Statements (99)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:academic
gptkb:branch_of_statistics |
| gptkbp:appliesTo |
gptkb:scientific_research
data analysis |
| gptkbp:focusesOn |
theoretical foundations of statistics
|
| gptkbp:hasConcept |
gptkb:Chebyshev's_inequality
gptkb:Fisher's_exact_test gptkb:Fisher_information gptkb:Monte_Carlo_method gptkb:chi-squared_test gptkb:exponential_family gptkb:organization gptkb:loss_function gptkb:simulation gptkb:Cramér–Rao_bound gptkb:Kolmogorov–Smirnov_test gptkb:random_variable gptkb:central_limit_theorem gptkb:law_of_large_numbers gptkb:Jensen's_inequality gptkb:Lehmann–Scheffé_theorem gptkb:Rao–Blackwell_theorem gptkb:permutation_test gptkb:Bonferroni_correction gptkb:Neyman–Pearson_lemma gptkb:t-test gptkb:Markov_chain_Monte_Carlo gptkb:Wilcoxon_test gptkb:empirical_Bayes_method gptkb:Slutsky's_theorem gptkb:Akaike_information_criterion gptkb:estimator completeness decision theory method of moments variance consistency Bayesian inference sufficient statistic cross-validation linear regression maximum likelihood estimation model selection score function ANOVA confidence interval outlier detection p-value robust statistics efficiency frequentist inference multivariate analysis characteristic function likelihood ratio test bias asymptotic normality bootstrap methods order statistics resampling methods test statistic moment generating function false discovery rate sufficiency likelihood function multiple testing correction shrinkage estimation parametric models empirical distribution function Bayesian information criterion Delta method Markov inequality ancillary statistic identifiability information matrix jackknife resampling minimax estimation nonparametric models profile likelihood quantile risk function |
| gptkbp:hasSubfield |
Bayesian statistics
nonparametric statistics multivariate statistics asymptotic theory |
| gptkbp:relatedTo |
gptkb:mathematics
gptkb:probability_theory applied statistics |
| gptkbp:studies |
gptkb:analysis_of_variance
gptkb:estimation_theory gptkb:sampling_theory gptkb:statistical_analysis hypothesis testing statistical inference |
| gptkbp:taughtAt |
universities
|
| gptkbp:uses |
gptkb:probability_theory
|
| gptkbp:bfsParent |
gptkb:John_H._Freund
gptkb:Freund,_John_E. |
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mathematical Statistics
|