Gauss–Markov theorem: Revision history

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curprev 18:0918:09, 24 March 2025 Kinu talk contribs 28,277 bytes 0 Sentence case section headings per MOS:SECTIONS. undo

curprev 20:2720:27, 24 November 2024 2600:1700:2cb0:2c30:c095:941a:26a1:27fc talk 28,277 bytes 0 →Statement undo

curprev 00:3400:34, 30 September 2024 JBW talk contribs m 28,277 bytes −29 Reverted edits by 155.69.193.63 (talk) to last version by 31.111.35.114 undo Tag: Rollback

curprev 06:5606:56, 28 September 2024 155.69.193.63 talk 28,306 bytes +11 No edit summary undo Tag: Reverted
curprev 06:5306:53, 28 September 2024 155.69.193.63 talk 28,295 bytes +18 No edit summary undo Tag: Reverted

curprev 22:2522:25, 15 August 2024 31.111.35.114 talk 28,277 bytes +232 Actually I'm just going to restore the abstract back to how it was on January 15th 2024 before someone added all the anti-OLS stuff. Most of these criticisms belong in a specific section of the article, not in the abstract. undo
curprev 22:2122:21, 15 August 2024 31.111.35.114 talk 28,045 bytes −835 This abstract is super weird and seems to be written by someone who hates frequentist regression. I dont understand why. Most statistics textbooks do motivate using Gauss-Markov so some of this is just rwrong. And "assignmed likelhiood" and KL arent "more principled" than least squares, this is nonsense. Also Stein's phenomenon is mostly a curiosity and doesnt have too much effect on practice. And the abstract shouldnt be 90% critical. Ive rewritten for balance undo

curprev 09:5609:56, 23 June 2024 2405:201:5803:311b:d8cf:d523:f19d:3464 talk 28,817 bytes 0 k was confused with n undo Tag: Visual edit

curprev 02:4602:46, 26 May 2024 BappleBusiness talk contribs 28,817 bytes +15 for the color undo Tag: Visual edit

curprev 02:3502:35, 13 March 2024 Partiallyidentified talk contribs m 28,802 bytes +17 →Spherical errors: original said "in presence of spherical errors"; 99% sure it's supposed to be non-spherical. The idea is that OLS is BLUE with spherical, but without spherical GLS is BLUE. Of course, when errors spherical, GLS and OLS coincide. See Hayashi 2000 or Hansen 2022 undo

curprev 06:3806:38, 19 February 2024 User and Dawn talk contribs 28,785 bytes +861 →Statement expansion to the scalar case parameters undo Tag: Visual edit

curprev 03:5703:57, 28 January 2024 WikiCleanerBot talk contribs m 27,924 bytes 0 v2.05b - Bot T20 CW#61 - Fix errors for CW project (Reference before punctuation) undo Tag: WPCleaner

curprev 04:3004:30, 18 January 2024 Closed Limelike Curves talk contribs 27,924 bytes +603 No edit summary undo Tag: Visual edit

curprev 01:4601:46, 6 November 2023 Seanrson talk contribs m 27,321 bytes −5 The hyperlink is for linear regression, but the Gauss-Markov theorem is about the class of linear estimators more generally, as reflected in the other portions of the text. The sense of "linear" here is that of a linear combination. undo Tag: Visual edit

curprev 19:5719:57, 18 October 2023 Biggerj1 talk contribs 27,326 bytes +35 →Statement undo

curprev 11:1711:17, 7 October 2023 148.88.245.244 talk 27,291 bytes +10 missing <math> tag undo

curprev 04:4104:41, 4 October 2023 Magenta.lily talk contribs m 27,281 bytes +1,311 Changed transpose notation to match that of the transpose article undo Tag: Visual edit: Switched

curprev 04:1704:17, 17 August 2023 2600:4041:42ad:c500:e188:3bfd:69ab:72fc talk 25,970 bytes +14 wrong definition of mean square wrong before. undo

curprev 17:4517:45, 12 June 2023 178.147.83.41 talk 25,956 bytes +4 →Remark undo

curprev 11:4811:48, 23 April 2023 2600:4040:5412:5000:db78:7c68:7442:9316 talk 25,952 bytes −47 →Statement: Remove underline for vector, nonstandard across Wikipedia. undo

curprev 06:4906:49, 25 February 2023 Fgnievinski talk contribs 25,999 bytes +2 →Remarks on the proof undo Tag: 2017 wikitext editor
curprev 06:4806:48, 25 February 2023 Fgnievinski talk contribs 25,997 bytes +37 →Spherical errors undo Tag: 2017 wikitext editor

curprev 15:4315:43, 15 February 2023 Rodolfoaoviedoh talk contribs 25,960 bytes −12 →Statement: In the paragraph beginning with "A linear estimator of", I deleted a set of parentheses from the formula that follows the phase "Then the mean squared error of the corresponding estimation is". This way, the square applies to the content in the remaining parenthesis. undo

curprev 12:5312:53, 25 November 2022 130.238.174.19 talk 25,972 bytes −39 Deleted "stochastic, for instance when they are" as the explanatory variables can be stochastic and not suffer from failing the exogeneity condition. undo

curprev 09:0309:03, 18 August 2022 2601:545:c702:ac60:d4fe:5df3:d77:c79a talk 26,011 bytes +181 →Remark undo

curprev 22:5622:56, 26 February 2022 1a2a4a8a16a32 talk contribs 25,830 bytes +1 →Statement: Hessian being positive definite means function is convex, therefore the local minimum is a global minimum undo

curprev 16:0816:08, 4 February 2022 Qwerfjkl (bot) talk contribs m 25,829 bytes +1 Capitalising short description "theorem related to ordinary least squares" per WP:SDFORMAT (via Bandersnatch) undo

curprev 23:5623:56, 28 December 2021 Vonkje talk contribs m 25,828 bytes +4 link to homoscedastic undo

curprev 03:0303:03, 6 July 2021 Cnilep talk contribs 25,824 bytes +18 Disambiguated: simultaneity → wikt:simultaneity undo

curprev 08:3608:36, 24 June 2021 Hellacioussatyr talk contribs m 25,806 bytes +9 →Strict exogeneity undo Tag: Visual edit
curprev 05:4005:40, 24 June 2021 Hellacioussatyr talk contribs m 25,797 bytes −67 boldface undo Tag: Visual edit
curprev 05:2705:27, 24 June 2021 Hellacioussatyr talk contribs 25,864 bytes 0 →Strict exogeneity: fix boldface undo Tag: 2017 wikitext editor
curprev 05:2505:25, 24 June 2021 Hellacioussatyr talk contribs m 25,864 bytes +136 →Remark: indent undo Tag: 2017 wikitext editor

curprev 13:3213:32, 13 May 2021 2a02:810c:c240:960:21b7:78d6:94b8:e5c9 talk 25,728 bytes +3 →Proof undo

curprev 15:5415:54, 9 May 2021 Bender235 talk contribs 25,725 bytes +63 No edit summary undo Tags: Mobile edit Mobile app edit Android app edit

curprev 20:2620:26, 26 March 2021 Lexy-lou talk contribs m 25,662 bytes −4 →Remark: The phrase "Hessian matrix" does not need to be italicized. undo

curprev 14:1914:19, 7 March 2021 24.148.88.178 talk 25,666 bytes +3 →Linearity: copyedit undo

curprev 20:5620:56, 8 January 2021 Fateswarningrocks talk contribs 25,663 bytes +1 →Statement: Typo undo Tag: Visual edit

curprev 16:0516:05, 1 January 2021 Wmagudelo talk contribs m 25,662 bytes +2 →Remark undo
curprev 16:0316:03, 1 January 2021 Wmagudelo talk contribs 25,660 bytes +4 →Remark undo

curprev 06:4606:46, 10 December 2020 184.147.84.61 talk 25,656 bytes +34 the original is "the condition of {\displaystyle \operatorname {Var} \left({\tilde {\beta ))\right)-\operatorname {Var} \left({\widehat {\beta ))\right)}" which does not actually state a condition, user added "is a positive semidefinite matrix" to complete the condition. undo

curprev 17:4917:49, 2 December 2020 Monkbot talk contribs m 25,622 bytes −62 Task 18 (cosmetic): eval 17 templates: del empty params (7×); hyphenate params (9×); undo Tag: AWB

curprev 12:0912:09, 14 November 2020 143.107.183.209 talk 25,684 bytes +225 The process is sometimes known simply as Gauss theorem, due to the controversy with Markov. I'm adding a reference for that. undo

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