Mathematical Statistics

GPTKB entity

Statements (100)
Predicate Object
gptkbp:instanceOf gptkb:academic
branch of statistics
gptkbp:appliesTo data analysis
scientific research
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:simulation
gptkb:Cramér–Rao_bound
gptkb:Kolmogorov–Smirnov_test
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:Slutsky's_theorem
gptkb:Akaike_information_criterion
completeness
decision theory
method of moments
variance
consistency
Bayesian inference
random variable
sufficient statistic
cross-validation
linear regression
loss function
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
estimator
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
empirical Bayes method
identifiability
information matrix
jackknife resampling
minimax estimation
nonparametric models
profile likelihood
quantile
risk function
gptkbp:hasSubfield Bayesian statistics
nonparametric statistics
multivariate statistics
asymptotic theory
https://www.w3.org/2000/01/rdf-schema#label Mathematical Statistics
gptkbp:relatedTo gptkb:mathematics
gptkb:probability_theory
applied statistics
gptkbp:studies gptkb:analysis_of_variance
gptkb:estimation_theory
gptkb:sampling_theory
statistical analysis
hypothesis testing
statistical inference
gptkbp:taughtAt universities
gptkbp:uses gptkb:probability_theory
gptkbp:bfsParent gptkb:John_H._Freund
gptkb:Freund,_John_E.
gptkb:Duda_&_Sahi
gptkbp:bfsLayer 7