|
\(\in\)
|
Is an element of
|
Chap. 2
|
|
\(\subset\)
|
Proper subset
|
Chap. 2
|
|
\(\subseteq\)
|
Subset
|
Chap. 2
|
|
\(\cup\)
|
Set union; or
|
Chap. 2
|
|
\(\cap\)
|
Set intersection; and
|
Chap. 2
|
|
\(A\setminus B\)
|
Set difference
|
Chap. 2
|
|
Superscript \(c\)
|
Set complement
|
Chap. 2
|
|
\(A\Delta B\)
|
Symmetric difference
|
Chap. 2
|
|
\(|A|\)
|
Cardinality of set \(A\)
|
Chap. 2
|
|
\(\aleph_0\)
|
The smallest infinite cardinality
|
Chap. 2
|
|
\(\mathfrak{c}\)
|
Cardinality of the continuum
|
Chap. 2
|
|
\(\mathbb{N}\)
|
Set of natural (counting) numbers
|
Chap. 2
|
|
\(\mathbb{Z}\)
|
Set of integers
|
Chap. 2
|
|
\(\mathbb{Q}\)
|
Set rational numbers
|
Chap. 2
|
|
\(\mathbb{R}\)
|
Set of real numbers
|
Chap. 2
|
|
\(\mathbb{R}^{+}_0\)
|
Set of non-negative real numbers
|
Chap. 2
|
|
\(\mathbb{R}_{+}\)
|
Set of positive real numbers
|
Chap. 2
|
|
\(\mathbb{R}_{-}\)
|
Set of negative real numbers
|
Chap. 2
|
|
\(\mathbb{C}\)
|
Set of complex numbers
|
Chap. 2
|
|
\(P^n_r\)
|
Permutation of \(r\) elements from \(n\)
|
Chap. 3
|
|
\(C^n_r\); \(\binom{n}{r}\)
|
Combination of \(r\) elements from \(n\)
|
Chap. 3
|
|
\(p_X(x)\)
|
Probability mass function of \(X\)
|
Chap. 3
|
|
\(f_X(x)\)
|
Probability density function of \(X\)
|
Chap. 3
|
|
\(F_X(x)\)
|
Distribution function for \(X\)
|
Chap. 3
|
|
\(\operatorname{E}[X]\); \(\mu\)
|
Expected value, or mean, of \(X\)
|
Chap. 4
|
|
\(\operatorname{var}[X]\); \(\sigma^2\)
|
Variance of \(X\)
|
Chap. 4
|
|
\(\gamma_1\)
|
Skewness
|
Chap. 4
|
|
\(\mathcal{R}_X\)
|
Range for rv \(X\)
|
Chap. 6
|
|
\(\gamma_2\)
|
Excess kurtosis
|
Chap. 6
|
|
\(M_X(t)\)
|
Moment generating function (MGF)
|
Chap. 6
|
|
\(\mu'_r\)
|
\(r\)th raw moment
|
Chap. 6
|
|
\(\mu_r\)
|
\(r\)th central moment
|
Chap. 6
|
|
\(K_X(t)\)
|
Cumulant generating function (CGF)
|
Chap. 6
|
|
\(\varphi_X(t)\)
|
Characteristic function
|
Chap. 6
|
|
\(\kappa_r\)
|
\(r\)th cumulant
|
Chap. 6
|
|
\(\phi(\cdot)\)
|
Standard normal density function
|
Chap. 8
|
|
\(\Phi(\cdot)\)
|
Cumulative standard normal distribution function
|
Chap. 8
|
|
\(\operatorname{erf}(x)\)
|
Error function
|
Chap. 8
|