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		<id>http://www.colloquiam.com/wd/index.php?action=history&amp;feed=atom&amp;title=Alotaibi_et_al_2025b</id>
		<title>Alotaibi et al 2025b - Revision history</title>
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		<updated>2026-05-11T04:57:13Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://www.colloquiam.com/wd/index.php?title=Alotaibi_et_al_2025b&amp;diff=323938&amp;oldid=prev</id>
		<title>Scipediacontent: Scipediacontent moved page Review 935298394598 to Alotaibi et al 2025b</title>
		<link rel="alternate" type="text/html" href="http://www.colloquiam.com/wd/index.php?title=Alotaibi_et_al_2025b&amp;diff=323938&amp;oldid=prev"/>
				<updated>2025-09-23T09:18:52Z</updated>
		
		<summary type="html">&lt;p&gt;Scipediacontent moved page &lt;a href=&quot;/public/Review_935298394598&quot; class=&quot;mw-redirect&quot; title=&quot;Review 935298394598&quot;&gt;Review 935298394598&lt;/a&gt; to &lt;a href=&quot;/public/Alotaibi_et_al_2025b&quot; title=&quot;Alotaibi et al 2025b&quot;&gt;Alotaibi et al 2025b&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr style='vertical-align: top;' lang='en'&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 09:18, 23 September 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan='2' style='text-align: center;' lang='en'&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
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		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>http://www.colloquiam.com/wd/index.php?title=Alotaibi_et_al_2025b&amp;diff=323883&amp;oldid=prev</id>
		<title>JSanchez: JSanchez moved page Draft Sanchez Pinedo 610451629 to Review 935298394598</title>
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				<updated>2025-09-23T07:50:07Z</updated>
		
		<summary type="html">&lt;p&gt;JSanchez moved page &lt;a href=&quot;/public/Draft_Sanchez_Pinedo_610451629&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Sanchez Pinedo 610451629&quot;&gt;Draft Sanchez Pinedo 610451629&lt;/a&gt; to &lt;a href=&quot;/public/Review_935298394598&quot; class=&quot;mw-redirect&quot; title=&quot;Review 935298394598&quot;&gt;Review 935298394598&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr style='vertical-align: top;' lang='en'&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 07:50, 23 September 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan='2' style='text-align: center;' lang='en'&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>JSanchez</name></author>	</entry>

	<entry>
		<id>http://www.colloquiam.com/wd/index.php?title=Alotaibi_et_al_2025b&amp;diff=323882&amp;oldid=prev</id>
		<title>JSanchez: Created page with &quot; == Abstract ==  &lt;p&gt;This study explores a general framework for reliability analysis named progressive interval Type-I censoring within a multi-stage step-stress partially acc...&quot;</title>
		<link rel="alternate" type="text/html" href="http://www.colloquiam.com/wd/index.php?title=Alotaibi_et_al_2025b&amp;diff=323882&amp;oldid=prev"/>
				<updated>2025-09-23T07:50:05Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot; == Abstract ==  &amp;lt;p&amp;gt;This study explores a general framework for reliability analysis named progressive interval Type-I censoring within a multi-stage step-stress partially acc...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;p&amp;gt;This study explores a general framework for reliability analysis named progressive interval Type-I censoring within a multi-stage step-stress partially accelerated life testing setting. A more flexible alternative to the traditional exponential model, known as the length-biased exponential (LBE) distribution, is employed to model failure times. Due to its symmetrical feature, it has extensive applications in real-world domains such as survival analysis, actuarial science, reliability, and mathematical finance. The maximum likelihood approach of estimation is utilized to estimate the model parameters, along with bootstrapping techniques to assess estimation efficiency. Confidence intervals for the LBE parameters are also derived based on asymptotic variances. To optimize the inspection period, two competing optimality criteria&amp;amp;mdash;variance minimization (Varoptimality) and determinant maximization (D-optimality)&amp;amp;mdash;are investigated. A comprehensive Monte Carlo simulation study is conducted to evaluate the performance of different estimation strategies, demonstrating the superiority of the proposed methodology. Steel is particularly valued for its toughness, wear resistance, and hardness, all of which can be significantly modified through heat treatment and annealing processes. So, a real-world application using hardened steel failure data validates the practical relevance of the developed inferential framework. The findings offer valuable insights for statisticians and reliability engineers in designing efficient life-testing experiments under constrained resources.OPEN ACCESS Received: 21/03/2025 Accepted: 07/05/2025 Published: 22/09/2025&amp;lt;/p&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Document ==&lt;br /&gt;
&amp;lt;pdf&amp;gt;Media:Draft_Sanchez Pinedo_610451629-5423-document.pdf&amp;lt;/pdf&amp;gt;&lt;/div&gt;</summary>
		<author><name>JSanchez</name></author>	</entry>

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