R W Hamming
The Art Of Probability
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R W Hamming
The Art Of Probability
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Every field of knowledge has its subject matter and its methods, along with a style for handling them. The field of Probability has a great deal of Art component in it - not only is the subject matter rather different from that of other fields, but at present the techniques are not well organized into systematic methods.
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Every field of knowledge has its subject matter and its methods, along with a style for handling them. The field of Probability has a great deal of Art component in it - not only is the subject matter rather different from that of other fields, but at present the techniques are not well organized into systematic methods.
Produktdetails
- Produktdetails
- Verlag: Taylor and Francis
- Seitenzahl: 362
- Erscheinungstermin: 7. Mai 2019
- Englisch
- Abmessung: 231mm x 157mm x 25mm
- Gewicht: 635g
- ISBN-13: 9780367091262
- ISBN-10: 0367091267
- Artikelnr.: 57108648
- Verlag: Taylor and Francis
- Seitenzahl: 362
- Erscheinungstermin: 7. Mai 2019
- Englisch
- Abmessung: 231mm x 157mm x 25mm
- Gewicht: 635g
- ISBN-13: 9780367091262
- ISBN-10: 0367091267
- Artikelnr.: 57108648
Richard W Hamming
Probability
Introduction
Models in General
The Frequency Approach Rejected
The Single Event Model
Symmetry as the Measure of Probability
Independence
Subsets of a Sample Space
Conditional Probability
Randomness
Critique of the Model Some Mathematical Tools
Permutations
Combinations
The Binomial DistributionBernoulli Trials
Random Variables, Mean and the Expected Value
The Variance
The Generating Function
The Weak Law of Large Numbers
The Statistical Assignment of Probability
The Representation of Information Methods for Solving Problems
The Five Methods
The Total Sample Space and Fair Games
Enumeration
Historical Approach
Recursive Approach
Recursive Approach
The Method of Random Variables
Critique of the Notion of a Fair Game
Bernoulli Evaluation
Robustness
InclusionExclusion Principle Countably Infinite Sample Spaces
Introduction
Bernoulli Trials
On the Strategy to be Adopted
State Diagrams
Generating Functions of State Diagrams
Expanding a Rational Generating Function
Checking the Solution
Paradoxes Continuous Sample Spaces
A Philosophy of the Real Number System
Some First Examples
Some Paradoxes
The Normal Distribution
The Distribution of Numbers
Convergence to the Reciprocal Distribution
Random Times
Dead Times
Poisson Distribution in Time
Queing Theorem
Birth and Death Systems
Summary Uniform Probability Assignments Maximum Entropy
What is Entropy?
Shannons Entropy
Some Mathematical Properties of the Entropy Function
Some Simple Applications
The Maximum Entropy Principle Models of Probability
General Remarks
Maximum Likelihood in a Binary Choice
Von Mises Probability
The Mathematical Approach
The Statistical Approach
When The Mean Does Not Exist
Probability as an Extension of Logic
Di Finetti
Subjective Probability
Fuzzy Probability
Probability in Science
Complex Probability Some Limit Theorems
The Biomial Approximation for th
Introduction
Models in General
The Frequency Approach Rejected
The Single Event Model
Symmetry as the Measure of Probability
Independence
Subsets of a Sample Space
Conditional Probability
Randomness
Critique of the Model Some Mathematical Tools
Permutations
Combinations
The Binomial DistributionBernoulli Trials
Random Variables, Mean and the Expected Value
The Variance
The Generating Function
The Weak Law of Large Numbers
The Statistical Assignment of Probability
The Representation of Information Methods for Solving Problems
The Five Methods
The Total Sample Space and Fair Games
Enumeration
Historical Approach
Recursive Approach
Recursive Approach
The Method of Random Variables
Critique of the Notion of a Fair Game
Bernoulli Evaluation
Robustness
InclusionExclusion Principle Countably Infinite Sample Spaces
Introduction
Bernoulli Trials
On the Strategy to be Adopted
State Diagrams
Generating Functions of State Diagrams
Expanding a Rational Generating Function
Checking the Solution
Paradoxes Continuous Sample Spaces
A Philosophy of the Real Number System
Some First Examples
Some Paradoxes
The Normal Distribution
The Distribution of Numbers
Convergence to the Reciprocal Distribution
Random Times
Dead Times
Poisson Distribution in Time
Queing Theorem
Birth and Death Systems
Summary Uniform Probability Assignments Maximum Entropy
What is Entropy?
Shannons Entropy
Some Mathematical Properties of the Entropy Function
Some Simple Applications
The Maximum Entropy Principle Models of Probability
General Remarks
Maximum Likelihood in a Binary Choice
Von Mises Probability
The Mathematical Approach
The Statistical Approach
When The Mean Does Not Exist
Probability as an Extension of Logic
Di Finetti
Subjective Probability
Fuzzy Probability
Probability in Science
Complex Probability Some Limit Theorems
The Biomial Approximation for th
Probability
Introduction
Models in General
The Frequency Approach Rejected
The Single Event Model
Symmetry as the Measure of Probability
Independence
Subsets of a Sample Space
Conditional Probability
Randomness
Critique of the Model Some Mathematical Tools
Permutations
Combinations
The Binomial DistributionBernoulli Trials
Random Variables, Mean and the Expected Value
The Variance
The Generating Function
The Weak Law of Large Numbers
The Statistical Assignment of Probability
The Representation of Information Methods for Solving Problems
The Five Methods
The Total Sample Space and Fair Games
Enumeration
Historical Approach
Recursive Approach
Recursive Approach
The Method of Random Variables
Critique of the Notion of a Fair Game
Bernoulli Evaluation
Robustness
InclusionExclusion Principle Countably Infinite Sample Spaces
Introduction
Bernoulli Trials
On the Strategy to be Adopted
State Diagrams
Generating Functions of State Diagrams
Expanding a Rational Generating Function
Checking the Solution
Paradoxes Continuous Sample Spaces
A Philosophy of the Real Number System
Some First Examples
Some Paradoxes
The Normal Distribution
The Distribution of Numbers
Convergence to the Reciprocal Distribution
Random Times
Dead Times
Poisson Distribution in Time
Queing Theorem
Birth and Death Systems
Summary Uniform Probability Assignments Maximum Entropy
What is Entropy?
Shannons Entropy
Some Mathematical Properties of the Entropy Function
Some Simple Applications
The Maximum Entropy Principle Models of Probability
General Remarks
Maximum Likelihood in a Binary Choice
Von Mises Probability
The Mathematical Approach
The Statistical Approach
When The Mean Does Not Exist
Probability as an Extension of Logic
Di Finetti
Subjective Probability
Fuzzy Probability
Probability in Science
Complex Probability Some Limit Theorems
The Biomial Approximation for th
Introduction
Models in General
The Frequency Approach Rejected
The Single Event Model
Symmetry as the Measure of Probability
Independence
Subsets of a Sample Space
Conditional Probability
Randomness
Critique of the Model Some Mathematical Tools
Permutations
Combinations
The Binomial DistributionBernoulli Trials
Random Variables, Mean and the Expected Value
The Variance
The Generating Function
The Weak Law of Large Numbers
The Statistical Assignment of Probability
The Representation of Information Methods for Solving Problems
The Five Methods
The Total Sample Space and Fair Games
Enumeration
Historical Approach
Recursive Approach
Recursive Approach
The Method of Random Variables
Critique of the Notion of a Fair Game
Bernoulli Evaluation
Robustness
InclusionExclusion Principle Countably Infinite Sample Spaces
Introduction
Bernoulli Trials
On the Strategy to be Adopted
State Diagrams
Generating Functions of State Diagrams
Expanding a Rational Generating Function
Checking the Solution
Paradoxes Continuous Sample Spaces
A Philosophy of the Real Number System
Some First Examples
Some Paradoxes
The Normal Distribution
The Distribution of Numbers
Convergence to the Reciprocal Distribution
Random Times
Dead Times
Poisson Distribution in Time
Queing Theorem
Birth and Death Systems
Summary Uniform Probability Assignments Maximum Entropy
What is Entropy?
Shannons Entropy
Some Mathematical Properties of the Entropy Function
Some Simple Applications
The Maximum Entropy Principle Models of Probability
General Remarks
Maximum Likelihood in a Binary Choice
Von Mises Probability
The Mathematical Approach
The Statistical Approach
When The Mean Does Not Exist
Probability as an Extension of Logic
Di Finetti
Subjective Probability
Fuzzy Probability
Probability in Science
Complex Probability Some Limit Theorems
The Biomial Approximation for th