A programmed introduction to the theory of probability:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Verl. Die Wirtschaft
1973
|
| Edition: | Rev. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 168 S. Ill. |
Staff View
MARC
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| 245 | 1 | 0 | |a A programmed introduction to the theory of probability |c Dieter Stempell |
| 250 | |a Rev. ed. | ||
| 264 | 1 | |a Berlin |b Verl. Die Wirtschaft |c 1973 | |
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Record in the Search Index
| _version_ | 1804119926714138624 |
|---|---|
| adam_text | Contents
Page
Prefatory notes 3
The basis of probability theory Frame
The theory of probability, random events 1
Complementary events, the sum of two events,
certain events, impossible events 3
The product of two events 5
The sum and the product of several events 9
Axioms, the addition law of probabilities 11
The probability of an impossible event 14
The classical definition of probability 15
Statistical determination of probability, relative frequency 25
The multiplication law of probabilities
The multiplication law 30
Factorials, binomial coefficients 47
Bernouilli trials 48
Pascal s triangle 52
Conditional probability and total probability
Conditional probability 53
The law of total probability 60
Bayes theorem 61
Random variables and distribution functions
Random variables 68
Discontinuous and continuous random variables 72
Distribution functions 74
Properties of the discontinuous distribution function 75
Properties of the continuous distribution function,
the density function 78
¦ Frame
The expectation of a discontinuous random variable 86
The standard deviation of a discontinuous random variable 87
The expectation and the standard deviation of a
continuous random variable • 93
Discontinuous distribution functions
The binomial distribution 94
Properties of the binomial distribution 102
The Poisson distribution 105
The distribution function of the Poisson distribution 107
The parameter of the Poisson distribution 110
Advantages of the Poisson distribution 113
Properties of the Poisson distribution 114
Continuous distribution functions
The normal distribution 116
The distribution function of the normal distribution 120
Properties of the normal distribution 121
Evaluation to standardised normal distribution 128
The confidence interval 130
Chebishev inequality 136
Laplace s theorem 138
The beta distribution 140
The exponential distribution 143
Review of distribution functions 144
The law of large numbers 145
Page
Overall test 139
Hints for the solution of the test questions 144
Solutions to the test questions 147
To fill in the gaps in the Frames 151
Solutions to the spot check problems 155
Index 157
Appendix 159
|
| any_adam_object | 1 |
| author | Stempell, Dieter |
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| discipline | Mathematik Wirtschaftswissenschaften |
| edition | Rev. ed. |
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| genre_facet | Einführung |
| id | DE-604.BV005744922 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:33:57Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003586707 |
| oclc_num | 1584446 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-11 |
| physical | 168 S. Ill. |
| psigel | HUB-ZB011201111 |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Verl. Die Wirtschaft |
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| spelling | Stempell, Dieter Verfasser aut Programmierte Einführung in die Wahrscheinlichkeitsrechnung A programmed introduction to the theory of probability Dieter Stempell Rev. ed. Berlin Verl. Die Wirtschaft 1973 168 S. Ill. txt rdacontent n rdamedia nc rdacarrier Probabilities Programmed instruction Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003586707&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stempell, Dieter A programmed introduction to the theory of probability Probabilities Programmed instruction Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| subject_GND | (DE-588)4064324-4 (DE-588)4151278-9 |
| title | A programmed introduction to the theory of probability |
| title_alt | Programmierte Einführung in die Wahrscheinlichkeitsrechnung |
| title_auth | A programmed introduction to the theory of probability |
| title_exact_search | A programmed introduction to the theory of probability |
| title_full | A programmed introduction to the theory of probability Dieter Stempell |
| title_fullStr | A programmed introduction to the theory of probability Dieter Stempell |
| title_full_unstemmed | A programmed introduction to the theory of probability Dieter Stempell |
| title_short | A programmed introduction to the theory of probability |
| title_sort | a programmed introduction to the theory of probability |
| topic | Probabilities Programmed instruction Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Probabilities Programmed instruction Wahrscheinlichkeitsrechnung Einführung |
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