The History of Statistics: The Measurement of Uncertainty Before 1900Harvard University Press, 1986 - 410 стор. This magnificent book is the first comprehensive history of statistics from its beginnings around 1700 to its emergence as a distinct and mature discipline around 1900. Stephen M. Stigler shows how statistics arose from the interplay of mathematical concepts and the needs of several applied sciences including astronomy, geodesy, experimental psychology, genetics, and sociology. He addresses many intriguing questions: How did scientists learn to combine measurements made under different conditions? And how were they led to use probability theory to measure the accuracy of the result? Why were statistical methods used successfully in astronomy long before they began to play a significant role in the social sciences? How could the introduction of least squares predate the discovery of regression by more than eighty years? On what grounds can the major works of men such as Bernoulli, De Moivre, Bayes, Quetelet, and Lexis be considered partial failures, while those of Laplace, Galton, Edgeworth, Pearson, and Yule are counted as successes? How did Galton’s probability machine (the quincunx) provide him with the key to the major advance of the last half of the nineteenth century? |
Зміст
Introduction | 1 |
Least Squares and the Combination of Observations | 11 |
Probabilists and the Measurement of Uncertainty | 62 |
Inverse Probability | 99 |
Laplace and the Tides of the Atmosphere | 148 |
11 | 157 |
62 | 173 |
Poisson and the Law of Large Numbers | 182 |
Attempts to Revive the Binomial | 221 |
Psychophysics as a Counterpoint | 239 |
Galton | 265 |
Edgeworth | 300 |
Pearson and Yule | 326 |
Appendix A Syllabus for Edgeworths 1885 Lectures | 363 |
Suggested Readings | 370 |
396 | |
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The History of Statistics: The Measurement of Uncertainty before 1900 Stephen M. Stigler Обмежений попередній перегляд - 1990 |
The History of Statistics: The Measurement of Uncertainty Before 1900 Stephen M. Stigler Перегляд фрагмента - 1986 |