October 2022
Intermediate to advanced
448 pages
12h 24m
English
book
Nonparametric Statistics with Applications to Science and Engineering with R, 2nd Edition
by Paul Kvam, Brani Vidakovic, Seong-joon Kim
Content preview from Nonparametric Statistics with Applications to Science and Engineering with R, 2nd Edition
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2Probability Basics
Probability theory is nothing but common sense reduced to calculation.
Pierre Simon Laplace (1749–1827)
In Chapters 2 and 3, we review some fundamental concepts of elementary probability and statistics. If you think you can use these chapters to catch up on all the statistics you forgot since you passed “Introductory Statistics” in your college sophomore year, you are acutely mistaken. What is offered here is an abbreviated reference list of definitions and formulas that have applications to nonparametric statistical theory. Some parametric distributions, useful for models in both parametric and nonparametric procedures, are listed, but the discussion is abridged.
2.1 Helpful Functions
- Permutations: The number of arrangements of
distinct objects is 
In R: factorial(n). - Combinations: The number of distinct ways of choosing
items from a set of 
is
In R:
choose(n,k). Note that all possible ways of choosing items from a set of can be obtained bycombn(n,k) ...
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