Correction to: Extremal GI/GI/1 queues given two moments: exploiting Tchebycheff systems.

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Title: Correction to: Extremal GI/GI/1 queues given two moments: exploiting Tchebycheff systems.
Authors: Chen, Yan1 (AUTHOR), Whitt, Ward1 (AUTHOR) ww2040@columbia.edu
Source: Queueing Systems. Dec2022, Vol. 102 Issue 3/4, p553-556. 4p.
Subjects: Chebyshev systems, Stochastic orders, Random variables
Abstract: However, in the statement of Lemma 3 insufficient care was given to the support of the random variable I Y i with distribution HT ht appearing in (22) of [[2]]. It is known that HT X0<=3-cxXu ht , as stated in (34) of [[2]]. Let HT X0 ht and HT Xu ht be random variables with the extremal two-point cdf's HT F0 ht and HT Fu ht , respectively. [Extracted from the article]
Copyright of Queueing Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Correction to: Extremal GI/GI/1 queues given two moments: exploiting Tchebycheff systems.
– Name: Author
  Label: Authors
  Group: Au
  Data: &lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Chen%2C+Yan%22&quot;&gt;Chen, Yan&lt;/searchLink&gt;&lt;relatesTo&gt;1&lt;/relatesTo&gt; (AUTHOR)&lt;br /&gt;&lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Whitt%2C+Ward%22&quot;&gt;Whitt, Ward&lt;/searchLink&gt;&lt;relatesTo&gt;1&lt;/relatesTo&gt; (AUTHOR)&lt;i&gt; ww2040@columbia.edu&lt;/i&gt;
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  Data: &lt;searchLink fieldCode=&quot;JN&quot; term=&quot;%22Queueing+Systems%22&quot;&gt;Queueing Systems&lt;/searchLink&gt;. Dec2022, Vol. 102 Issue 3/4, p553-556. 4p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: &lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Chebyshev+systems%22&quot;&gt;Chebyshev systems&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Stochastic+orders%22&quot;&gt;Stochastic orders&lt;/searchLink&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;DE&quot; term=&quot;%22Random+variables%22&quot;&gt;Random variables&lt;/searchLink&gt;
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: However, in the statement of Lemma 3 insufficient care was given to the support of the random variable I Y i with distribution HT &lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mi mathvariant=&quot;normal&quot;&gt; &lt;/mi&gt;&lt;/math&gt; ht appearing in (22) of [[2]]. It is known that HT &lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mi&gt;X&lt;/mi&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/msub&gt;&lt;msub&gt;&lt;mo&gt;&lt;=&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;mo&gt;-&lt;/mo&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;msub&gt;&lt;mi&gt;X&lt;/mi&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt; ht , as stated in (34) of [[2]]. Let HT &lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;msub&gt;&lt;mi&gt;X&lt;/mi&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/msub&gt;&lt;/math&gt; ht and HT &lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;msub&gt;&lt;mi&gt;X&lt;/mi&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;/msub&gt;&lt;/math&gt; ht be random variables with the extremal two-point cdf&#39;s HT &lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;msub&gt;&lt;mi&gt;F&lt;/mi&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/msub&gt;&lt;/math&gt; ht and HT &lt;math xmlns=&quot;http://www.w3.org/1998/Math/MathML&quot;&gt;&lt;msub&gt;&lt;mi&gt;F&lt;/mi&gt;&lt;mi&gt;u&lt;/mi&gt;&lt;/msub&gt;&lt;/math&gt; ht , respectively. [Extracted from the article]
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  Data: &lt;i&gt;Copyright of Queueing Systems is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder&#39;s express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.&lt;/i&gt; (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1007/s11134-022-09797-0
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 4
        StartPage: 553
    Subjects:
      – SubjectFull: Chebyshev systems
        Type: general
      – SubjectFull: Stochastic orders
        Type: general
      – SubjectFull: Random variables
        Type: general
    Titles:
      – TitleFull: Correction to: Extremal GI/GI/1 queues given two moments: exploiting Tchebycheff systems.
        Type: main
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          Name:
            NameFull: Chen, Yan
      – PersonEntity:
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            NameFull: Whitt, Ward
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          Dates:
            – D: 01
              M: 12
              Text: Dec2022
              Type: published
              Y: 2022
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              Value: 02570130
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              Value: 102
            – Type: issue
              Value: 3/4
          Titles:
            – TitleFull: Queueing Systems
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