# 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 ...
1answer
805 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. ...
2answers
76 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 ...
3answers
138 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 ...
1answer
710 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 ...
2answers
1k views

### Smarter example of biased but consistent estimator?

I am trying to get an intuitive understanding of why there exists biased but consistent estimator. Suppose $X_i \sim \mathcal{N}(\mu, 1)$. One example I came across is this: W_n(X_1,\cdots,X_n) = ...
1answer
250 views

### Regression example for one-dimensional input

For some educational purposes, I need a realistic regression example where the input space is one-dimensional, i.e. $x\in\mathbb{R}$. I do not want to use any dummy approaches such as simulation from ...
1answer
617 views

### Numerical Example of Independent Component Analysis

Can somebody explain ICA(Independently Component Analysis) with a small practical example over here. I have seen lot of programs and libraries written and you can just apply that to your data to find ...
0answers
20 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 ...
0answers
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 ...
1answer
119 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{...
0answers
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 ...
1answer
405 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 ...
0answers
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 ...
2answers
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" ...
1answer
24 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 ...
1answer
65 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?
1answer
50 views

### where can I find advanced stats questions and answers like the example below?

I am at the beginning of an advanced stats course and I am looking to practice some questions beyond the few which are given in class. below are a few examples from our first assignment. I am looking ...
0answers
2k views

### Real world practical Outliers/Anomalies

I want to have some real life and practical examples for anomalies that can be expressed like a scenario. For example in a country following left-hand driving, a vehicle moving in a wrong direction ...