The Stack Overflow podcast is back! Listen to an interview with our new CEO.

Questions tagged [example]

The tag has no usage guidance.

Filter by
Sorted by
Tagged with
7
votes
1answer
317 views

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 ...
6
votes
1answer
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. ...
4
votes
2answers
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 ...
3
votes
3answers
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 ...
3
votes
1answer
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 ...
2
votes
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) = ...
2
votes
1answer
285 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 ...
2
votes
1answer
659 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 ...
1
vote
1answer
40 views

Example of random process with negative variation

I study about random processes. Let us have $\{X_1, X_2, \dots X_n\}$ observations. I learned, that in stationary time series the sample autocovariance function is defined as $$ \widehat{γ}(h)= \...
1
vote
0answers
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 ...
1
vote
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 ...
1
vote
1answer
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{...
1
vote
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 ...
1
vote
1answer
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 ...
1
vote
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 ...
0
votes
2answers
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 ...
0
votes
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" ...
0
votes
1answer
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 ...
0
votes
1answer
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?
0
votes
1answer
52 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 ...
0
votes
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 ...