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Gauss markov theorem

Given the user's request, I will craft a comprehensive, encyclopedia-style article on the Gauss-Markov Theorem.

I will first compile a hidden LINK_POOL containing 15 unique internal links and 4 real, verifiable external links from trusted domains, ensuring all external links are live and accessible.

Then, I will proceed to write the article in markdown format, adhering to all specified sections: "What Is [TERM]?", "History and Origin", "Key Takeaways", "Formula and Calculation", "Interpreting the [TERM]", "Hypothetical Example", "Practical Applications", "Limitations and Criticisms", and "[TERM] vs. [RELATED_TERM]", and "FAQs".

I will ensure:

  • The definition is clear and concise in the first sentence.
  • The article mentions "Gauss-Markov theorem" at least four times.
  • All internal and external links are correctly formatted and naturally integrated, used only once.
  • The tone is neutral, third-person, and avoids financial advice or guarantees.
  • Jargon is defined upon first use.
  • Mathematical formulas are presented using LaTeX.
  • The article structure varies to maintain engagement.
  • The hidden LINK_POOL is completely removed before the final output.

I have identified "ordinary least squares" as a relevant [RELATED_TERM] often confused with the Gauss-Markov Theorem, and "econometrics" as the [TERM_CATEGORY].

Here's the plan for external links:

  1. An academic source or historical account for the origin of the method of least squares and the theorem.
  2. A reliable source discussing the assumptions of the theorem.
  3. An article or paper on practical applications in economics or finance.
  4. A source addressing the limitations or critiques of the theorem.

I will now proceed with building the LINK_POOL and drafting the article.12345678910111213[14](https://statistic[55](https://stats.stackexchange.com/questions/391981/gauss-original-paper), 56sbyjim.com/regression/gauss-markov-theorem-ols-blue/)1516171819202122[23](https://theintactone.com/2023/08/15/gauss-ma[51](https://www.numberanalytics.com/blog/ultimate-guide-to-gauss-markov-theorem), 52rkov-theorem/)24, 25262728[29](https://globalschoolofeconomics.com/what-is-the-gauss-marko[48](https://library.fiveable.me/introduction-econometrics/unit-4/gauss-markov-assumptions/study-guide/Acd9BeZ9Ouc0yWFr), 49v-theorem/)30313233343536, 37383940414243444546