# Tagged Questions

23 views

### Limiting probability of Markov chain(Terminology)

If I am asked to find the limiting probability of a Markov chain, what does this pertain to? $\lim \limits_{n \to \infty} P^n$? Where $P$ is the stepping matrix and $n$ is the number of steps. "What ...
45 views

### Proper name for the generalized binomial distribution with two trials?

Two Bernoulli trials are performed, first with success probability $p_1$ and second with success probability $p_2 \not=p_1$. The resulting distribution for the number of positive outcomes is ...
34 views

### What's the “ridge” in Ridge Regression?

In normal least squares, we try to find $\hat\beta$ which minimizes $$\|y-X\beta\|^2$$ Ridge regression expands this to "penalize" certain values of $\beta$ via a matrix $\Gamma$: ...
21 views

### Descriptive statistics, percentage of values in interval

I have a list of values representing estimation errors, like { 1, 3, 7, 16, 5, 4, 3, 1 }. Now I determine the percentage of estimations below/equal a specified ...
38 views

### For N-day moving average, how is N parameter called?

I'm looking for a good name for the variable. Average window length? Sounds like a term for a glass cutter.
152 views

### What “whisker” means in box-and-whisker plot?

This is a bit off-topic but I can't help thinking about the reason behind naming box-and-whisker plot. "Whisker" according to dictionary is "any of the long stiff hairs that grow near the mouth of a ...
63 views

### In statistics, dispersion denotes how stretched or squeezed a distribution is, but what is the formal definition?

In statistics, dispersion denotes how stretched or squeezed a distribution is, but what is the formal definition by mathematical properties?
50 views

### Statistical Freedom

What is the English counterpart of the French term "statistique libre"? The following excerpt, translated by me from an excellent 70's French textbook in mathematical statistics ([BAR]), defines the ...
187 views

### Basic terms for the elements of an observation, sample?

I'm trying to write a database schema for measurements in a variety of categories, and am having trouble coming up with names for some basic elements. Let's assume we are gathering heart rate and ...
85 views

### Who established the word “ Degree of freedom ” in statistics?

I wonder who is the first one that established and applied the word : "degree of freedom" in statistics? Why he/she need degree of freedom in the calculation of many statistical values?
40 views

### Scalar generalization of variance for multi-dimensionnal random variables

I am wondering how to define a scalar generalization of variance for multi-dimensionnal random variables. In the case of simple multi-dimensionnal spaces where all dimensions have a similar behaviour, ...
171 views

### Probability distribution functions: factorization 3-way implies 2-way?

I recently asked a question about pairwise versus mutual independence (also related to this and this q). However, (1) I inadvertently used incorrect terminology: three events, A, B, C are ...
298 views

### What is the difference between two variables being proportional versus being directly proportional?

I hear these expressions being thrown around, and realize that "proportional" may also incorporate inverse proportion, but are there any other differences?
18 views

### How tuples or rows do usually called in statistics?

Is there a special term for couple of measured values of single event in statistics? This is called record, tuple or ...
145 views

### What is WHSSETIT?

I am working through a 7 step statistical procedure for hypothesis testing. Step 7 has a field marked WHSSETIT?. What does this acronym stand for and what is the ...
282 views

### Generously Feasible?

In my machine learning class I have been provided a weight vector that has the property that it is generously feasible ? Formally, what does generously feasible mean? I can't seem to find a ...
77 views

### Looking for the Name of this property: $\mathsf{P}\left(X \leqslant x\right) = \mathsf{P}\left(h(X) \leqslant h(x)\right)$

$h(\cdot)$ denotes a strict monotonic increasing transformation such as $\log$. Another inequality I do not quite get is that \mathsf{P}\left(h(X) \le h(x)\right) \ge \mathsf{P}\left(X \le ...
177 views

### Is there name for arithmetic mean divided by RMS average?

Is there a mathematical term for the ratio of arithmetic mean to the root mean square average? (FWIW, in the context where I'm concerned about this the component values will always be >= 0.)
587 views

### What is the difference between FWHH and FWHM?

The title says it all really. I wanted to know if there is a situation where full width half height half maximum is more appropriate than full width half height or vice versa. Thank you
149 views

### Probability distribution explanation

What exactly is a probability distribution, and what are the two requirements for a probability distribution? I am not sure what this means or how to apply it? Any examples that can be given would ...
2k views

### Quantile and percentile terminology

Note: This is answered by user974514 below, but there was some discussion outside of the "answer", so I paraphrased the final answers inline here. I've asked around for the exact usages of the terms ...
184 views

### Name of probability distribution

Does this distribution have a name: $f(x) = yx^{y-1}$ for $0 < x<1$ and $y>0$? It looks like an exponential distribution. Or is it a nameless distribution?
966 views

### Generalization of variance to random vectors

Let $X$ be a random variable. Then its variance (dispersion) is defined as $D(X)=E((X-E(X))^2)$. As I understand it, this is supposed to be a measure of how far off from the average we should expect ...
33 views

### Range mapping process name

Does the process of mapping a random range, for example, [4; 55] to [0; 1] have a name? Maybe it's called normalization?
22 views

### Final Error of two module in serial and parallel

Suppose we have two modules in serial call them $M_1,M_2$ , a signal passing from $M_1$ to $M_2$ has probability of error $\epsilon_1$ , and at $M_2$ has $\epsilon_2$ probability of error. In serial ...
237 views

### What is the difference between probability and statistics?

Is it that probability is top-down (going from pure distributions to predictions about events) and statistics is bottom-up (going from specific events to predicting pure distributions?) I'm pretty ...
334 views

### doubt on iid distribution vs uniform distribution

I am a bit confused when I read "iid distribution". It looks to me like what is called "uniform distribution" i.e. a distribution of probability that is constant in a range. Am I correct in thinking ...
263 views

### medians and medoids are to 2, as X and Y are to 3

What is the word for the values derived from an ordered set such that the values divide (by virtue of their positions; not by their value) the set into 3 subsets that have an equal or nearly equal ...
118 views

### Is there a mathematical name given to the count of negative and positive numbers in a set

If I have a set of numbers {-1, 2, 3, 4, -8, 2, 0, 44} and I make the statement that there are: 2 negative numbers 5 positive numbers and one signless number Is there a mathematical concept used to ...
140 views

### Given a set of numbers, what mathematical name is given to the most frequent number

Assume a set of numbers {0,1,2,3,4,4,4,4,4,5,6,7,8,9} What mathematical name is given to the number that most frequently occurs? For example, if I was to count the number of occurrences for each ...
130 views

### component and dimension in Gaussian mixture model

What is the relation between a dimension and a component in a Gaussian Mixture Model? And what is the meaning of dimension and component? Thank you. Please correct me if I'm wrong: my understanding ...