|
| 1 | +--- |
| 2 | +layout: page |
| 3 | +title: "Definition by Number" |
| 4 | +--- |
| 5 | + |
| 6 | + |
| 7 | +| ID | Shortcut | Theorem | Author | Date | |
| 8 | +|:-- |:-------- |:------- |:------ |:---- | |
| 9 | +| D0 | -temp- | [Definition Template](/D/-temp-) | StatProofBook | 2020-01-22 | |
| 10 | +| D1 | mvn | [Multivariate normal distribution](/D/mvn) | JoramSoch | 2020-01-22 | |
| 11 | +| D2 | mgf | [Moment-generating function](/D/mgf) | JoramSoch | 2020-01-22 | |
| 12 | +| D3 | cuni | [Continuous uniform distribution](/D/cuni) | JoramSoch | 2020-01-27 | |
| 13 | +| D4 | norm | [Normal distribution](/D/norm) | JoramSoch | 2020-01-27 | |
| 14 | +| D5 | ng | [Normal-gamma distribution](/D/ng) | JoramSoch | 2020-01-27 | |
| 15 | +| D6 | matn | [Matrix-normal distribution](/D/matn) | JoramSoch | 2020-01-27 | |
| 16 | +| D7 | gam | [Gamma distribution](/D/gam) | JoramSoch | 2020-02-08 | |
| 17 | +| D8 | exp | [Exponential distribution](/D/exp) | JoramSoch | 2020-02-08 | |
| 18 | +| D9 | pmf | [Probability mass function](/D/pmf) | JoramSoch | 2020-02-13 | |
| 19 | +| D10 | pdf | [Probability density function](/D/pdf) | JoramSoch | 2020-02-13 | |
| 20 | +| D11 | mean | [Expected value](/D/mean) | JoramSoch | 2020-02-13 | |
| 21 | +| D12 | var | [Variance](/D/var) | JoramSoch | 2020-02-13 | |
| 22 | +| D13 | cdf | [Cumulative distribution function](/D/cdf) | JoramSoch | 2020-02-17 | |
| 23 | +| D14 | qf | [Quantile function](/D/qf) | JoramSoch | 2020-02-17 | |
| 24 | +| D15 | ent | [Shannon entropy](/D/ent) | JoramSoch | 2020-02-19 | |
| 25 | +| D16 | dent | [Differential entropy](/D/dent) | JoramSoch | 2020-02-19 | |
| 26 | +| D17 | ent-cond | [Conditional entropy](/D/ent-cond) | JoramSoch | 2020-02-19 | |
| 27 | +| D18 | ent-joint | [Joint entropy](/D/ent-joint) | JoramSoch | 2020-02-19 | |
| 28 | +| D19 | mi | [Mutual information](/D/mi) | JoramSoch | 2020-02-19 | |
| 29 | +| D20 | resvar | [Residual variance](/D/resvar) | JoramSoch | 2020-02-25 | |
| 30 | +| D21 | rsq | [Coefficient of determination](/D/rsq) | JoramSoch | 2020-02-25 | |
| 31 | +| D22 | snr | [Signal-to-noise ratio](/D/snr) | JoramSoch | 2020-02-25 | |
| 32 | +| D23 | aic | [Akaike information criterion](/D/aic) | JoramSoch | 2020-02-25 | |
| 33 | +| D24 | bic | [Bayesian information criterion](/D/bic) | JoramSoch | 2020-02-25 | |
| 34 | +| D25 | dic | [Deviance information criterion](/D/dic) | JoramSoch | 2020-02-25 | |
| 35 | +| D26 | lme | [Log model evidence](/D/lme) | JoramSoch | 2020-02-25 | |
| 36 | +| D27 | gm | [Generative model](/D/gm) | JoramSoch | 2020-03-03 | |
| 37 | +| D28 | lf | [Likelihood function](/D/lf) | JoramSoch | 2020-03-03 | |
| 38 | +| D29 | prior | [Prior distribution](/D/prior) | JoramSoch | 2020-03-03 | |
| 39 | +| D30 | fpm | [Full probability model](/D/fpm) | JoramSoch | 2020-03-03 | |
| 40 | +| D31 | jl | [Joint likelihood](/D/jl) | JoramSoch | 2020-03-03 | |
| 41 | +| D32 | post | [Posterior distribution](/D/post) | JoramSoch | 2020-03-03 | |
| 42 | +| D33 | ml | [Marginal likelihood](/D/ml) | JoramSoch | 2020-03-03 | |
| 43 | +| D34 | dent-cond | [Conditional differential entropy](/D/dent-cond) | JoramSoch | 2020-03-21 | |
| 44 | +| D35 | dent-joint | [Joint differential entropy](/D/dent-joint) | JoramSoch | 2020-03-21 | |
| 45 | +| D36 | mlr | [Multiple linear regression](/D/mlr) | JoramSoch | 2020-03-21 | |
| 46 | +| D37 | tss | [Total sum of squares](/D/tss) | JoramSoch | 2020-03-21 | |
| 47 | +| D38 | ess | [Explained sum of squares](/D/ess) | JoramSoch | 2020-03-21 | |
| 48 | +| D39 | rss | [Residual sum of squares](/D/rss) | JoramSoch | 2020-03-21 | |
| 49 | +| D40 | glm | [General linear model](/D/glm) | JoramSoch | 2020-03-21 | |
| 50 | +| D41 | poiss-data | [Poisson-distributed data](/D/poiss-data) | JoramSoch | 2020-03-22 | |
| 51 | +| D42 | poissexp | [Poisson distribution with exposure values](/D/poissexp) | JoramSoch | 2020-03-22 | |
| 52 | +| D43 | wish | [Wishart distribution](/D/wish) | JoramSoch | 2020-03-22 | |
| 53 | +| D44 | bern | [Bernoulli distribution](/D/bern) | JoramSoch | 2020-03-22 | |
| 54 | +| D45 | bin | [Binomial distribution](/D/bin) | JoramSoch | 2020-03-22 | |
| 55 | +| D46 | cat | [Categorical distribution](/D/cat) | JoramSoch | 2020-03-22 | |
| 56 | +| D47 | mult | [Multinomial distribution](/D/mult) | JoramSoch | 2020-03-22 | |
| 57 | +| D48 | prob | [Probability](/D/prob) | JoramSoch | 2020-05-10 | |
| 58 | +| D49 | prob-joint | [Joint probability](/D/prob-joint) | JoramSoch | 2020-05-10 | |
| 59 | +| D50 | prob-marg | [Law of marginal probability](/D/prob-marg) | JoramSoch | 2020-05-10 | |
| 60 | +| D51 | prob-cond | [Law of conditional probability](/D/prob-cond) | JoramSoch | 2020-05-10 | |
| 61 | +| D52 | kl | [Kullback-Leibler divergence](/D/kl) | JoramSoch | 2020-05-10 | |
| 62 | +| D53 | beta | [Beta distribution](/D/beta) | JoramSoch | 2020-05-10 | |
| 63 | +| D54 | dir | [Dirichlet distribution](/D/dir) | JoramSoch | 2020-05-10 | |
| 64 | +| D55 | dist | [Probability distribution](/D/dist) | JoramSoch | 2020-05-17 | |
| 65 | +| D56 | dist-joint | [Joint probability distribution](/D/dist-joint) | JoramSoch | 2020-05-17 | |
| 66 | +| D57 | dist-marg | [Marginal probability distribution](/D/dist-marg) | JoramSoch | 2020-05-17 | |
| 67 | +| D58 | dist-cond | [Conditional probability distribution](/D/dist-cond) | JoramSoch | 2020-05-17 | |
| 68 | +| D59 | llf | [Log-likelihood function](/D/llf) | JoramSoch | 2020-05-17 | |
| 69 | +| D60 | mle | [Maximum likelihood estimation](/D/mle) | JoramSoch | 2020-05-15 | |
| 70 | +| D61 | mll | [Maximum log-likelihood](/D/mll) | JoramSoch | 2020-05-15 | |
| 71 | +| D62 | poiss | [Poisson distribution](/D/poiss) | JoramSoch | 2020-05-25 | |
| 72 | +| D63 | snorm | [Standard normal distribution](/D/snorm) | JoramSoch | 2020-05-26 | |
| 73 | +| D64 | sgam | [Standard gamma distribution](/D/sgam) | JoramSoch | 2020-05-26 | |
| 74 | +| D65 | rvar | [Random variable](/D/rvar) | JoramSoch | 2020-05-27 | |
| 75 | +| D66 | rvec | [Random vector](/D/rvec) | JoramSoch | 2020-05-27 | |
| 76 | +| D67 | rmat | [Random matrix](/D/rmat) | JoramSoch | 2020-05-27 | |
| 77 | +| D68 | cgf | [Cumulant-generating function](/D/cgf) | JoramSoch | 2020-05-31 | |
| 78 | +| D69 | pgf | [Probability-generating function](/D/pgf) | JoramSoch | 2020-05-31 | |
| 79 | +| D70 | cov | [Covariance](/D/cov) | JoramSoch | 2020-06-02 | |
| 80 | +| D71 | corr | [Correlation](/D/corr) | JoramSoch | 2020-06-02 | |
| 81 | +| D72 | covmat | [Covariance matrix](/D/covmat) | JoramSoch | 2020-06-06 | |
| 82 | +| D73 | corrmat | [Correlation matrix](/D/corrmat) | JoramSoch | 2020-06-06 | |
| 83 | +| D74 | precmat | [Precision matrix](/D/precmat) | JoramSoch | 2020-06-06 | |
| 84 | +| D75 | ind | [Statistical independence](/D/ind) | JoramSoch | 2020-06-06 | |
| 85 | +| D76 | logreg | [Logistic regression](/D/logreg) | JoramSoch | 2020-06-28 | |
| 86 | +| D77 | beta-data | [Beta-distributed data](/D/beta-data) | JoramSoch | 2020-06-28 | |
| 87 | +| D78 | bin-data | [Binomial observations](/D/bin-data) | JoramSoch | 2020-07-07 | |
| 88 | +| D79 | mult-data | [Multinomial observations](/D/mult-data) | JoramSoch | 2020-07-07 | |
| 89 | +| D80 | lfe | [Log family evidence](/D/lfe) | JoramSoch | 2020-07-13 | |
| 90 | +| D81 | emat | [Estimation matrix](/D/emat) | JoramSoch | 2020-07-22 | |
| 91 | +| D82 | pmat | [Projection matrix](/D/pmat) | JoramSoch | 2020-07-22 | |
| 92 | +| D83 | rfmat | [Residual-forming matrix](/D/rfmat) | JoramSoch | 2020-07-22 | |
| 93 | +| D84 | lbf | [Log Bayes factor](/D/lbf) | JoramSoch | 2020-07-22 | |
| 94 | +| D85 | ent-cross | [Cross-entropy](/D/ent-cross) | JoramSoch | 2020-07-28 | |
| 95 | +| D86 | dent-cross | [Differential cross-entropy](/D/dent-cross) | JoramSoch | 2020-07-28 | |
| 96 | +| D87 | pmp | [Posterior model probability](/D/pmp) | JoramSoch | 2020-07-28 | |
| 97 | +| D88 | duni | [Discrete uniform distribution](/D/duni) | JoramSoch | 2020-07-28 | |
| 98 | +| D89 | bma | [Bayesian model averaging](/D/bma) | JoramSoch | 2020-08-03 | |
| 99 | +| D90 | mom | [Moment](/D/mom) | JoramSoch | 2020-08-19 | |
| 100 | +| D91 | fwhm | [Full width at half maximum](/D/fwhm) | JoramSoch | 2020-08-19 | |
| 101 | +| D92 | bf | [Bayes factor](/D/bf) | tomfaulkenberry | 2020-08-26 | |
| 102 | +| D93 | encm | [Encompassing model](/D/encm) | tomfaulkenberry | 2020-09-02 | |
| 103 | +| D94 | std | [Standard deviation](/D/std) | JoramSoch | 2020-09-03 | |
| 104 | +| D95 | wald | [Wald distribution](/D/wald) | tomfaulkenberry | 2020-09-04 | |
| 105 | +| D96 | const | [Constant](/D/const) | JoramSoch | 2020-09-09 | |
| 106 | +| D97 | mom-raw | [Raw moment](/D/mom-raw) | JoramSoch | 2020-10-08 | |
| 107 | +| D98 | mom-cent | [Central moment](/D/mom-cent) | JoramSoch | 2020-10-08 | |
| 108 | +| D99 | mom-stand | [Standardized moment](/D/mom-stand) | JoramSoch | 2020-10-08 | |
| 109 | +| D100 | chi2 | [Chi-squared distribution](/D/chi2) | kjpetrykowski | 2020-10-13 | |
| 110 | +| D101 | med | [Median](/D/med) | JoramSoch | 2020-10-15 | |
| 111 | +| D102 | mode | [Mode](/D/mode) | JoramSoch | 2020-10-15 | |
| 112 | +| D103 | prob-exc | [Exceedance probability](/D/prob-exc) | JoramSoch | 2020-10-22 | |
| 113 | +| D104 | dir-data | [Dirichlet-distributed data](/D/dir-data) | JoramSoch | 2020-10-22 | |
| 114 | +| D105 | rvar-disc | [Discrete and continuous random variable](/D/rvar-disc) | JoramSoch | 2020-10-29 | |
| 115 | +| D106 | rvar-uni | [Univariate and multivariate random variable](/D/rvar-uni) | JoramSoch | 2020-11-06 | |
| 116 | +| D107 | min | [Minimum](/D/min) | JoramSoch | 2020-11-12 | |
| 117 | +| D108 | max | [Maximum](/D/max) | JoramSoch | 2020-11-12 | |
| 118 | +| D109 | rexp | [Random experiment](/D/rexp) | JoramSoch | 2020-11-19 | |
| 119 | +| D110 | reve | [Random event](/D/reve) | JoramSoch | 2020-11-19 | |
| 120 | +| D111 | cvlme | [Cross-validated log model evidence](/D/cvlme) | JoramSoch | 2020-11-19 | |
| 121 | +| D112 | ind-cond | [Conditional independence](/D/ind-cond) | JoramSoch | 2020-11-19 | |
| 122 | +| D113 | uplme | [Uniform-prior log model evidence](/D/uplme) | JoramSoch | 2020-11-25 | |
| 123 | +| D114 | eblme | [Empirical Bayesian log model evidence](/D/eblme) | JoramSoch | 2020-11-25 | |
| 124 | +| D115 | vblme | [Variational Bayesian log model evidence](/D/vblme) | JoramSoch | 2020-11-25 | |
| 125 | +| D116 | prior-flat | [Flat, hard and soft prior distribution](/D/prior-flat) | JoramSoch | 2020-12-02 | |
| 126 | +| D117 | prior-uni | [Uniform and non-uniform prior distribution](/D/prior-uni) | JoramSoch | 2020-12-02 | |
| 127 | +| D118 | prior-inf | [Informative and non-informative prior distribution](/D/prior-inf) | JoramSoch | 2020-12-02 | |
| 128 | +| D119 | prior-emp | [Empirical and theoretical prior distribution](/D/prior-emp) | JoramSoch | 2020-12-02 | |
| 129 | +| D120 | prior-conj | [Conjugate and non-conjugate prior distribution](/D/prior-conj) | JoramSoch | 2020-12-02 | |
| 130 | +| D121 | prior-maxent | [Maximum entropy prior distribution](/D/prior-maxent) | JoramSoch | 2020-12-02 | |
| 131 | +| D122 | prior-eb | [Empirical Bayes prior distribution](/D/prior-eb) | JoramSoch | 2020-12-02 | |
| 132 | +| D123 | prior-ref | [Reference prior distribution](/D/prior-ref) | JoramSoch | 2020-12-02 | |
| 133 | +| D124 | ug | [Univariate Gaussian](/D/ug) | JoramSoch | 2021-03-03 | |
| 134 | +| D125 | h0 | [Null hypothesis](/D/h0) | JoramSoch | 2021-03-12 | |
| 135 | +| D126 | h1 | [Alternative hypothesis](/D/h1) | JoramSoch | 2021-03-12 | |
| 136 | +| D127 | hyp | [Statistical hypothesis](/D/hyp) | JoramSoch | 2021-03-19 | |
| 137 | +| D128 | hyp-simp | [Simple and composite hypothesis](/D/hyp-simp) | JoramSoch | 2021-03-19 | |
| 138 | +| D129 | hyp-point | [Point and set hypothesis](/D/hyp-point) | JoramSoch | 2021-03-19 | |
| 139 | +| D130 | test | [Statistical hypothesis test](/D/test) | JoramSoch | 2021-03-19 | |
| 140 | +| D131 | tstat | [Test statistic](/D/tstat) | JoramSoch | 2021-03-19 | |
| 141 | +| D132 | size | [Size of a statistical test](/D/size) | JoramSoch | 2021-03-19 | |
| 142 | +| D133 | alpha | [Significance level](/D/alpha) | JoramSoch | 2021-03-19 | |
| 143 | +| D134 | cval | [Critical value](/D/cval) | JoramSoch | 2021-03-19 | |
| 144 | +| D135 | pval | [p-value](/D/pval) | JoramSoch | 2021-03-19 | |
| 145 | +| D136 | ugkv | [Univariate Gaussian with known variance](/D/ugkv) | JoramSoch | 2021-03-23 | |
| 146 | +| D137 | power | [Power of a statistical test](/D/power) | JoramSoch | 2021-03-31 | |
| 147 | +| D138 | hyp-tail | [One-tailed and two-tailed hypothesis](/D/hyp-tail) | JoramSoch | 2021-03-31 | |
| 148 | +| D139 | test-tail | [One-tailed and two-tailed test](/D/test-tail) | JoramSoch | 2021-03-31 | |
| 149 | +| D140 | dist-samp | [Sampling distribution](/D/dist-samp) | JoramSoch | 2021-03-31 | |
| 150 | +| D141 | cdf-joint | [Joint cumulative distribution function](/D/cdf-joint) | JoramSoch | 2020-04-07 | |
| 151 | +| D142 | mean-samp | [Sample mean](/D/mean-samp) | JoramSoch | 2021-04-16 | |
| 152 | +| D143 | var-samp | [Sample variance](/D/var-samp) | JoramSoch | 2021-04-16 | |
| 153 | +| D144 | cov-samp | [Sample covariance](/D/cov-samp) | ciaranmci | 2021-04-21 | |
| 154 | +| D145 | prec | [Precision](/D/prec) | JoramSoch | 2020-04-21 | |
| 155 | +| D146 | f | [F-distribution](/D/f) | JoramSoch | 2020-04-21 | |
| 156 | +| D147 | t | [t-distribution](/D/t) | JoramSoch | 2021-04-21 | |
| 157 | +| D148 | mvt | [Multivariate t-distribution](/D/mvt) | JoramSoch | 2020-04-21 | |
| 158 | +| D149 | eb | [Empirical Bayes](/D/eb) | JoramSoch | 2021-04-29 | |
| 159 | +| D150 | vb | [Variational Bayes](/D/vb) | JoramSoch | 2021-04-29 | |
| 160 | +| D151 | mome | [Method-of-moments estimation](/D/mome) | JoramSoch | 2021-04-29 | |
| 161 | +| D152 | nst | [Non-standardized t-distribution](/D/nst) | JoramSoch | 2021-05-20 | |
| 162 | +| D153 | covmat-samp | [Sample covariance matrix](/D/covmat-samp) | JoramSoch | 2021-05-20 | |
| 163 | +| D154 | mean-rvec | [Expected value of a random vector](/D/mean-rvec) | JoramSoch | 2021-07-08 | |
| 164 | +| D155 | mean-rmat | [Expected value of a random matrix](/D/mean-rmat) | JoramSoch | 2021-07-08 | |
| 165 | +| D156 | exc | [Mutual exclusivity](/D/exc) | JoramSoch | 2021-07-23 | |
| 166 | +| D157 | suni | [Standard uniform distribution](/D/suni) | JoramSoch | 2021-07-23 | |
| 167 | +| D158 | prob-ax | [Kolmogorov axioms of probability](/D/prob-ax) | JoramSoch | 2021-07-30 | |
| 168 | +| D159 | cf | [Characteristic function](/D/cf) | JoramSoch | 2021-09-22 | |
| 169 | +| D160 | tglm | [Transformed general linear model](/D/tglm) | JoramSoch | 2021-10-21 | |
| 170 | +| D161 | iglm | [Inverse general linear model](/D/iglm) | JoramSoch | 2021-10-21 | |
| 171 | +| D162 | cfm | [Corresponding forward model](/D/cfm) | JoramSoch | 2021-10-21 | |
| 172 | +| D163 | slr | [Simple linear regression](/D/slr) | JoramSoch | 2021-10-27 | |
| 173 | +| D164 | regline | [Regression line](/D/regline) | JoramSoch | 2021-10-27 | |
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