Fundamentals of Mathematical Statistics
1584 Kč 2 042 Kč
IV: Sampling and distributions.- Overview.- Lesson 1 Sampling and statistics.- 2 Transformations of real random variables.- 3 Transformations of random vectors.- 4 Sampling distributions in normal populations-I.- 5 Sampling distributions in normal populations-II.- 6 Order statistics.- 7 Sufficient statistics-I.- 8 Sufficient statistics-II.- 9 Complete statistics.- 10 Exponential families-I.- 11 Exponential families-II.- V: Statistical estimation.- Overview.- Lesson 1 Point estimation of parameters.- 2 Conditional expectation.- 3 Uniformly minimum variance unbiased estimators.- 4 Efficient estimators.- 5 Unbiased estimation: the vector case.- 6 Two methods of point estimation.- 7 Maximum likelihood estimation.- 8 Confidence interval estimation-I.- 9 Confidence interval estimation-II.- 10 Consistent estimators.- 11 Consistency of maximum likelihood estimators.- 12 Asymptotic normality.- 13 Asymptotic normality of maximum likelihood estimators.- 14 Asymptotic efficiency and large sample confidence intervals.- VI: Testing hypotheses.- Overview.- Lesson 1 Neyman-Pearson theory-I.- 2 Neyman-Pearson theory-II.- 3 Testing with monotone likelihood ratios.- 4 Testing when the support contains parameters.- 5 Unbiased tests.- 6 Quadratic forms in normal random variables.- 7 Likelihood ratio tests-I.- 8 One-way analysis of variance.- 9 Likelihood ratio tests-II.- 10 LRT-asymptotic distributions.- 11 Summary of tests for normal populations.- 12 Tests for two-by-two tables.- VII: Special topics.- Overview.- Lesson 1 Minimax and Bayes estimators-I.- 2 Minimax and Bayes estimators-II.- 3 Equivariant estimators.- 4 Simple linear regression-I.- 5 Simple linear regression-II.- 6 Sufficient statistics and uniformly most powerful tests.- 7 Sequential probability ratio tests.- 8 A test by Mann, Whitney, Wilcoxon.- 9 Tests for paired comparisons.- 10 Tests of Kolmogorov, Smirnov type.- 11 Categorical data.- Tables.- References.
Autor: | Nguyen-Schäfer, Hung |
Nakladatel: | Springer, Berlin |
ISBN: | 9781461389163 |
Rok vydání: | 2011 |
Jazyk : | Angličtina |
Vazba: | brožovaná/paperback |
Počet stran: | 422 |
-
Leading Pharmaceutical Operational Ex...
Friedli, Thomas
-
Quantensinn und Quantenunsinn
Bricmont, Jean
-
Achtung: Statistik
Christensen, Björn
-
Psychotherapie bei Psychosen
Hartwich, Peter
-
Humangeographie kompakt
Freytag, Tim
-
Führungskompetenz ist lernbar
Tewes, Renate
-
Sexueller Missbrauch von Kindern und ...
Fegert, Jörg M.
-
Hormone und Hormonsystem
Kleine, Bernhard
-
Natur für die Seele
Guéguen, Nicolas
-
Statistik für alle
Krämer, Walter
-
Molekularbiologie, Genomics
Mülhardt, Cornel
-
Statistik und quantitative Methoden f...
Schäfer, Axel
-
Meer - Wind - Strom
Durstewitz, Michael
-
Notfallsonographie
Michels, Guido
-
Allergologie
Biedermann, Tilo
-
Heimhilfe
Jedelsky, Elisabeth