# Questions tagged [notation]

For questions about statistical notation and mathematical notation used in statistics.

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### Question about conventions for notation of random and regular variables in this regression example

I’m trying to follow some lectures notes on regression I found online and want to make sure I’m interpreting the notations correctly. On page 4 here, we have $\mu(x) = E[Y | X = x]$. Is it correct ...
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### Is it correct to write $\Bbb E[X]$ or $\Bbb E_{\theta}[X]$?

Suppose that we observe the discrete random variable $X = (X_1, \dotsc , X_n)$ with state space S, whose distribution we do not know but we are assuming that its joint p.m.f. belongs to a known ...
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### What does X²(1, N=100) =6.83, p =0.009 mean?

I am reading scientific research (Link) and stumbled upon the following notation: X²(1, N=100)=6.83, p =0.009. An explanation is given as follows: ...
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### Prediction model clarification

I have the following formula and I'm trying to understand whether the square root, Rˆ2 the coefficient of determination is and whether sdev(y) the standard deviation of the outcome variable is. Please ...
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### Set Notation in probability

My problem is below, however the notation is confusing me. Consider an experiment where you throw two three-sided dice. Let $F_n$ be the event “The ﬁrst die rolls an $n$” and $S_n$ be “The second die ...
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### Formula for expectation that works both for the continuous and discrete cases

Consider a random variable $X$ with support $\mathcal{X}$ and probability distribution $P$. I want to write down the formula for the expectation of $X$ (other than $E(X)$) that generically works for ...
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The following is copied from some old course notes: $F_{X-\theta}(x)=P(X-\theta < x) = P(X<x+\theta)=F_\theta(x+\theta)=F_0(x+\theta-\theta)=F_0(x)$ Is anyone able to explain the $P(X<x+\... 1answer 18 views ### Notation in definition of a quantity involving uncertainty and posterior probability As a probs & stats noob, I'm still getting confused by notation. I would appreciate if someone could elaborate a bit on what's going on here, on p12 of Settles' Active Learning survey (2012). He ... 1answer 85 views ### Notation for unevenly-spaced to evenly-spaced time series conversion I have an unevenly-spaced time series. To make it evenly-spaced, I resample the time series to a larger timespan (e.g. day) and sum up all values within this time frame. In Python (and pandas) it is ... 1answer 62 views ### Linear Regression - Vector Notation I'm a bit confused about the vector notation of the linear regression vector notation. We have this:$X : n\times p$matrix of data we have obtained;$\beta: p\times 1$matrix of coefficients I ... 0answers 24 views ### Question regarding notation for F-distribution Apologies for the basic question; I don't have a very deep or broad background in statistics. I am reading this paper on phase transitions in the existence of maximum likelihood estimators for ... 2answers 518 views ### What does this notation mean:$F$at the matrix norm and$Q$under the$\arg\min$I am trying to figuring out what is meant by Q and F in the 4th equation mentioned in this paper: Diachronic Word Embeddings ... 0answers 8 views ### Conditional probability formula for continuous random variables [duplicate] Let$V,T$be two random variables with supports$\mathcal{V},\mathcal{T}$, respectively. Let$P_{V|T}$denote the probability distribution of$V$coditional on$TP_{V,T}$denote the probability ... 1answer 70 views ### Application of law of total probability for continuous random variables Consider 3 random variables$Y,V,T$, with supports$\mathcal{Y},\mathcal{V},\mathcal{T}$, respectively. Let$P_{Y,V}$denote the probability distribution of$(Y,V)P_{V}$denote the probability ... 0answers 43 views ### Formula for expected value of continuous random variable without using density I'm looking for some correct notation. Consider the random variable$V$with support$\mathcal{V}$and probability distribution$P_V$. Consider a function$u:\mathcal{V}\rightarrow \mathbb{R}$. Let$...
In the context of reinforcement learning, I have seen the formula $$V^\pi(s)=\mathbb E_{\tau \sim \pi}[R(\tau)|s_0=s]$$ and $$V^\pi(s)=\mathbb E_{a\sim \pi}[Q^\pi(s,a)]$$ Does this notation have ...