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 …
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
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 …
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 …
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
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 $\frac {1} {n}$)
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 …
Convergence of random variables in probability but not almost surely.
Can somebody provide me with a sequence of (real-valued) functions, say on [0, 1] [0, 1] with the Lebesgue measure, such that the sequence converges in probability, or maybe in ∥ ⋅∥L2 ‖ ‖ L 2, but …
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, …
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_...