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Fundamentals of Mathematical Statistics : Probability for Statistics

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Cover of 'Fundamentals of Mathematical Statistics : Probability for Statistics'

Table of Contents

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    Book Overview
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    Chapter 1 Relative Frequency
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    Chapter 2 Sample Spaces
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    Chapter 3 Some Rules About Sets
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    Chapter 4 The Counting Function for Finite Sets
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    Chapter 5 Probability on Finite Sample Spaces
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    Chapter 6 Ordered Selections
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    Chapter 7 Unordered selections
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    Chapter 8 Some Uniform Probability Spaces
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    Chapter 9 Conditional Probability/Independence
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    Chapter 10 Bayes’ Rule
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    Chapter 11 Random Variables
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    Chapter 12 Expectation
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    Chapter 13 A Hypergeometric Distribution
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    Chapter 14 Sampling and Simulation
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    Chapter 15 Testing Simple Hypotheses
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    Chapter 16 An Acceptance Sampling Plan
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    Chapter 17 The Binomial Distribution
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    Chapter 18 Matching and Catching
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    Chapter 19 Confidence Intervals for a Bernoulli θ
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    Chapter 20 The Poisson Distribution
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    Chapter 21 The Negative Binomial Distribution
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    Chapter 22 Some Set Theory
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    Chapter 23 Basic Probability Theory
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    Chapter 24 The Cumulative Distribution Function
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    Chapter 25 Some Continuous CDFs
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    Chapter 26 The Normal Distribution
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    Chapter 27 Some Algebra of Random Variables
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    Chapter 28 Convergence of Sequences of Random Variables
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    Chapter 29 Convergence Almost Surely and in Probability
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    Chapter 30 Integration — I
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    Chapter 31 Integration II
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    Chapter 32 Theorems for Expectation
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    Chapter 33 Stieltjes Integrals
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    Chapter 34 Product Measures and Integrals
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    Chapter 35 Joint Distributions: Discrete
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    Chapter 36 Conditional Distributions: Discrete
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    Chapter 37 Joint Distributions: Continuous
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    Chapter 38 Conditional Distributions: Continuous
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    Chapter 39 Expectation-Examples
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    Chapter 40 Convergence in Mean, in Distribution
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    Chapter 41 Other Relations in Modes of Convergence
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    Chapter 42 Laws of Large Numbers
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    Chapter 43 Convergence of Sequences of Distribution Functions
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    Chapter 44 Convergence of Sequences of Integrals
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    Chapter 45 On the Sum of Random Variables
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    Chapter 46 Characteristic Functions —I
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    Chapter 47 Characteristic Functions–II
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    Chapter 48 Convergence of Sequences of Characteristic Functions
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    Chapter 49 Central Limit Theorems
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Title
Fundamentals of Mathematical Statistics : Probability for Statistics
Published by
Springer New York, December 2012
DOI 10.1007/978-1-4612-1013-9
ISBNs
978-1-4612-1013-9, 978-1-4612-6984-7
Authors

Nguyen, Hung T., Rogers, Gerald S.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 93 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
India 4 4%
Australia 2 2%
United Kingdom 1 1%
Virgin Islands, U.S. 1 1%
United States 1 1%
Unknown 84 90%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 30 32%
Researcher 12 13%
Unspecified 11 12%
Student > Master 11 12%
Student > Bachelor 8 9%
Other 21 23%
Readers by discipline Count As %
Mathematics 13 14%
Social Sciences 12 13%
Unspecified 12 13%
Engineering 10 11%
Economics, Econometrics and Finance 8 9%
Other 38 41%