# Questions tagged [consistency]

Refers generally to a property of a statistical procedure to go to the "right" place as the sample size tends to infinity, primarily referring to estimators converging to the true parameter value as the sample sizes diverges. Use also for Fisher consistency, the property that an estimator when applied to the complete population gives the right answer.

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### Evaluating rating consistency between an algorithm and a group of experts

Let's have a look on this example: $N$ experts rate the taste of $M$ cakes by a score from 0 (awful) to 10 (best cake in the world). Since experts are rare and quite expensive, a prototype machine was ...
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### NLS more consistent than GMM

I'm trying a simple code to test whether NLS has better performance than GMM. The R code looks like this ...
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### Question about consistent estimators and asymptotic distributions

Lets say you have an estimator that is consistent, and you do not have any information on the asymptotic distribution, what can you do with such an estimator? Also when using aysmptotic distribtuions, ...
113 views

### General recipe for finding unbiased or consistent estimator? [closed]

I am wondering whether there is a general recipe for finding unbiased and consistent estimators of some non-random quantity. For concreteness, I will discuss only discrete probability distributions ...
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### consistency of weight matrix

Take the model $Y = X'\beta + e$ with $\mathbb{E} [Ze] = 0$. Let $\tilde{e}_i = Y_i - X'_i \tilde{\beta}$ where $\tilde{\beta}$ is consistent for $\beta$ (e.g. a GMM estimator with some weight matrix)....
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### Measurement error in dependent variable leading to inconsistent estimates

Suppose the true model is: Y_i = \alpha + \beta X_i + \epsilon_i Suppose there is a measurement error v in the dependent variable. If v and \epsilon_i are not correlated, is that enough to say our ...
910 views

### Is it true that an estimator will always asymptotically be consistent if it is biased in finite samples?

Is it true that an estimator will always asymptotically be consistent if it is biased in finite samples? I feel like it is true but not sure exactly how to prove that...
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### OLS estimator is consistent if the smallest eigenvalue of $X^TX$ goes to infinity as $n\to\infty$

I want to show that if $\lambda_{min}(X^T X)$ (i.e., the smallest eigenvalue of $X^TX$) goes to infinity as $n\to\infty$, then $\hat{\beta}$ is a consistent estimator of $\beta$. My approach is the ...
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### For regression: Are clustered standard errors(say specified correctly) only consistent, or both unbiased and consistent estimators?

Basically are clustering standard errors only an asymptotic argument or does it possess finite sample properties as well?
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### Proving the consistency of this OLS estimator for $\hat\beta_1$?

So in this particular linear regression model we are given that $\beta_0=0$. The goal is to find the estimator, $\hat\beta_1$, and show that it is consistent. I managed to find $\hat\beta_1$ as ...
Suppose that there is a deterministic relation $y_t=ax_t$ where $x_t,y_t$ are real sequences or real functions and $a$ a constant. But only $X_t=x_t+e_t$ and $Y_t+u_t$ can be observed, with $e_t, u_t$ ...