Pith Number

pith:IDVM6JAF

pith:2026:IDVM6JAF7MVOEOEOOOSDPF2ERJ

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Optimal sequential tests yield log-optimal e-processes

Aaditya Ramdas, Ashwin Ram

Asymptotically optimal sequential tests can be aggregated into asymptotically log-optimal e-processes using WAIT e-processes.

arxiv:2605.12720 v1 · 2026-05-12 · math.ST · math.PR · stat.ML · stat.TH

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Claims

C1strongest claim

it is possible to aggregate asymptotically optimal sequential tests into asymptotically log-optimal e-processes. This is accomplished by using a new class of WAIT e-processes.

C2weakest assumption

The definitions of asymptotic optimality for tests and log-optimality for e-processes are compatible in the sense that the optimal rate for stopping times directly translates to the optimal growth rate for the e-process under the alternative.

C3one line summary

Asymptotically optimal sequential tests can be aggregated into asymptotically log-optimal e-processes via Weighted Aggregates of Indicators of stopping Times (WAIT e-processes).

References

36 extracted · 36 resolved · 0 Pith anchors

[1] and Ramdas, Aaditya , journal= 2023

[2] New England Journal of Statistics in Data Science , volume= 2024

[3] Howard and Aaditya Ramdas and Jon McAuliffe and Jasjeet S

[4] Journal of the Royal Statistical Society: Series B (Statistical Methodology) , year =

[5] Ramdas, Aaditya and Wang, Ruodu , title =. Foundations and Trends. 2025 , volume = 2025

Receipt and verification

First computed	2026-05-18T03:09:49.407702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40eacf2405fb2ae2388e73a43797448a513c406649dbc2ae7525159f8872adad

Aliases

arxiv: 2605.12720 · arxiv_version: 2605.12720v1 · doi: 10.48550/arxiv.2605.12720 · pith_short_12: IDVM6JAF7MVO · pith_short_16: IDVM6JAF7MVOEOEO · pith_short_8: IDVM6JAF

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/IDVM6JAF7MVOEOEOOOSDPF2ERJ \
  | 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: 40eacf2405fb2ae2388e73a43797448a513c406649dbc2ae7525159f8872adad

Canonical record JSON

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    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-05-12T20:27:17Z",
    "title_canon_sha256": "c083df169433f501550e190a2270c3608734e939e9c3c41dc719c08ae9e050ba"
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