Classic topics on the history of modern mathematical statistics : from Laplace to more recent times /: from Laplace to more recent times. (2016)
- Record Type:
- Book
- Title:
- Classic topics on the history of modern mathematical statistics : from Laplace to more recent times /: from Laplace to more recent times. (2016)
- Main Title:
- Classic topics on the history of modern mathematical statistics : from Laplace to more recent times
- Further Information:
- Note: Prakash Gorroochurn.
- Authors:
- Gorroochurn, Prakash, 1971-
- Contents:
- Preface 5 Acknowledgements 9 Introduction: Landmarks in Pre-Laplacean Statistics 18 Chapter 1: The Laplacean Revolution 21 1.1 Pierre-Simon De Laplace (1749-1827) 21 1.2 Laplace’s Work in Probability and Statistics 26 1.3. The Principle of Indifference: Bayes’ Theorem, Laplace’s Rule of Succession, Hume’s Problem Of Induction, Bertrand’s Paradox, Invariance. 156 1.4. Fourier Transforms, Characteristic Functions, and Central Limit Theorems 179 1.5. Least Squares and the Normal Distribution 226 Chapter 2: Galton, Regression, and Correlation 275 2.1 Francis Galton (1822-1911) 275 2.2 Genesis of Regression and Correlation 280 2.3 Further Developments after Galton 313 2.4 Work On Correlation and the Bivariate (And Multivariate) Normal Distribution Before Galton 394 Chapter 3: Karl Pearson’s Chi-Squared Goodness-of-Fit Test 426 3.1 Karl Pearson (1857-1936) 426 3.2 Origin of Pearson’s Chi-Squared 430 3.3 Pearson’s Error 445 3.4 The Chi-Squared Distribution before Pearson 463 Chapter 4: Student’s T 501 4.1 William Sealy Gosset (1876-1937) 501 4.2 Origin of Student’s Test: The 1908 Paper 502 4.3 Further Developments 514 4.4 Student Anticipated 522 Chapter 5: The Fisherian Legacy 533 5.1 Ronald Aylmer Fisher (1890-1962) 533 5.2 Fisher and the Foundation of Estimation Theory 537 5.3 Fisher and Significance Testing 608 5.4 Anova and the Design of Experiments 620 5.5 Fisher and Probability 664 5.6 Fisher vs. Neyman-Pearson: Clash of The Titans 729 5.7 Maximum Likelihood before Fisher 780Preface 5 Acknowledgements 9 Introduction: Landmarks in Pre-Laplacean Statistics 18 Chapter 1: The Laplacean Revolution 21 1.1 Pierre-Simon De Laplace (1749-1827) 21 1.2 Laplace’s Work in Probability and Statistics 26 1.3. The Principle of Indifference: Bayes’ Theorem, Laplace’s Rule of Succession, Hume’s Problem Of Induction, Bertrand’s Paradox, Invariance. 156 1.4. Fourier Transforms, Characteristic Functions, and Central Limit Theorems 179 1.5. Least Squares and the Normal Distribution 226 Chapter 2: Galton, Regression, and Correlation 275 2.1 Francis Galton (1822-1911) 275 2.2 Genesis of Regression and Correlation 280 2.3 Further Developments after Galton 313 2.4 Work On Correlation and the Bivariate (And Multivariate) Normal Distribution Before Galton 394 Chapter 3: Karl Pearson’s Chi-Squared Goodness-of-Fit Test 426 3.1 Karl Pearson (1857-1936) 426 3.2 Origin of Pearson’s Chi-Squared 430 3.3 Pearson’s Error 445 3.4 The Chi-Squared Distribution before Pearson 463 Chapter 4: Student’s T 501 4.1 William Sealy Gosset (1876-1937) 501 4.2 Origin of Student’s Test: The 1908 Paper 502 4.3 Further Developments 514 4.4 Student Anticipated 522 Chapter 5: The Fisherian Legacy 533 5.1 Ronald Aylmer Fisher (1890-1962) 533 5.2 Fisher and the Foundation of Estimation Theory 537 5.3 Fisher and Significance Testing 608 5.4 Anova and the Design of Experiments 620 5.5 Fisher and Probability 664 5.6 Fisher vs. Neyman-Pearson: Clash of The Titans 729 5.7 Maximum Likelihood before Fisher 780 5.8 Significance Testing before Fisher 806 Chapter 6: Beyond Fisher and Neyman-Pearson 853 6.1 Extensions to the Theory of Estimation 853 6.2 Estimation and Hypothesis Testing Under a Single Framework: Wald’s Statistical Decision Theory (1950) 913 6.3 The Bayesian Revival 929 Photo Credits 984 … (more)
- Edition:
- 1st
- Publisher Details:
- Hoboken, New Jersey : John Wiley & Sons, Inc
- Publication Date:
- 2016
- Extent:
- 1 online resource
- Subjects:
- 519.509
Mathematical statistics -- History
Probabilities -- History - Languages:
- English
- ISBNs:
- 9781119127949
9781119127932 - Related ISBNs:
- 9781119127925
- Notes:
- Note: Description based on CIP data; item not viewed.
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- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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- Physical Locations:
- British Library HMNTS - ELD.DS.50493
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- 02_007.xml