Probability Theory and Statistical Applications :: a Profound Treatise for Self-Study.
This accessible and easy-to-read book provides many examples to illustrate diverse topics in probability and statistics, from initial concepts up to advanced calculations. Special attention is devoted e.g. to independency of events, inequalities in probability and functions of random variables. The...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin/Boston :
De Gruyter,
2016.
|
| Schriftenreihe: | De Gruyter textbook.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This accessible and easy-to-read book provides many examples to illustrate diverse topics in probability and statistics, from initial concepts up to advanced calculations. Special attention is devoted e.g. to independency of events, inequalities in probability and functions of random variables. The book is directed to students of mathematics, statistics, engineering, and other quantitative sciences, in particular to readers who need or want to learn by self-study. The author is convinced that sophisticated examples are more useful for the student than a lengthy formalism treating the greatest possible generality. From the content:Mathematics revisionIntroduction to probabilityFinite sample spacesConditional probability and independenceOne-dimensional random variablesFunctions of random variablesBi-dimensional random variablesCharacteristics of random variablesDiscrete probability modelsContinuous probability modelsGenerating functions in probabilitySums of many random variablesSamples and sampling distributionsEstimation of parametersHypothesis tests. |
| Beschreibung: | 8.3 Properties of the expected value. |
| Beschreibung: | 1 online resource (294 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110402711 3110402718 |
Internformat
MARC
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| 505 | 0 | |a Preface ; Contents ; 1 Mathematics revision ; 1.1 Basic notions of sets ; 1.2 Basic concepts of combinatorics ; 1.2.1 More about binomial coefficients ; 1.2.2 Specific permutations and a generalization ; 1.3 Some special functions ; 1.4 Integration of bi-dimensional functions. | |
| 505 | 8 | |a 2 Introduction to probability 2.1 Mathematical models ; 2.2 Further examples of random experiments ; 2.3 Assigning probabilities to events ; 2.4 Basic notions of probability ; 3 Finite sample spaces ; 3.1 Equally likely outcomes ; 3.2 Variants of a random experiment. | |
| 505 | 8 | |a 4 Conditional probability and independence 4.1 Conditional probability ; 4.2 Bayes' theorem ; 4.3 Independent events ; 5 One-dimensional random variables ; 5.1 The concept of a random variable ; 5.2 Discrete random variables ; 5.3 The binomial distribution and extensions. | |
| 505 | 8 | |a 5.4 Continuous random variables 5.5 Distribution function ; 6 Functions of random variables ; 6.1 Continuous random variables ; 6.2 Discrete random variables ; 7 Bi-dimensional random variables ; 7.1 Discrete random variables ; 7.2 Continuous random variables. | |
| 505 | 8 | |a 7.3 Marginal distributions and independent variables 7.4 Conditional distributions and distribution functions ; 7.5 Functions of a random variable ; 8 Characteristics of random variables ; 8.1 The expected value of a random variable ; 8.2 Expectation of a function of a random variable. | |
| 500 | |a 8.3 Properties of the expected value. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a This accessible and easy-to-read book provides many examples to illustrate diverse topics in probability and statistics, from initial concepts up to advanced calculations. Special attention is devoted e.g. to independency of events, inequalities in probability and functions of random variables. The book is directed to students of mathematics, statistics, engineering, and other quantitative sciences, in particular to readers who need or want to learn by self-study. The author is convinced that sophisticated examples are more useful for the student than a lengthy formalism treating the greatest possible generality. From the content:Mathematics revisionIntroduction to probabilityFinite sample spacesConditional probability and independenceOne-dimensional random variablesFunctions of random variablesBi-dimensional random variablesCharacteristics of random variablesDiscrete probability modelsContinuous probability modelsGenerating functions in probabilitySums of many random variablesSamples and sampling distributionsEstimation of parametersHypothesis tests. | ||
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| 650 | 0 | |a Mathematical statistics. |0 http://id.loc.gov/authorities/subjects/sh85082133 | |
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| 653 | |a Convergence of random variables. | ||
| 653 | |a Generating functions. | ||
| 653 | |a Order statistics. | ||
| 653 | |a Probability measures. | ||
| 653 | |a Statistical applications. | ||
| 653 | |a Transforms of random variables. | ||
| 653 | |a Univariate and multivariate models. | ||
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Datensatz im Suchindex
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| _version_ | 1816882356123860992 |
| adam_text | |
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| author | Zörnig, Peter |
| author_GND | http://id.loc.gov/authorities/names/n92086337 |
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| contents | Preface ; Contents ; 1 Mathematics revision ; 1.1 Basic notions of sets ; 1.2 Basic concepts of combinatorics ; 1.2.1 More about binomial coefficients ; 1.2.2 Specific permutations and a generalization ; 1.3 Some special functions ; 1.4 Integration of bi-dimensional functions. 2 Introduction to probability 2.1 Mathematical models ; 2.2 Further examples of random experiments ; 2.3 Assigning probabilities to events ; 2.4 Basic notions of probability ; 3 Finite sample spaces ; 3.1 Equally likely outcomes ; 3.2 Variants of a random experiment. 4 Conditional probability and independence 4.1 Conditional probability ; 4.2 Bayes' theorem ; 4.3 Independent events ; 5 One-dimensional random variables ; 5.1 The concept of a random variable ; 5.2 Discrete random variables ; 5.3 The binomial distribution and extensions. 5.4 Continuous random variables 5.5 Distribution function ; 6 Functions of random variables ; 6.1 Continuous random variables ; 6.2 Discrete random variables ; 7 Bi-dimensional random variables ; 7.1 Discrete random variables ; 7.2 Continuous random variables. 7.3 Marginal distributions and independent variables 7.4 Conditional distributions and distribution functions ; 7.5 Functions of a random variable ; 8 Characteristics of random variables ; 8.1 The expected value of a random variable ; 8.2 Expectation of a function of a random variable. |
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| dewey-ones | 519 - Probabilities and applied mathematics |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:27:18Z |
| institution | BVB |
| isbn | 9783110402711 3110402718 |
| language | English |
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| series | De Gruyter textbook. |
| series2 | De Gruyter Textbook |
| spelling | Zörnig, Peter. http://id.loc.gov/authorities/names/n92086337 Probability Theory and Statistical Applications : a Profound Treatise for Self-Study. Berlin/Boston : De Gruyter, 2016. 1 online resource (294 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter Textbook Print version record. Preface ; Contents ; 1 Mathematics revision ; 1.1 Basic notions of sets ; 1.2 Basic concepts of combinatorics ; 1.2.1 More about binomial coefficients ; 1.2.2 Specific permutations and a generalization ; 1.3 Some special functions ; 1.4 Integration of bi-dimensional functions. 2 Introduction to probability 2.1 Mathematical models ; 2.2 Further examples of random experiments ; 2.3 Assigning probabilities to events ; 2.4 Basic notions of probability ; 3 Finite sample spaces ; 3.1 Equally likely outcomes ; 3.2 Variants of a random experiment. 4 Conditional probability and independence 4.1 Conditional probability ; 4.2 Bayes' theorem ; 4.3 Independent events ; 5 One-dimensional random variables ; 5.1 The concept of a random variable ; 5.2 Discrete random variables ; 5.3 The binomial distribution and extensions. 5.4 Continuous random variables 5.5 Distribution function ; 6 Functions of random variables ; 6.1 Continuous random variables ; 6.2 Discrete random variables ; 7 Bi-dimensional random variables ; 7.1 Discrete random variables ; 7.2 Continuous random variables. 7.3 Marginal distributions and independent variables 7.4 Conditional distributions and distribution functions ; 7.5 Functions of a random variable ; 8 Characteristics of random variables ; 8.1 The expected value of a random variable ; 8.2 Expectation of a function of a random variable. 8.3 Properties of the expected value. Includes bibliographical references and index. This accessible and easy-to-read book provides many examples to illustrate diverse topics in probability and statistics, from initial concepts up to advanced calculations. Special attention is devoted e.g. to independency of events, inequalities in probability and functions of random variables. The book is directed to students of mathematics, statistics, engineering, and other quantitative sciences, in particular to readers who need or want to learn by self-study. The author is convinced that sophisticated examples are more useful for the student than a lengthy formalism treating the greatest possible generality. From the content:Mathematics revisionIntroduction to probabilityFinite sample spacesConditional probability and independenceOne-dimensional random variablesFunctions of random variablesBi-dimensional random variablesCharacteristics of random variablesDiscrete probability modelsContinuous probability modelsGenerating functions in probabilitySums of many random variablesSamples and sampling distributionsEstimation of parametersHypothesis tests. Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Mathematical statistics. http://id.loc.gov/authorities/subjects/sh85082133 Probability https://id.nlm.nih.gov/mesh/D011336 Probabilités. probability. aat MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Mathematical statistics fast Probabilities fast Wahrscheinlichkeitstheorie gnd http://d-nb.info/gnd/4079013-7 Statistik gnd Convergence of random variables. Generating functions. Order statistics. Probability measures. Statistical applications. Transforms of random variables. Univariate and multivariate models. has work: Probability theory and statistical applications (Text) https://id.oclc.org/worldcat/entity/E39PCFQqCqxQFm4WHDK7Xr8Vyb https://id.oclc.org/worldcat/ontology/hasWork Print version: Zörnig, Peter. Probability Theory and Statistical Applications : A Profound Treatise for Self-Study. Berlin/Boston : De Gruyter, ©2016 9783110363197 De Gruyter textbook. http://id.loc.gov/authorities/names/n94049545 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1289658 Volltext |
| spellingShingle | Zörnig, Peter Probability Theory and Statistical Applications : a Profound Treatise for Self-Study. De Gruyter textbook. Preface ; Contents ; 1 Mathematics revision ; 1.1 Basic notions of sets ; 1.2 Basic concepts of combinatorics ; 1.2.1 More about binomial coefficients ; 1.2.2 Specific permutations and a generalization ; 1.3 Some special functions ; 1.4 Integration of bi-dimensional functions. 2 Introduction to probability 2.1 Mathematical models ; 2.2 Further examples of random experiments ; 2.3 Assigning probabilities to events ; 2.4 Basic notions of probability ; 3 Finite sample spaces ; 3.1 Equally likely outcomes ; 3.2 Variants of a random experiment. 4 Conditional probability and independence 4.1 Conditional probability ; 4.2 Bayes' theorem ; 4.3 Independent events ; 5 One-dimensional random variables ; 5.1 The concept of a random variable ; 5.2 Discrete random variables ; 5.3 The binomial distribution and extensions. 5.4 Continuous random variables 5.5 Distribution function ; 6 Functions of random variables ; 6.1 Continuous random variables ; 6.2 Discrete random variables ; 7 Bi-dimensional random variables ; 7.1 Discrete random variables ; 7.2 Continuous random variables. 7.3 Marginal distributions and independent variables 7.4 Conditional distributions and distribution functions ; 7.5 Functions of a random variable ; 8 Characteristics of random variables ; 8.1 The expected value of a random variable ; 8.2 Expectation of a function of a random variable. Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Mathematical statistics. http://id.loc.gov/authorities/subjects/sh85082133 Probability https://id.nlm.nih.gov/mesh/D011336 Probabilités. probability. aat MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Mathematical statistics fast Probabilities fast Wahrscheinlichkeitstheorie gnd http://d-nb.info/gnd/4079013-7 Statistik gnd |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85107090 http://id.loc.gov/authorities/subjects/sh85082133 https://id.nlm.nih.gov/mesh/D011336 http://d-nb.info/gnd/4079013-7 |
| title | Probability Theory and Statistical Applications : a Profound Treatise for Self-Study. |
| title_auth | Probability Theory and Statistical Applications : a Profound Treatise for Self-Study. |
| title_exact_search | Probability Theory and Statistical Applications : a Profound Treatise for Self-Study. |
| title_full | Probability Theory and Statistical Applications : a Profound Treatise for Self-Study. |
| title_fullStr | Probability Theory and Statistical Applications : a Profound Treatise for Self-Study. |
| title_full_unstemmed | Probability Theory and Statistical Applications : a Profound Treatise for Self-Study. |
| title_short | Probability Theory and Statistical Applications : |
| title_sort | probability theory and statistical applications a profound treatise for self study |
| title_sub | a Profound Treatise for Self-Study. |
| topic | Probabilities. http://id.loc.gov/authorities/subjects/sh85107090 Mathematical statistics. http://id.loc.gov/authorities/subjects/sh85082133 Probability https://id.nlm.nih.gov/mesh/D011336 Probabilités. probability. aat MATHEMATICS Applied. bisacsh MATHEMATICS Probability & Statistics General. bisacsh Mathematical statistics fast Probabilities fast Wahrscheinlichkeitstheorie gnd http://d-nb.info/gnd/4079013-7 Statistik gnd |
| topic_facet | Probabilities. Mathematical statistics. Probability Probabilités. probability. MATHEMATICS Applied. MATHEMATICS Probability & Statistics General. Mathematical statistics Probabilities Wahrscheinlichkeitstheorie Statistik |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1289658 |
| work_keys_str_mv | AT zornigpeter probabilitytheoryandstatisticalapplicationsaprofoundtreatiseforselfstudy |