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# Questions tagged [example]

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### Model with admissible estimator(s) that are not the Bayes estimator for any choice of prior?

Every Bayes estimator is admissible, to the best of my knowledge. (Related questions - 1,2.) I recall my professor mentioning once during a lecture that, at least as rough intuition, the converse is ...
829 views

### Example of a stochastic process that is 1st and 2nd order stationary, but not strictly stationary (Round 2)

This question follows from my previous question, where Robin answered the question in the case of weak stationary processes. Here, I am asking a similar question for (strong?) stationary processes. ...
78 views

### Teaching (very elementary) statistical modelling

I've been asked to contribute some lectures (or parts of lectures) to a course on "Mathematical Modelling", from a statistical perspective. This is to a rather mixed group of Mathematics ...
139 views

### Under torture, the data may yield false confessions. Examples?

My statistics teacher repeated the statement "Under torture, the data may yield false confessions" several times, but without giving a concrete example of what it means. Can you give some good ...
739 views

### Negative autocorrelation in linear regressions : examples and consequences

I am wondering if there are classical (or not so classical) examples of negative autocorrelation in a regression model. To expalin the context : I am explaining OLS limitations, heterosckedasticity ...
1k views

22 views

### What scenario corresponds to choosing the “true distribution” $p$ in $\textsf{KL}(p\parallel q)$?

I understand that when you think about changing $q$ in the Kullback-Leibler divergence $\textsf{KL}(p\parallel q)$, this corresponds to trying to find the distribution that minimizes information loss ...
25 views

### How to use parameters to calculate a value which will be used for a statistical analysis?

I am confused on a basic statistics concept. Also, my terminology may be a bit off as well; I am a novice. I will be as simple and concise as possible. Hopefully, this scenario gets to the core of my ...
126 views

### Power function of a test,example

Consider a population with the pdf $N(\theta,1)$ where $\theta$ is unknown and hypothesis $H_0:\theta=5.5$ and $H_1:\theta=8$.Suppose that $\bar{X}=\frac{1}{9}\sum_{i=1}^9 X_i.$Reject $H_0$ iff \$\bar{...
34 views

### What is the probability of Jack finding Sam at the last bar?

Jack and Sam are friends. It is Saturday and Sam forgot his phone home. Jack knows that there is a 2/3 probability that Sam goes to a party. There are 10 clubs in town and all have an equal ...
414 views

### Difference between instance-based and example-based Learning

I've read both the terms instance-based and example-based learning in some contexts, e. g. instance-based learning for label ranking and example-based for general text classification tasks. Is there ...
67 views

### What are the first historical examples of meta-analysis?

I am researching the history of meta-analysis, and have found several interesting scholarly sources, going O'Rourke to Hedges, just to name two recent ones. On top of these authoritative sources, I ...
21 views

### Instructive example for using machine learning to predict continuous variable?

Arguably, the MNIST or titanic examples are probably the most common and instructive examples of classification problems solved using machine learning. Are there any 'iconic' examples of machine ...
54 views

### What are 3 easy, real-world examples for high, medium and low correlation?

I understand what correlation means on paper (as in: given high, positive correlation, then, if A is high, B is likely to be high, too). However, the classification into "high", "medium" and "low" ...
26 views

### Real-life examples confirming that the “ assignment of probabilities to events is the primary task of the probabilist”

I'm reading a graduate book on measure theoretic probability theory by Cinlar. In the introduction he says The actual assignment of probabilities to events is the primary task of the ...
76 views

### Example of a Markov Process with observable states?

I have a pretty good handle on Hidden Markov Models, but I can't think of any examples of a Markov process with a directly observable state. Any examples?