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Paper Citation Record · LEDGER

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components

As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2506.05773.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.05773 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:20:17.929935Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d1ccb2c9-636d-4a63-b278-abbd1e806fde · outbound

This paper cites An annotated overview of system-reliability opti- mization.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components An annotated overview of system-reliability opti- mization

Reference 1

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verified fuzzy
raw_fallback, observed 2026-08-07T10:20:18.226330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 83c0540f-93f8-4503-b855-e34e6a8536df · outbound

This paper cites Order Statistics: An Introduction.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Order Statistics: An Introduction

Reference 2

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raw_fallback, observed 2026-08-07T10:20:18.215951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation df5e028b-453f-46eb-b121-2e34ec058fa6 · outbound

This paper cites Order Statistics.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Order Statistics

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation f0ecb46a-626c-4efe-9fec-b52aafa9513e · outbound

This paper cites Stochastic Orders.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Stochastic Orders

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation c6a1c287-defb-44a9-b6d0-ba2585830516 · outbound

This paper cites Applications of likelihood ratio orderings in economics.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Applications of likelihood ratio orderings in economics

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.860851Z digest=sha256:e17225dfce4245469acffe3f92a94a71483a7f64d3f70a1b50d06cbe12e594ef

Observation d4a61b9b-2b9a-49be-b3a9-f60c7cde5ae2 · outbound

This paper cites The hazard rate and the reversed hazard rate orders, with applications to order statistics.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components The hazard rate and the reversed hazard rate orders, with applications to order statistics

Reference 6

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raw_fallback, observed 2026-08-07T10:20:18.174416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.864994Z digest=sha256:e32e8c85c526ed7c6f9263dd7fdb3794f758547c6e7f512f627da24bc2bc0ccf

Observation 3bae111d-de87-4b0d-8703-12289009f925 · outbound

This paper cites Stochastic comparisons of series and parallel systems with generalized exponential components.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Stochastic comparisons of series and parallel systems with generalized exponential components

Reference 7

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raw_fallback, observed 2026-08-07T10:20:18.164628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.868853Z digest=sha256:ac37abc1d35b92fe8928cae73f0b4a206218c0b1eb5010c56767e1c9ee6080d6

Observation e156cba8-f594-4b91-843a-54ae61f8e06f · outbound

This paper cites Stochastic comparisons in systems with Fr` echet distributed components.Operations Research Letters, 43(6):612– 615, 2015.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Stochastic comparisons in systems with Fr` echet distributed components.Operations Research Letters, 43(6):612– 615, 2015

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation da0d49da-2613-4615-a2cd-ce5470f85420 · outbound

This paper cites Stochastic comparisons of parallel systems with exponentiated Weibull components.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Stochastic comparisons of parallel systems with exponentiated Weibull components

Reference 9

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raw_fallback, observed 2026-08-07T10:20:18.144807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.876028Z digest=sha256:8c936e628dee3ddfdd078ece98e595fe2f088c91bee2faf6f1a60c27821e284d

Observation 6cd52591-24bf-4c92-9e44-f3913c8e519d · outbound

This paper cites Stochastic comparison of parallel systems with log-Lindley distributed components.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Stochastic comparison of parallel systems with log-Lindley distributed components

Reference 10

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raw_fallback, observed 2026-08-07T10:20:18.134822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8f22fdf2-3c82-46e7-9a40-994f1263cae4 · outbound

This paper cites New results on stochastic comparison of order statistics from heterogeneous Weibull populations.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components New results on stochastic comparison of order statistics from heterogeneous Weibull populations

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.882939Z digest=sha256:e613f3b32098b7bebde9309ca925f236173ee13e5f2807ee38cdbe87f20167c2

Observation 212e1397-b20a-4674-b68c-c29ee486ccd5 · outbound

This paper cites New results on stochastic comparisons of two- component series and parallel systems.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components New results on stochastic comparisons of two- component series and parallel systems

Reference 12

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raw_fallback, observed 2026-08-07T10:20:18.115426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.886133Z digest=sha256:5249ecf873261ed56d4c042ea5267e36f4779697ef15da919a64106aa15aef17

Observation a850bf67-a41d-4f02-b8c9-9b08d3c8cc0b · outbound

This paper cites Stochastic order relations among parallel systems from Weibull distributions.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Stochastic order relations among parallel systems from Weibull distributions

Reference 13

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raw_fallback, observed 2026-08-07T10:20:18.105014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.889791Z digest=sha256:c17bd3adcbb6c0766d78e92dfc30f370df0271c35a63a4752bf9882920cc356a

Observation e586f252-0dd9-43b7-be1c-66bd4cea03c3 · outbound

This paper cites Ordering properties of order statistics from heterogeneous exponentiated Weibull models.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Ordering properties of order statistics from heterogeneous exponentiated Weibull models

Reference 14

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raw_fallback, observed 2026-08-07T10:20:18.094971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 147e8eed-3ed0-4d2f-bfaf-86a659f763bb · outbound

This paper cites Ordering of series and parallel systems comprising heterogeneous generalized modified Weibull com- ponents.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Ordering of series and parallel systems comprising heterogeneous generalized modified Weibull com- ponents

Reference 15

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verified fuzzy
raw_fallback, observed 2026-08-07T10:20:18.084334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.896612Z digest=sha256:758f43cd41aab7672ce70ce73c147d90022ca0d3be790c5a1f421e49d9d93b8a

Observation add6123d-4aa4-47a8-aac6-5ae54d290383 · outbound

This paper cites Some stochastic compar- ison results for series and parallel systems with heterogeneous Pareto type components.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Some stochastic compar- ison results for series and parallel systems with heterogeneous Pareto type components

Reference 16

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raw_fallback, observed 2026-08-07T10:20:18.073075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.900064Z digest=sha256:f61a3d29f640ecda3ce32aea14d328f440d11655eabb1ca5c6dfb286577aad40

Observation 1be4523c-42ae-4c79-af27-ea26098bf47e · outbound

This paper cites Stochastic comparisons of parallel systems with generalized Kumaraswamy-G components.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Stochastic comparisons of parallel systems with generalized Kumaraswamy-G components

Reference 17

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raw_fallback, observed 2026-08-07T10:20:18.061797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 37e325e0-cf6b-48a6-a0c4-15df1dd4f0d9 · outbound

This paper cites Some results on stochastic com- parisons of two finite mixture models with general components.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Some results on stochastic com- parisons of two finite mixture models with general components

Reference 18

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raw_fallback, observed 2026-08-07T10:20:18.050407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.906561Z digest=sha256:79b3cb9bc4813ec568955c0bfa7e8c8b740e4b60515924ccc4017ed8c3de3016

Observation adbe7816-87c7-4f03-a459-bdee42d6a321 · outbound

This paper cites Usual stochastic and reversed hazard orders of parallel systems with independent heterogeneous compo- nents.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Usual stochastic and reversed hazard orders of parallel systems with independent heterogeneous compo- nents

Reference 19

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 52498942-142e-4c89-a83f-aa99b7a6e410 · outbound

This paper cites A new response time distribution.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components A new response time distribution

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.912875Z digest=sha256:5e5b0f480fce02fca7239f55c5508f1bac472f0f2be7450fc13d16bd5cbb05b2

Observation 578a853e-da02-4a99-9a77-4f41925ca112 · outbound

This paper cites Analysis for the linear failure-rate life-testing distribution.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Analysis for the linear failure-rate life-testing distribution

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.916621Z digest=sha256:a891746c5ecc374dceff0ef5b519ba4fbacc2f68c5afa4d0f94792484adde9cb

Observation 3b9aac39-f456-45fa-b971-c09d19433f73 · outbound

This paper cites Inference procedures for the linear failure rate model.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Inference procedures for the linear failure rate model

Reference 22

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raw_fallback, observed 2026-08-07T10:20:17.998810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.920298Z digest=sha256:cb68e1eb36034125a9db2ad271aa12409d52b622e076f2898de4dcd8473895cd

Observation 10327b75-0bc9-440e-a229-8a0fa7e0aab9 · outbound

This paper cites Comparison methods for stochastic models and risks.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Comparison methods for stochastic models and risks

Reference 23

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raw_fallback, observed 2026-08-07T10:20:17.986340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.923541Z digest=sha256:b338d77dbab42e2ee360bbefc5a99adcf47c284e906b1ba8162ca193a6106951

Observation e49380b3-845b-464a-a826-dc36fabbdd19 · outbound

This paper cites Stochastic orders in reliability and risk.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Stochastic orders in reliability and risk

Reference 24

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raw_fallback, observed 2026-08-07T10:20:17.974881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.926837Z digest=sha256:f4ee6062ba77835b75f8f10595bbdd4202c45213d93a86c9dccd816ee08a1418

Observation b29b7bc6-4011-49d2-9b14-a4dcded93d08 · outbound

This paper cites Variability ordering of heavy-tailed distributions with applications to order statistics.

Ordering Results between Two Extreme Order Statistics with Heterogeneous Linear Failure Rate Distributed Components Variability ordering of heavy-tailed distributions with applications to order statistics

Reference 25

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raw_fallback, observed 2026-08-07T10:20:17.962351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:20:17.929935Z digest=sha256:29a5810ea645d4e086eb00f1eefb78c4b8f297e7f82395afdb15ef57d1dd476a

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