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2012359599 alternative "Stochastik. English".
2012359599 contributor B12532359.
2012359599 created "c2008.".
2012359599 date "2008".
2012359599 date "c2008.".
2012359599 dateCopyrighted "c2008.".
2012359599 description "11.1. Normal Approximation of Multinomial Distributions -- 11.2. The Chi-Square Test of Goodness of Fit -- 11.3. The Chi-Square Test of Independence -- 11.4. Order and Rank Tests -- 12. Regression Models and Analysis of Variance -- 12.1. Simple Linear Regression -- 12.2. The Linear Model -- 12.3. The Gaussian Linear Model -- 12.4. Analysis of Variance.".
2012359599 description "Includes bibliographical references (p. [355]-358) and index.".
2012359599 description "aMathematics and Chance -- I. Probability Theory -- 1. Principles of Modelling Chance -- 1.1. Probability Spaces -- 1.2. Properties and Construction of Probability Measures -- 1.3. Random Variables -- 2. Stochastic Standard Models -- 2.1. The Uniform Distributions -- 2.2. Urn Models with Replacement -- 2.3. Urn Models without Replacement -- 2.4. The Poisson Distribution -- 2.5. Waiting Time Distributions -- 2.6. The Normal Distributions -- 3. Conditional Probabilities and Independence -- 3.1. Conditional Probabilities -- 3.2. Multi-Stage Models -- 3.3. Independence -- 3.4. Existence of Independent Random Variables, Product Measures -- 3.5. The Poisson Process -- 3.6. Simulation Methods -- 3.7. Tail Events -- 4. Expectation and Variance -- 4.1. The Expectation -- 4.2. Waiting Time Paradox and Fair Price of an Option -- 4.3. Variance and Covariance -- 4.4. Generating Functions -- 5. The Law of Large Numbers and the Central Limit Theorem -- 5.1. The Law of Large Numbers -- 5.2. Normal Approximation of Binomial Distributions -- 5.3. The Central Limit Theorem -- 5.4. Normal versus Poisson Approximation -- 6. Markov Chains -- 6.1. The Markov Property -- 6.2.Absorption Probabilities -- 6.3. Asymptotic Stationarity -- 6.4. Recurrence -- II. Statistics -- 7. Estimation -- 7.1. The Approach of Statistics -- 7.2. Facing the Choice -- 7.3. The Maximum Likelihood Principle -- 7.4. Bias and Mean Squared Error -- 7.5. Best Estimators -- 7.6. Consistent Estimators -- 7.7. Bayes Estimators -- 8. Confidence Regions -- 8.1. Definition and Construction -- 8.2. Confidence Intervals in the Binomial Model -- 8.3. Order Intervals -- 9.Around the Normal Distributions -- 9.1. The Multivariate Normal Distributions -- 9.2. The X[superscript 2]-, F- and t-Distributions -- 10. Hypothesis Testing -- 10.1. Decision Problems -- 10.2. Neyman-Pearson Tests -- 10.3. Most Powerful One-Sided Tests -- 10.4. Parameter Tests in the Gaussian Product Model -- 11. Asymptotic Tests and Rank Tests".
2012359599 extent "ix, 370 p. :".
2012359599 identifier "3110191458 (pbk. : alk. paper)".
2012359599 identifier "9783110191455 (pbk. : alk. paper)".
2012359599 isPartOf "De Gruyter textbook".
2012359599 isPartOf "De Gruyter textbook.".
2012359599 issued "2008".
2012359599 issued "c2008.".
2012359599 language "eng ger".
2012359599 language "eng".
2012359599 publisher "Berlin ; New York : Walter De Gruyter,".
2012359599 subject "519.23 22".
2012359599 subject "Mathematical statistics Textbooks.".
2012359599 subject "Probabilités Manuels d'enseignement. ram".
2012359599 subject "Probabilities Textbooks.".
2012359599 subject "Processus stochastiques. ram".
2012359599 subject "QA273 .G45613 2008".
2012359599 subject "Statistique mathématique Manuels d'enseignement. ram".
2012359599 subject "Stochastic processes Textbooks.".
2012359599 tableOfContents "11.1. Normal Approximation of Multinomial Distributions -- 11.2. The Chi-Square Test of Goodness of Fit -- 11.3. The Chi-Square Test of Independence -- 11.4. Order and Rank Tests -- 12. Regression Models and Analysis of Variance -- 12.1. Simple Linear Regression -- 12.2. The Linear Model -- 12.3. The Gaussian Linear Model -- 12.4. Analysis of Variance.".
2012359599 tableOfContents "aMathematics and Chance -- I. Probability Theory -- 1. Principles of Modelling Chance -- 1.1. Probability Spaces -- 1.2. Properties and Construction of Probability Measures -- 1.3. Random Variables -- 2. Stochastic Standard Models -- 2.1. The Uniform Distributions -- 2.2. Urn Models with Replacement -- 2.3. Urn Models without Replacement -- 2.4. The Poisson Distribution -- 2.5. Waiting Time Distributions -- 2.6. The Normal Distributions -- 3. Conditional Probabilities and Independence -- 3.1. Conditional Probabilities -- 3.2. Multi-Stage Models -- 3.3. Independence -- 3.4. Existence of Independent Random Variables, Product Measures -- 3.5. The Poisson Process -- 3.6. Simulation Methods -- 3.7. Tail Events -- 4. Expectation and Variance -- 4.1. The Expectation -- 4.2. Waiting Time Paradox and Fair Price of an Option -- 4.3. Variance and Covariance -- 4.4. Generating Functions -- 5. The Law of Large Numbers and the Central Limit Theorem -- 5.1. The Law of Large Numbers -- 5.2. Normal Approximation of Binomial Distributions -- 5.3. The Central Limit Theorem -- 5.4. Normal versus Poisson Approximation -- 6. Markov Chains -- 6.1. The Markov Property -- 6.2.Absorption Probabilities -- 6.3. Asymptotic Stationarity -- 6.4. Recurrence -- II. Statistics -- 7. Estimation -- 7.1. The Approach of Statistics -- 7.2. Facing the Choice -- 7.3. The Maximum Likelihood Principle -- 7.4. Bias and Mean Squared Error -- 7.5. Best Estimators -- 7.6. Consistent Estimators -- 7.7. Bayes Estimators -- 8. Confidence Regions -- 8.1. Definition and Construction -- 8.2. Confidence Intervals in the Binomial Model -- 8.3. Order Intervals -- 9.Around the Normal Distributions -- 9.1. The Multivariate Normal Distributions -- 9.2. The X[superscript 2]-, F- and t-Distributions -- 10. Hypothesis Testing -- 10.1. Decision Problems -- 10.2. Neyman-Pearson Tests -- 10.3. Most Powerful One-Sided Tests -- 10.4. Parameter Tests in the Gaussian Product Model -- 11. Asymptotic Tests and Rank Tests".
2012359599 title "Stochastics : introduction to probability and statistics / Hans-Otto Georgii ; translated by Marcel Ortgiese, Ellen Baake and the author.".
2012359599 title "Stochastik. English".
2012359599 type "text".