Elementary Probability Theory:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston, MA
Springer US
1995
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-1-4615-1753-5 |
| Beschreibung: | This text contains ample material for a one term precalculus introduction to probability theory. lt can be used by itself as an elementary introduction to probability, or as the probability half of a one-year probabilitystatistics course. Although the development of the subject is rigorous, experimental motivation is maintained throughout the text. Also, statistical and practical applications are given throughout. The core of the text consists of the unstarred sections, most of chapters 1-3 and 5-7. Included are finite probability spaces, combinatorics, set theory, independence and conditional probability, random variables, Chebyshev's theorem, the law of large numbers, the binomial distribution, the normal distribution and the normal approximation to the binomial distribution. The starred sections include limiting and infinite processes, a mathematical discussion of symmetry, and game theory. These sections are indicated with an*, and are optional and sometimes more difficult. I have, in most places throughout the text, given decimal equivalents to fractional answers. Thus, while the mathematician finds the answer p = 17/143 satisfactory, the scientist is best appeased by the decimal approximation p = 0.119. A decimal answer gives a ready way of finding the correct order of magnitude and of comparing probabilities |
| Umfang: | 1 Online-Ressource (IX, 310 p) |
| ISBN: | 9781461517535 9781461357063 |
| DOI: | 10.1007/978-1-4615-1753-5 |
Internformat
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| 500 | |a This text contains ample material for a one term precalculus introduction to probability theory. lt can be used by itself as an elementary introduction to probability, or as the probability half of a one-year probabilitystatistics course. Although the development of the subject is rigorous, experimental motivation is maintained throughout the text. Also, statistical and practical applications are given throughout. The core of the text consists of the unstarred sections, most of chapters 1-3 and 5-7. Included are finite probability spaces, combinatorics, set theory, independence and conditional probability, random variables, Chebyshev's theorem, the law of large numbers, the binomial distribution, the normal distribution and the normal approximation to the binomial distribution. The starred sections include limiting and infinite processes, a mathematical discussion of symmetry, and game theory. These sections are indicated with an*, and are optional and sometimes more difficult. I have, in most places throughout the text, given decimal equivalents to fractional answers. Thus, while the mathematician finds the answer p = 17/143 satisfactory, the scientist is best appeased by the decimal approximation p = 0.119. A decimal answer gives a ready way of finding the correct order of magnitude and of comparing probabilities | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Distribution (Probability theory) | |
| 650 | 4 | |a Statistics | |
| 650 | 4 | |a Probability Theory and Stochastic Processes | |
| 650 | 4 | |a Statistics, general | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Statistik | |
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Datensatz im Suchindex
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| author | Hausner, Melvin 1928- |
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| 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 |
| doi_str_mv | 10.1007/978-1-4615-1753-5 |
| format | Electronic eBook |
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| genre | 1\p (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV042420860 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:43Z |
| institution | BVB |
| isbn | 9781461517535 9781461357063 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856277 |
| oclc_num | 864738098 |
| open_access_boolean | |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (IX, 310 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Springer US |
| record_format | marc |
| spellingShingle | Hausner, Melvin 1928- Elementary Probability Theory Mathematics Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics, general Mathematik Statistik Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| subject_GND | (DE-588)4064324-4 (DE-588)4151278-9 |
| title | Elementary Probability Theory |
| title_auth | Elementary Probability Theory |
| title_exact_search | Elementary Probability Theory |
| title_full | Elementary Probability Theory by Melvin Hausner |
| title_fullStr | Elementary Probability Theory by Melvin Hausner |
| title_full_unstemmed | Elementary Probability Theory by Melvin Hausner |
| title_short | Elementary Probability Theory |
| title_sort | elementary probability theory |
| topic | Mathematics Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics, general Mathematik Statistik Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics, general Mathematik Statistik Wahrscheinlichkeitsrechnung Einführung |
| url | https://doi.org/10.1007/978-1-4615-1753-5 |
| work_keys_str_mv | AT hausnermelvin elementaryprobabilitytheory |