Pith Number

pith:AQQI7FQ2

pith:2026:AQQI7FQ2TTHDRMPV57RYHEO6WP

not attested not anchored not stored refs pending

A Finite Mixture Failure-rate based Heterogeneous Step-stress Accelerated Life Testing (h-SSALT) Model

Ayan Pal, Kiran Prajapat, Pranoy Palit

A finite mixture of Weibull rates at stepped stresses corrects bias in lifetime quantile estimates.

arxiv:2604.19169 v2 · 2026-04-21 · stat.ME

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\usepackage{pith}
\pithnumber{AQQI7FQ2TTHDRMPV57RYHEO6WP}

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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

An extensive simulation study evaluates the finite-sample performance of the proposed estimators and demonstrates, through a quantile-based comparison, that ignoring population heterogeneity leads to systematic bias in lifetime predictions across the entire quantile range, with the most severe consequences at early failure quantiles of direct relevance to warranty period design.

C2weakest assumption

The assumption that test units exhibit homogeneous behavior at the initial stress level while heterogeneity emerges only at the second stress level through a parametric finite mixture of m latent subgroups.

C3one line summary

A finite mixture failure-rate based heterogeneous step-stress accelerated life testing model with Weibull Type-II censored data, EM estimation, and simulations showing systematic bias from ignoring heterogeneity.

Receipt and verification

First computed	2026-05-21T02:05:03.173595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04208f961a9cce38b1f5efe38391deb3e2aac6b298758247803d2db8a307960f

Aliases

arxiv: 2604.19169 · arxiv_version: 2604.19169v2 · doi: 10.48550/arxiv.2604.19169 · pith_short_12: AQQI7FQ2TTHD · pith_short_16: AQQI7FQ2TTHDRMPV · pith_short_8: AQQI7FQ2

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AQQI7FQ2TTHDRMPV57RYHEO6WP \
  | 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: 04208f961a9cce38b1f5efe38391deb3e2aac6b298758247803d2db8a307960f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8e4b87dcf7f2697a1dc0074ca0fd4383a7743c0e147a6994cd9872ff5bea416",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-04-21T07:28:30Z",
    "title_canon_sha256": "a2217fe19d48ead382591ab99d0554d6942f23385b976a98e0e560d4ebe065dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.19169",
    "kind": "arxiv",
    "version": 2
  }
}