0
votes
1answer
17 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 ...
1
vote
2answers
39 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 ...
1
vote
1answer
31 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 $\Gamma$: ...
0
votes
1answer
19 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 ...
1
vote
1answer
35 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.
1
vote
2answers
132 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 ...
1
vote
1answer
54 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?
3
votes
1answer
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 ...
2
votes
2answers
152 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 ...
3
votes
0answers
84 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?
1
vote
1answer
35 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, ...
2
votes
2answers
142 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 ...
1
vote
2answers
261 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?
0
votes
1answer
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 ...
4
votes
1answer
134 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 ...
0
votes
2answers
243 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 ...
2
votes
1answer
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 ...
1
vote
1answer
169 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.)
0
votes
1answer
509 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
2
votes
1answer
136 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 ...
0
votes
1answer
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 ...
0
votes
1answer
172 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?
2
votes
2answers
772 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 ...
1
vote
1answer
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?
0
votes
1answer
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 ...
10
votes
2answers
232 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 ...
0
votes
1answer
319 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 ...
2
votes
3answers
247 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 ...
2
votes
2answers
117 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 ...
4
votes
1answer
135 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 ...
2
votes
2answers
121 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 ...
12
votes
4answers
5k views

Is positive the same as non-negative?

I would assume the answer to my question is yes, but I want to make sure because my book uses both terminologies. Please also indicate where zero falls into the mix. UPDATE: Here is an excerpt from ...
0
votes
1answer
104 views

If x is a p-value, what do we call x*(1-x)?

What do you call this function? f(x) = x * (1.0 - x) Does it have a name? It’s cropped up in at least two statistical formulas I've been asked to program so ...