Law of large numbers
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An illustration of the law of large numbers using a particular run of rolls of a single die. As the
number of rolls in this run increases, the average of the values of

Kullback's inequality
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In information theory and statistics, Kullback's inequality is a lower bound on
the KullbackLeibler divergence expressed in terms of the large deviations
rate function

Dirichlet distribution
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Dirichlet
Probability
density
function
Paramete
rs
number of categories (integer)
concentration parameters, where
Support
where
pdf
where
where
Mean
and
(see digamma

Random variable
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Probability theory
Probability axioms
Probability space Sample space Elementary
event Event Random variable Probability
measure
Complementary event Joint probability
Margina

Lukacs's proportion-sum
independence theorem
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In statistics, Lukacs's proportion-sum independence theorem is a result
that is us

Generalized Dirichlet distribution
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In statistics, the generalized Dirichlet distribution (GD) is a generalization of
the Dirichlet distribution with a more general covariance structure and

Probability interpretations
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[hide]
This article has multiple issues. Please help improve it or discuss these
issues on the talk page.
This ar

Frequentist probability
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"Statistical probability" redirects here. For the episode of Star Trek: Deep
Space Nine, see Statistical Probabilities.
This

Law of the iterated logarithm
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Plot of
(red), its variance
given by CLT (blue) and its bound
given by LIL (green). Notice the way it randomly switches from the
upper bound given by the law o

Bayes' theorem
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A blue neon sign, showing the simple statement of Bayes' theorem
Bayesian statistics
Theory
Admissible decision rule Bayesian efficiency
Bayesian probability Probability
inte

Abstract Wiener space
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An abstract Wiener space is a mathematical object in measure theory, used
to construct a "decent" (strictly positive and locally finite) measure on an
infinite-dimensi

Jeffreys prior
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In Bayesian probability, the Jeffreys prior, named after Harold Jeffreys, is
a non-informative (objective) prior distribution on parameter space that is
proportional to the s

Wiener process
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A single realization of a one-dimensional Wiener process
A single realization of a three-dimensional Wiener process
In mathematics, the Wiener process is a continuous-time st

Randomness
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"Random" redirects here. For other uses, see Random (disambiguation).
For a random Wikipedia article, see Special:Random. For information about
Wikipedia's random article feature

Probability
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Probability
Outline Catalog of articles
Probabilists Glossary
Notation Journals Category
vte
Certainty series
Agnosticism
Approximation
Belief
Certainty
Doubt
Determinism
Episte

Probability distribution
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This article is about probability distribution. For generalized functions in
mathematical analysis, see Distribution (mathematics). For other uses, see
Distribution

Grouped data
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Grouped data is a statistical term used in data analysis. A raw dataset can be
organized by constructing a table showing the frequency distribution of the
variable (whose value

Histogram
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For the histograms used in digital image processing, see Image histogram
and Color histogram.
Histo
gram
First
describ
ed by
Purpos
e
Karl Pearson
To roughly assess the probabilit

Data binning
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This article needs attention from an expert in Statistics. Please add a reason o
explain the issue with the article. WikiProject Statistics (or its Portal) may be able t
Data b

Intraclass correlation
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A dot plot showing a dataset with high intraclass correlation. Values from the same group
tend to be similar.
A dot plot showing a dataset with low intraclass correla

Level of measurement
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In statistics and quantitative research methodology, various attempts have
been made to classify variables (or types of data) and thereby develop a
taxonomy of levels o

CramrRao bound
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In estimation theory and statistics, the CramrRao bound (CRB) or
CramrRao lower bound (CRLB), named in honor of Harald Cramr and
Calyampudi Radhakrishna Rao who were among th

Fisher information
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In mathematical statistics, the Fisher information (sometimes simply called
information[1]) is a way of measuring the amount of information that an
observable random vari

Structure theorem for Gaussian
measures
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This article does not cite any references or sources. Please help improve this a
sources. Unsourced material may be challenged and removed. (December

Chinese restaurant process
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This article may be too technical for most readers to understand. Please help i
understandable to non-experts, without removing the technical details. The talk pa

KreinMilman theorem
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Given a convex shape K (light blue) and its set of extreme points B (red), the convex hull of
B is K .
In the mathematical theory of functional analysis, the KreinMilman

Mazur's lemma
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In mathematics, Mazur's lemma is a result in the theory of Banach spaces. It
shows that any weakly convergent sequence in a Banach space has a
sequence of convex combinations

Midterm
Thursday 29 March 2-3.30pm in Clancy
Auditorium.
Special circumstances: send an email
a.s.a.p.!
Not only memorize, be able to apply,
explain, analyse, and generalize it! (deep
learning)
Week 1, 2, 3, and 4
Solo taxonomy

SUNCORPHOMEINSURANCE
1. Executive summary
2. Purpose of the report
3. Outline of what analysis was done
4. Summary of data used
5. Results of the analysis
6. Conclusion and recommendation
Tests:
test (tests the variance)
Standard deviation test (If this i