Page 614 - Probability and Statistical Inference

14

Appendix

The first section includes a summary of frequently used abbreviations and
some notation. The Section 14.2 provides brief biographical notes on some of
the luminaries mentioned in the book. In the end, a few standard statistical
tables are included. These tables were prepared with the help of MAPLE.

14.1 Abbreviations and Notation

Some of the abbreviations and notation are summarized here.

χ space of the values x for the random variable X
ℜ real line; (–8, 8)
ℜ + positive half of ℜ; (0, ∞)
∈; x ∈ A belongs to; x belongs to the set A
A(⊂) ⊆ B A is a (proper) subset of B
! denotes end of an example
! denotes end of proof in theorems
¿ denotes end of proof of lengthy subcases
ϕ empty set
lhs left hand side
rhs right hand side
log(a), a > 0 natural (base e) logarithm of a
pmf; PMF probability mass function
pdf; PDF probability density function
df; DF distribution function
cdf; CDF cumulative distribution function
mgf; MGF moment generating function
iid independent and identically distributed
product of a , a , ..., a
1 2 n
w.p. 1 with probability one
x, X, θ vectors of dimension more than one
a ≡ b a, b are equivalent
Γ(α), α > 0 gamma function;
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