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### What is the difference between model prediction and model estimation? [duplicate]

Could you please explain for me what's the difference between model prediction and model estimation ? What is the difference between a prediction interval and an estimation interval?
35 views

### Why is a prediction interval wider than a confidence interval for values of the predictor? [duplicate]

I have this graph that depicts PI being larger than CI for values of 14.5 and 24 for the independent/predictor variable. CI take into account regression coefficients, which are estimates. The PI has ...
122k views

### Difference between confidence intervals and prediction intervals

For a prediction interval in linear regression you still use $\hat{E}[Y|x] = \hat{\beta_0}+\hat{\beta}_{1}x$ to generate the interval. You also use this to generate a confidence interval of $E[Y|x_0]$....
6k views

### Linear regression prediction interval

If the best linear approximation (using least squares) of my data points is the line $y=mx+b$, how can I calculate the approximation error? If I compute standard deviation of differences between ...
2k views

### Why do you have to provide a variogram model when you are kriging?

I am very new to spatial statistics and watching lots of tutorials, But I don't really get why you have to provide a variogram model when you krige. I am using the gstat package in R, and this is ...
966 views

### Can we make probabilistic statements with prediction intervals?

I've read through the many excellent discussions on the site regarding interpretation of confidence intervals and prediction intervals, but one concept is still a bit puzzling: Consider the OLS ...
1k views

### Confidence interval vs. prediction interval misunderstanding

Problem I have a time series data set with about 50 observations. I'd like to compute an interval that may contain the next/future value in the time series (the 51st data point). I tried using a 90% ...
366 views

### What is the objective of maximum likelihood estimation?

I was reading in "Using Maximum Likelihood Estimation" from "Econometrics for Dummies", and here's what the author had to say: "The objective of maximum likelihood (ML) estimation is to choose values ...
315 views

### Prediction interval for the predicted probability obtained using a logistic regression for new subject

I am trying to calculate the prediction interval for the predicted probability for a new subject using a logistic regression, and I wonder if we can use the same formulas that is used for linear ...
253 views

### Interpreting prediction intervals, and prediction intervals for a specific parameter?

Can someone correct my thinking if I'm off course here? Confidence intervals provide an estimate of precision$^1$ for a specific parameter, but they can also be used for a regression equation (i.e., ...
92 views

### Can someone explain to me the frequentist definition of inference by Efron and Hastie using a real example?

Problem Can someone help explain the concept of inference as explained by Bradeley Efron and Trevor Hastie in their book Computer Age Statistical Inference?In Chapter 2, beginning on page 13 they ...
144 views

### Comparing sample variances of the same population

If s1 is the variance of a small sample, and s2 is the variance of a larger sample from the same population. Is s1 an unbiased estimator for s2? I am thinking since a sample variance is an unbiased ...
Suppose I have some reasonably sized dataset and I do linear regression on it, so now I have a model, say $\hat{y}=Ax+b$, where $y$ is real (or perhaps a vector, but let's say real for now), $x$ (my ...