Probability, Statistics, and Truth

Front Cover
Courier Dover Publications, 1957 - Mathematics - 244 pages
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This comprehensive study of probability, its relation to statistics, and its truth-finding value considers the approaches of Pascal, Laplace, Poisson, and others. It also discusses Laws of Large Numbers, the theory of errors, and other relevant topics. Numerous examples complement the text.
  

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Contents

PREFACE TO THE THIRD GERMAN EDITION
1
The Inadequacy of Theories
7
Two Different Pairs of Dice
13
Probability in the Gas Theory
20
Example of Randomness
27
Distribution in a Collective
34
Mixing
40
Initial and Final Probability of an Attribute
46
The Strong Law of Large Numbers
127
Closing Remarks
133
Marbes Uniformity in the World
139
Lexis Theory of Dispersion
145
Normal and Nonnormal Dispersion
152
R A Fishers Likelihood
158
Some Results Summarized
165
Descriptive Statistics
166

Test of Independence
53
Solution of the Problem of Chevalier de Méré
62
Do Not Always Exist
69
The Subjective Conception of Probability
75
FOURTH LECTURE
80
Objections to My Theory
81
Objections to the Condition of Randomness
87
A Problem of Terminology
93
Probability as Part of the Theory of Sets
99
Poissons Two Different Propositions
104
The Content of Poissons Theorem
112
Initial and Inferred Probability
120
The Application of the Theory of Errors
172
Random Fluctuations
178
Order of Magnitude of Improbability
184
Entropy Theorem and Markoff Chains
192
Marsdens and Barratts Experiments
198
Causal Explanation in Newtons Sense
204
The Law of Causality
210
Heisenbergs Uncertainty Principle
216
SuMMARY or THE SIX LECTuRES IN SIXTEEN PRoPoSITIoNS
224
SuBJECT INDEX
237
NAME INDEX
243
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