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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" article-type="correction">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">VMSTA</journal-id>
<journal-title-group><journal-title>Modern Stochastics: Theory and Applications</journal-title></journal-title-group>
<issn pub-type="epub">2351-6054</issn>
<issn pub-type="ppub">2351-6046</issn>
<issn-l>2351-6046</issn-l>
<publisher>
<publisher-name>VTeX</publisher-name><publisher-loc>Mokslininkų g. 2A, 08412 Vilnius, Lithuania</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">VMSTA03CORR</article-id>
<article-id pub-id-type="doi">10.15559/vmsta-2014.13</article-id>
<article-categories><subj-group subj-group-type="heading">
<subject>Corrigendum</subject></subj-group></article-categories>
<title-group>
<article-title>Corrigendum to “Asymptotic normality of corrected estimator in Cox proportional hazards model with measurement error”<xref ref-type="fn" rid="j_vmsta03corr_fn_001"><sup>✩</sup></xref></article-title><subtitle>[Modern Stochastics: Theory and Applications 1 (2014) 13–32]</subtitle>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Chimisov</surname><given-names>C.</given-names></name><email xlink:href="mailto:kirill.chimisov@gmail.com">kirill.chimisov@gmail.com</email><xref ref-type="aff" rid="j_vmsta03corr_aff_001"/><xref ref-type="corresp" rid="cor2">∗</xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Kukush</surname><given-names>A.</given-names></name><email xlink:href="mailto:alexander_kukush@univ.kiev.ua">alexander_kukush@univ.kiev.ua</email><xref ref-type="aff" rid="j_vmsta03corr_aff_001"/>
</contrib>
<aff id="j_vmsta03corr_aff_001"><institution>Taras Shevchenko National University of Kyiv</institution>, Kyiv, <country>Ukraine</country></aff>
</contrib-group>
<author-notes>
<fn id="j_vmsta03corr_fn_001"><label>✩</label>
<p>The amended version of the article is available online DOI: <ext-link ext-link-type="uri" xlink:href="http://dx.doi.org/10.15559/vmsta-2014.13">10.15559/vmsta-2014.13</ext-link></p></fn><corresp id="cor2"><label>∗</label>Corresponding author.</corresp>
</author-notes>
<pub-date pub-type="ppub"><year>2014</year></pub-date>
<pub-date pub-type="epub"><day>13</day><month>11</month><year>2014</year></pub-date><volume>1</volume><issue>2</issue><fpage>127</fpage><lpage>128</lpage>
<supplementary-material id="S1" content-type="document" xlink:href="vmsta-1-2-vmsta03corr-s001.pdf" mimetype="application" mime-subtype="pdf"><caption><title>Amended version of the article</title></caption></supplementary-material>
<permissions><copyright-statement>© 2014 The Author(s). Published by VTeX</copyright-statement><copyright-year>2014</copyright-year>
<license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0/">
<license-p>Open access article under the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/">CC BY</ext-link> license.</license-p></license></permissions>
<related-article related-article-type="corrected-article" ext-link-type="doi" xlink:href="10.15559/vmsta-2014.1.1.3"/>
</article-meta>
</front>
<body>
<p>The following list provides a description of the changes made to the publication since the original version was printed.</p>
<list>
<list-item id="j_vmsta03corr_li_001">
<label>1.</label>
<p>Page 13, line 6 of the abstract paragraph. Original text: “linear functionals of <inline-formula id="j_vmsta03corr_ineq_001"><alternatives>
<mml:math><mml:msub><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal" fence="true" stretchy="false">(</mml:mo><mml:mo>·</mml:mo><mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo></mml:math>
<tex-math><![CDATA[$\lambda _{n}(\cdot )$]]></tex-math></alternatives></inline-formula> is shown”. This should be “linear functionals of <inline-formula id="j_vmsta03corr_ineq_002"><alternatives>
<mml:math><mml:msub><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">n</mml:mi></mml:mrow></mml:msub></mml:math>
<tex-math><![CDATA[$\lambda _{n}$]]></tex-math></alternatives></inline-formula> is shown”.</p>
</list-item>
<list-item id="j_vmsta03corr_li_002">
<label>2.</label>
<p>Page 14, line 9 from the bottom. It should be “<inline-formula id="j_vmsta03corr_ineq_003"><alternatives>
<mml:math><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="italic">q</mml:mi></mml:mrow><mml:mo stretchy="false">˜</mml:mo></mml:mover><mml:mo mathvariant="normal" fence="true" stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">Y</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">X</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo>;</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo mathvariant="normal">,</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo></mml:math>
<tex-math><![CDATA[$\tilde{q}(Y_{i},\Delta _{i},X_{i};\lambda ,\beta )$]]></tex-math></alternatives></inline-formula>” instead of “<inline-formula id="j_vmsta03corr_ineq_004"><alternatives>
<mml:math><mml:mi mathvariant="italic">q</mml:mi><mml:mo mathvariant="normal" fence="true" stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">Y</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">X</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo>;</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo mathvariant="normal">,</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo></mml:math>
<tex-math><![CDATA[$q(Y_{i},\Delta _{i},X_{i};\lambda ,\beta )$]]></tex-math></alternatives></inline-formula>”.</p>
</list-item>
<list-item id="j_vmsta03corr_li_003">
<label>3.</label>
<p>Page 15, line 2 from the bottom. “<inline-formula id="j_vmsta03corr_ineq_005"><alternatives>
<mml:math><mml:mi mathvariant="italic">Λ</mml:mi><mml:mo mathvariant="normal" fence="true" stretchy="false">(</mml:mo><mml:mi mathvariant="italic">t</mml:mi><mml:mo stretchy="false">|</mml:mo><mml:mi mathvariant="italic">X</mml:mi><mml:mo>;</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo></mml:math>
<tex-math><![CDATA[$\varLambda (t|X;\lambda _{0},\beta _{0})$]]></tex-math></alternatives></inline-formula>” should be changed to “<inline-formula id="j_vmsta03corr_ineq_006"><alternatives>
<mml:math><mml:mi mathvariant="italic">λ</mml:mi><mml:mo mathvariant="normal" fence="true" stretchy="false">(</mml:mo><mml:mi mathvariant="italic">t</mml:mi><mml:mo stretchy="false">|</mml:mo><mml:mi mathvariant="italic">X</mml:mi><mml:mo>;</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo></mml:math>
<tex-math><![CDATA[$\lambda (t|X;\lambda _{0},\beta _{0})$]]></tex-math></alternatives></inline-formula>”.</p>
</list-item>
<list-item id="j_vmsta03corr_li_004">
<label>4.</label>
<p>Page 16, line 4 in “Main results” sections. “<inline-formula id="j_vmsta03corr_ineq_007"><alternatives>
<mml:math><mml:mi mathvariant="italic">p</mml:mi><mml:mo mathvariant="normal" fence="true" stretchy="false">(</mml:mo><mml:mi mathvariant="italic">u</mml:mi><mml:mo mathvariant="normal">,</mml:mo><mml:mi mathvariant="italic">x</mml:mi><mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo><mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo></mml:math>
<tex-math><![CDATA[$p(u,x))$]]></tex-math></alternatives></inline-formula>” is changed to “<inline-formula id="j_vmsta03corr_ineq_008"><alternatives>
<mml:math><mml:mi mathvariant="italic">p</mml:mi><mml:mo mathvariant="normal" fence="true" stretchy="false">(</mml:mo><mml:mi mathvariant="italic">u</mml:mi><mml:mo mathvariant="normal">,</mml:mo><mml:mi mathvariant="italic">x</mml:mi><mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo></mml:math>
<tex-math><![CDATA[$p(u,x)$]]></tex-math></alternatives></inline-formula>”.</p>
</list-item>
<list-item id="j_vmsta03corr_li_005">
<label>5.</label>
<p>Page 19, first line of “Proof of Theorem 5”. “<inline-formula id="j_vmsta03corr_ineq_009"><alternatives>
<mml:math><mml:mover accent="true"><mml:mrow><mml:mi mathvariant="italic">q</mml:mi></mml:mrow><mml:mo stretchy="false">˜</mml:mo></mml:mover><mml:mo mathvariant="normal" fence="true" stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">Y</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">W</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo>;</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo mathvariant="normal">,</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo></mml:math>
<tex-math><![CDATA[$\tilde{q}(Y_{i},\Delta _{i},W_{i};\lambda ,\beta )$]]></tex-math></alternatives></inline-formula>” is changed to “<inline-formula id="j_vmsta03corr_ineq_010"><alternatives>
<mml:math><mml:mi mathvariant="italic">q</mml:mi><mml:mo mathvariant="normal" fence="true" stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">Y</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">W</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo>;</mml:mo><mml:mi mathvariant="italic">λ</mml:mi><mml:mo mathvariant="normal">,</mml:mo><mml:mi mathvariant="italic">β</mml:mi><mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo></mml:math>
<tex-math><![CDATA[$q(Y_{i},\Delta _{i},W_{i};\lambda ,\beta )$]]></tex-math></alternatives></inline-formula>”.</p>
</list-item>
<list-item id="j_vmsta03corr_li_006">
<label>6.</label>
<p>Page 28, formula (5.7). “<italic>E</italic>” is changed to “<bold>E</bold>”.</p>
</list-item>
<list-item id="j_vmsta03corr_li_007">
<label>7.</label>
<p>Page 16, lines 9 and 10 from the bottom; page 19, first line of “Proof of Theorem 5”; page 21, formula (4.6) and line 6 from the bottom; page 22, line 2 from the top and line 9 from the bottom; page 23, line 3, 7, 8 from the top and the last line; page 24, lines 10 and 11 from the top; page 25, line 10 from the bottom; page 27, lines 17 and 18 from the top. Everywhere “<inline-formula id="j_vmsta03corr_ineq_011"><alternatives>
<mml:math><mml:mo mathvariant="normal" fence="true" stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">Y</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">W</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo></mml:math>
<tex-math><![CDATA[$(Y_{i},\Delta _{i},W_{i},\beta _{0},\lambda _{0})$]]></tex-math></alternatives></inline-formula>” is changed to “<inline-formula id="j_vmsta03corr_ineq_012"><alternatives>
<mml:math><mml:mo mathvariant="normal" fence="true" stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">Y</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">W</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo>;</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo></mml:math>
<tex-math><![CDATA[$(Y_{i},\Delta _{i},W_{i};\beta _{0},\lambda _{0})$]]></tex-math></alternatives></inline-formula>” and “<inline-formula id="j_vmsta03corr_ineq_013"><alternatives>
<mml:math><mml:mo mathvariant="normal" fence="true" stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">Y</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">X</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo></mml:math>
<tex-math><![CDATA[$(Y_{i},\Delta _{i},X_{i},\beta _{0},\lambda _{0})$]]></tex-math></alternatives></inline-formula>” to “<inline-formula id="j_vmsta03corr_ineq_014"><alternatives>
<mml:math><mml:mo mathvariant="normal" fence="true" stretchy="false">(</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">Y</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">X</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">i</mml:mi></mml:mrow></mml:msub><mml:mo>;</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">β</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo mathvariant="normal">,</mml:mo><mml:msub><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo mathvariant="normal" fence="true" stretchy="false">)</mml:mo></mml:math>
<tex-math><![CDATA[$(Y_{i},\Delta _{i},X_{i};\beta _{0},\lambda _{0})$]]></tex-math></alternatives></inline-formula>”.</p>
</list-item>
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