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  1. Can someone explain what plim is? - Mathematics Stack Exchange

    Oct 30, 2012 · In my Introductory Econometrics class we discussed a concept of "plim" or "probability limit. I'm not sure what this means though and my professor doesn't explain it well at all. Can …

  2. probability theory - Why does plim converge to expected value ...

    May 17, 2021 · Why does plim converge to expected value? Ask Question Asked 4 years, 7 months ago Modified 4 years, 7 months ago

  3. Show that $plim A_n = plim B_n$ implies $plim V(A_n) = plim V(B_n)$

    Apr 28, 2023 · Let An and Bn be two sequences of random variables in RK for K ≥ 1. I would like to show that plimV(An) = plimV(Bn). I have the following information plimAn = plimBn. An − Bn is …

  4. probability theory - plim$ (g (X_n\cdot Y_n)) = g (X\cdot Y)$ where ...

    The comment by zhoraster helped me figure it out. Since we know each Random Variable converges in probability to something, and convergence is probability for a random vector is defined as element …

  5. real analysis - Calculating the limit $\lim ( (n!)^ {1/n ...

    Find $\\lim_{n\\to\\infty} ((n!)^{1/n})$. The question seemed rather simple at first, and then I realized I was not sure how to properly deal with this at all. My attempt: take the logarithm, $$\\lim_...

  6. Asymptotic distribution of OLS estimator in a linear regression

    Mar 29, 2020 · where ui|X =xi ∼ N(0,σ2) u i | X = x i ∼ N (0, σ 2). Let β^ β ^ denote the OLS estimator of β β. I know that

  7. Bias and variance of IV estimation - Mathematics Stack Exchange

    Mar 30, 2019 · where we have used homoskedasticity, plim properties and Central Limit Theorem (explaining the $\frac {1} {n}$)

  8. uniform convergence on compacts in probability is preserved under ...

    Apr 27, 2021 · I now want to know whether the ucp-convergence in probability is preserved under continuous transformations, i.e. if f: Rd → Rk f: R d → R k is continuous, then f(Xn) f (X n) converges …

  9. Why is two the only even number that is prime?

    Nov 3, 2014 · The other prime numbers are all odd numbers such as 5, 11, 127, 5, 11, 127, and 37 37. So, why is 2 2 the only prime even number there is? Is it because it only has 1 and itself that way, …

  10. logic - Can someone explain Gödel's incompleteness theorems in …

    Jul 27, 2013 · The problem with Gödel's incompleteness is that it is so open for exploitations and problems once you don't do it completely right. You can prove and disprove the existence of god …