa95f239e09080412f3f365b086d82f15d784a5829851",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2024-08-16T09:49:34Z",
    "title_canon_sha256": "60ff9a633df5eafb3930e1ecd2a47050a2b395c4b0698d913c13650b79f37ef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.08630",
    "kind": "arxiv",
    "version": 3
  }
}