INDEX

 

 

 

A

     Adjusted R²
     Aitken's estimator
     Akaike's Information Criterion
     Almost sure convergence
     Alternative hypothesis
     Ancillary statistic
     Anderson-Darling test
     ANOVA
     Ascending hierarchy
     Associations
     Asymptotic confidence interval
     Average

 

B

     Backward selection
     Bartlett's test (Hom. of variances)
     Barycenter
     Basu' Theorem
     Bayes theorem
     Bayesian Decision
     Bayesian Information Criterion
     Beta distribution
     Bias of an estimator
     Bias of a model
     Bias-variance tradeoff
     BIC
     Binary (Variable)
     Binomial distribution
     Binomial (negative)
     Binormal distribution
     Binomial theorem
     Blackwellization
     BLUE
     Bootstrap
     Borel's theorem
     Box-Muller transform
     Buffon's needle

 

C

      Cauchy (distribution)
      Cauchy-Schwarz inequality
      Categorical variable
      Central Limit Theorem
      Change of variable
      Chebyshev inequality
      Chi-square distribution
      Chi-square test
      Chi-square and quadratic forms
      Cholesky factorization
      Classification
      Cluster analysis
      Cochran's Theorem
      Coefficient of determination
      Collinearity
      Combination of estimators
      Complete statistic
      Composite hypothesis
      Conditional expectation
      Conditional variance
      Confidence interval
      Confidence level
      Consistent estimator
      Contingency table
      Convergence (Almost sure)
      Convolution
      Cook's distance
      Correlation coefficient
      Correlation matrix
      Correlation (Multiple)
      Correlation (Partial)
      Correspondence Analysis
      Cost (of misclassification)
      Covariance
      Covariance matrix
      Cp (Mallows')
      Craig's Theorem
      Cramér-Rao lower bound
      Cramér-von Mises test
      Criterion (Fisher's)
      Cross validation
      Cumulative distribution function
      Curse of dimensionality

 

D

     Data
     Data Modeling
     Decision Trees
     De Moivre theorem
     Dendogram
     Density
     Descriptive modeling
     Determination (Coefficient of)
     DFFITS
     Dimensionality
     Dimensionality reduction
     Dimensionality (Curse of)
     Discriminant analysis
     Discriminant function
     Distribution function
     Dunnett test
     Dyadic expansion

 

E

      Eckart-Young theorem
      Effective (nb. of parameters)
      Efficient estimator
      Elementary transformations
      Empirical distribution function
      Erlang's distribution
      Estimation
      Estimators (Combination of)
      Expectation
      Expectation (Conditional)
      Expectation (Iterated)
      Expectation of a quadratic form
      Exponential distribution
      Exponential family
      Extreme (point)

 

F

      Factorial moment
      Factorization theorem
      Failure rate function
      Familywise error rate
      Finite population
      Fisher's criterion
      Fisher's exact test
      Fisher's F distribution
      Fisher's information
      Fisher-Irwin test
      Fisher's linear discriminant
      Fisher's theorem
      Forward selection
      Friedman (test)
      Fundamental Theorem
        of Statistics

G

     Gamma distribution
     Gauss-Markov theorem
     Generalization
     Generalized Least Squares (GLS)
     Generating function
     Geometric distribution
     Goodness-of-fit tests

 

H

     Hazard rate function
     
Heteroskedasticity
     
Hierarchical clustering
     Histogram
      Hodges-Lehmann estimator
      Homoskedasticity
      Hotelling's T ²
     Hypergeometric distribution

 

I-J

      Identity decomposition of a matrix
      Independent linear forms
      Independent quadratic forms
      Independent samples
      Independent random variables
      Indicators
      Inertia
      Information (Fisher's)
      Intercept
      Interpretability
      Interval estimation
      Iterated expectation
      Jacobian determinant
      Jensen's inequality

 

K

     K-means
     K-Nearest Neighbors
     Kohonen maps
     Kolmogorov-Smirnov test
     Kruskal-Wallis test
     Kullback-Leibler distance

 

L

     Law of Large Numbers (Weak)
     Law of Large Numbers (Strong)
     Least Squares (Generalized)
     Least Squares Line
     Least squares estimation
     Least Squares (Weighted)
     "Leave One Out"
     Lehmann-Scheffé theorem
     Leverage
     Likelihood
     Likelihood (Method of Maximum)
     Likelihood (Penalized)
     Likelihood ratio
     Likelihood Ratio Test (LRT)
     Linear (model)
     Linear Regression (Simple)
     Location family
     Logistic Regression
     Log-likelihood
     Lorentzian distribtution
     LOTUS

 

M

     Mahalanobis distance
      Mahalanobis transformation
      Mallows' Cp
      Mann-Whitney test
      Marginal distribution
      Markov inequality
      Marsaglia method of simulation
      Matched samples
      Maximum likelihood estimation
     McNemar test
     Mean (of a distribution)
      Mean Square Error
     Memoryless property (Weak)
      Memoryless property (Strong)
      Metrics
      Miner's problem
      Minimal sufficient statistic
      Modeling (Data)
      MLP
      (M)MSE
      Moment generating function
      Moments (Estimation by the         Method of)
      Monte-Carlo simulation
      Multilayer Perceptron
      Multinomial distribution
      Multiple comparisons
      Multiple correlation
      
Multiple Linear Regression
      Multivariate normal distribution

 

N

     Natural exponential family
     Negative binomial distribution
     Nested models
     Neural networks
     Newman-Keuls test
     Neyman-Pearson lemma
     Nominal variable
     Non parametric model
     Non parametric test
     Normal distribution (Univariate)
    Normal distribution (Bivariate)
     
Normal distribution (Multivariate)
     
Normal form of a matrix
     Normal probability plot
     Numerical variable

 

O

     Order statistics
     Ordinal variable
     Ordinary Least Squares (OLS)
     Outlier
     Overfitting

P

      Parallel (Devices in)
      Parameters (of a model)
      Parameter estimation
      Parametric model
      Parametric test
      Partial correlation
      PCA
      Pearson's theorem
      Penalized likelihood
      Piecewise linear regression
      Pivot
      PLS regression
      Poisson distribution
      Poisson process
      Point estimation
      Polynomial regression
      Positive definite matrix
      Posterior probabilities
      "Post hoc" tests
      Power (of a test)
      Power series distribution
      Predictive modeling
      PRESS
      Prior probabilities
      Principal Component Analysis
      Probability density function
      Probability integral transformation
      Product of r.v. (Expectation of)
      Projection matrix
      p-value

 

Q

     QIQ transformation
     Quadratic forms
          - Distribution
          - Independence
     Quantile
     Q-Q plot

 

R

      
      R² (Adjusted)
      Random sum of r.v.
      Random parameter
      Random vector
      Rank (of an observation)
      "Rankit"plot
      Rank correlation
      Rao-Blackwell theorem
      Ratio of r.v.
      RBF networks
      Record value
      Regression
      Regularization
      Relative efficiency (ot two         estimators)
      Replacement (Without)
      Residual
      Ridge regression
      Robustness

 

S

    Sample
     Scale family
     Segmentation
     Segmentation Trees
     Selecting variables
     Separability (of classes)
     Series (Devices in)
     Shrinkage
     Significance level
     Simple hypothesis
     Simple Linear Regression
     Simulation (Monte-Carlo)
     Simulation
          - normal distribution
          - Poisson distribution
     Singular Value Decomposition
     Slope
     Slutsky's theorem
     Snedecor
     SOM
     Spectral decomposition
     Spherization of a random vector
     Splitting a Poisson process
     Splitting a Poisson r.v.
     Square root of a p.d. matrix
     Standard Deviation
     Standard Error
     Standardization
     Stepwise selection
     Stirling's formula
     Strong Law of Large Numbers
     Strong memoryless property
     Student's t distribution
    Studentized residual
    
Sufficient statistic
     Sum of r.v.
     Superposition of Poisson processes
     SVD
     Symmetric matrices (Properties of)

T

     t distribution
     t test
     T ² (Hotelling's)
     Test
     Training (supervised)
     Training (unsupervised)
     Transformation (of variables)
    Transformation (Probability        Integral)
     Typology

 

U

    Unconscious statistician
    Uniform distribution
    Uniformly Minimum Variance
           Unbiased Estimator (UMVUE)

 

V-Z

    Validation
    Variable selection
   Variable transformation
    Variance
    Variance (Conditional)
    Variance (Analysis of)
    Variance function
    Voronoi tessalation
    Wallis formula
    Wallis integral
    Ward distance
    Weak Law of Large Numbers
    Weighted Least Squares
    Welch's approximation
    Wilcoxon-Mann-Whitney test
    Wilk's G 2
    Without replacement (Sampling)

 

 

 

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