Theory of probability: a historical essay
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
NG-Verl.
2009
|
| Ausgabe: | 2., rev. and enlarged ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 326 S. graph. Darst. 24 cm |
| ISBN: | 3938417889 |
Internformat
MARC
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| 100 | 1 | |a Šejnin, Oskar B. |d 1925- |e Verfasser |0 (DE-588)128703350 |4 aut | |
| 245 | 1 | 0 | |a Theory of probability |b a historical essay |c Oscar Sheynin |
| 250 | |a 2., rev. and enlarged ed. | ||
| 264 | 1 | |a Berlin |b NG-Verl. |c 2009 | |
| 300 | |a 326 S. |b graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 648 | 7 | |a Geschichte Anfänge-2000 |2 gnd |9 rswk-swf | |
| 648 | 7 | |a Geschichte |2 gnd |9 rswk-swf | |
| 650 | 4 | |a Wahrscheinlichkeitstheorie - Geschichte | |
| 650 | 4 | |a Geschichte | |
| 650 | 4 | |a Probabilities |x History | |
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Datensatz im Suchindex
| _version_ | 1804138887839219712 |
|---|---|
| adam_text | Contents
Preface
............................................................................................................5
0.
Introduction
...............................................................................................8
0.1.
The Stages
................................................................................................8
0.2.
Mathematical Statistics
..............................................................................8
0.3.
The Theory of Errors
.................................................................................9
0.4.
The Statistical Method
................................................................................9
1.
The Antenatal Period
..............................................................................11
1.1.
Randomness, Probability, Expectation
....................................................11
1.2.
Mathematical Treatment of Observations
...............................................11
2.
The Early History
....................................................................................38
2.1.
Stochastic Ideas in Science and Society
.................................................38
2.2.
Mathematical Investigations
...................................................................47
3.
Jakob Bernoulli and the Law of Large Numbers
....................................55
3.1.
Bernoulli s Works
...................................................................................55
3.2.
The Art of Conjecturing
(1713),
Part
4:
Its Main Propositions
...............58
3.3.
Bernoulli s Contemporaries
............................................................,.......63
4.
DeMoivre and the
De
Moivre
-
Laplace Limit Theorem
.....................67
4.1.
The Measurement of Chance
(1712)..................................................67
4.2.
Life Insurance
........................................................................................68
4.3.
The Doctrine of Chances
(1718,1738, 1756)........................................69
4.4.
The
De
Moivre
-
Laplace Theorem
........................................................70
5.
Bayes
.........................................................................................................73
5.1.
The
Bayes
Formula and Induction
..........................................................73
5.2.
The Limit Theorem
.................................................................................75
5.3.
Additional Remark
.................................................................................76
6.
Other Investigations before Laplace
.......................................................77
6.1
Stochastic Investigations
.........................................................................77
6.2.
Statistical Investigations
.........................................................................85
6.3.
Mathematical Treatment of Observations
................................................91
7.
Laplace
.....................................................................................................106
7.1.
Theory of Probability
............................................................................106
7.2.
Theory of Errors
....................................................................................117
7.3.
Philosophical Views
...............................................................................128
7.4.
Conclusions
............................................................................................130
8.
Poisson
.......................................................................................................134
8.1.
Subjective Probability
............................................................................134
8.2.
Two New Notions
.................................................................................135
8.3.
The
De
Moivre-Laplace Limit Theorem
...............................................136
8.4.
Sampling without Replacement
............................................................136
8.5.
Limit Theorems for the
Poisson
Trials
...................................................138
8.6.
The Central Limit Theorem
...................................................................139
8.7.
The Law of Large Numbers
....................................................................140
8.8.
The Theory of Errors and Artillery.
..........................................................142
8.9.
Statistics
................................................................................................142
9.
Gauss
......................................................................................................146
9.1.
The Method of Least Squares before
1809.............................................147
9.2. Theoria
Mof,us( 809)
.............................................................................151
9.3.
Determining the Precision of Observations
(1816)..........................153
9.4.
The Theory of Combinations
(1823 - 1828)......................................155
9.5.
Additional Considerations
.....................................................................159
9.6.
More about the Method of Least Squares
.............................................161
9.7.
Other Topics
.........................................................................................162
10.
The Second Half of the
19
Century
....................................................164
lO.l.Cauchy
.................................................................................................164
10.2.Bienaymé
..............................................................................................165
10.3.
Cournot
................................................................................................169
lOABuniakovsky
.........................................................................................172
lO.S.Quetelet
...............................................................................................176
10.6.
Helmert
................................................................................................180
10.7.
Galton
...................................................................................................184
10.8.
Statistics
...............................................................................................186
10.9.
Statistics andNatural Sciences
.............................................................189
10.9.1.
Medicine
......................................................................................190
10.9.2.
Biology
.........................................................................................194
10.9.3.
Meteorology
................................................................................196
10.9.4.
Astronomy
..................................................................................199
10.9.5.
Physics
........................................................................................205
10.10.
Natural scientists
................................................................................211
10.10.1.
Ivory
.........................................................................................211
10.10.2
Fechner
......................................................................................212
10.10.3.
Mendeleev
.................................................................................214
11.
Bertrand
and
Poincaré
.........................................................................216
11.1.
Bertrand
.................................................................................................216
11.2.
Poincaré
................................................................................................219
12.
Geometric Probability
...........................................................................227
lS.Chebyshev
............................................................................................231
13.1.
His Contributions
................................................................................231
13.2.
His
Lectores
........................................................................................235
13.3.
Some General Considerations
.............................................................241
14.
Markov, Liapunov, Nekrasov
..............................................................243
14.1.
Markov: General Scientific Issues
..............................................■........243
14.2-Markov: His Main Investigations
..........................................................247
14.3.
Markov: His Personal Traits
.................................................................253
14ALiapunov
..............................................................................................255
l^.Nekrasov
...............................................................................................256
15.
The Birth of Mathematical Statistics
.................................................260
15.1.
The Stability of Statistical Series
........................................................260
15.1.1.
Lexis
...........................................................................................260
lS.l^.Bortkiewicz
..................................................................................262
15.1.3.
Markov and Chuprov
...................................................................265
15.2.
The
Biometrie
School
............................................................................267
15.3.
The Merging of the Continental Direction and the
Biometrie
School?
...................................................................................................271
References
..................................................................................................274
Index of Names
..........................................................................................314
|
| any_adam_object | 1 |
| author | Šejnin, Oskar B. 1925- |
| author_GND | (DE-588)128703350 |
| author_facet | Šejnin, Oskar B. 1925- |
| author_role | aut |
| author_sort | Šejnin, Oskar B. 1925- |
| author_variant | o b š ob obš |
| building | Verbundindex |
| bvnumber | BV035441152 |
| classification_rvk | SK 800 |
| ctrlnum | (OCoLC)317290701 (DE-599)BVBBV035441152 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2., rev. and enlarged ed. |
| era | Geschichte Anfänge-2000 gnd Geschichte gnd |
| era_facet | Geschichte Anfänge-2000 Geschichte |
| format | Book |
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| spelling | Šejnin, Oskar B. 1925- Verfasser (DE-588)128703350 aut Theory of probability a historical essay Oscar Sheynin 2., rev. and enlarged ed. Berlin NG-Verl. 2009 326 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Geschichte Anfänge-2000 gnd rswk-swf Geschichte gnd rswk-swf Wahrscheinlichkeitstheorie - Geschichte Geschichte Probabilities History Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Geschichte Anfänge-2000 z DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Geschichte z 1\p DE-604 Digitalisierung BSBMuenchen application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017361404&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Šejnin, Oskar B. 1925- Theory of probability a historical essay Wahrscheinlichkeitstheorie - Geschichte Geschichte Probabilities History Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| subject_GND | (DE-588)4064324-4 (DE-588)4079013-7 |
| title | Theory of probability a historical essay |
| title_auth | Theory of probability a historical essay |
| title_exact_search | Theory of probability a historical essay |
| title_full | Theory of probability a historical essay Oscar Sheynin |
| title_fullStr | Theory of probability a historical essay Oscar Sheynin |
| title_full_unstemmed | Theory of probability a historical essay Oscar Sheynin |
| title_short | Theory of probability |
| title_sort | theory of probability a historical essay |
| title_sub | a historical essay |
| topic | Wahrscheinlichkeitstheorie - Geschichte Geschichte Probabilities History Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| topic_facet | Wahrscheinlichkeitstheorie - Geschichte Geschichte Probabilities History Wahrscheinlichkeitsrechnung Wahrscheinlichkeitstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017361404&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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