P0 |
-temp- |
Proof Template |
StatProofBook |
2019-09-27 |

P1 |
mvn-ltt |
Linear transformation theorem for the multivariate normal distribution |
JoramSoch |
2019-08-27 |

P2 |
mlr-ols |
Ordinary least squares for multiple linear regression |
JoramSoch |
2019-09-27 |

P3 |
lme-anc |
Partition of the log model evidence into accuracy and complexity |
JoramSoch |
2019-09-27 |

P4 |
bayes-th |
Bayes’ theorem |
JoramSoch |
2019-09-27 |

P5 |
mse-bnv |
Partition of the mean squared error into bias and variance |
JoramSoch |
2019-11-27 |

P6 |
ng-kl |
Kullback-Leibler divergence for the normal-gamma distribution |
JoramSoch |
2019-12-06 |

P7 |
glm-mle |
Maximum likelihood estimation for the general linear model |
JoramSoch |
2019-12-06 |

P8 |
rsq-der |
Derivation of R² and adjusted R² |
JoramSoch |
2019-12-06 |

P9 |
blr-prior |
Conjugate prior distribution for Bayesian linear regression |
JoramSoch |
2020-01-03 |

P10 |
blr-post |
Posterior distribution for Bayesian linear regression |
JoramSoch |
2020-01-03 |

P11 |
blr-lme |
Log model evidence for Bayesian linear regression |
JoramSoch |
2020-01-03 |

P12 |
bayes-rule |
Bayes’ rule |
JoramSoch |
2020-01-06 |

P13 |
lme-der |
Derivation of the log model evidence |
JoramSoch |
2020-01-06 |

P14 |
rsq-mll |
Relationship between R² and maximum log-likelihood |
JoramSoch |
2020-01-08 |

P15 |
norm-mean |
Mean of the normal distribution |
JoramSoch |
2020-01-09 |

P16 |
norm-med |
Median of the normal distribution |
JoramSoch |
2020-01-09 |

P17 |
norm-mode |
Mode of the normal distribution |
JoramSoch |
2020-01-09 |

P18 |
norm-var |
Variance of the normal distribution |
JoramSoch |
2020-01-09 |

P19 |
dmi-mce |
Relation of mutual information to marginal and conditional entropy |
JoramSoch |
2020-01-13 |

P20 |
dmi-mje |
Relation of mutual information to marginal and joint entropy |
JoramSoch |
2020-01-13 |

P21 |
dmi-jce |
Relation of mutual information to joint and conditional entropy |
JoramSoch |
2020-01-13 |

P22 |
bern-mean |
Mean of the Bernoulli distribution |
JoramSoch |
2020-01-16 |

P23 |
bin-mean |
Mean of the binomial distribution |
JoramSoch |
2020-01-16 |

P24 |
cat-mean |
Mean of the categorical distribution |
JoramSoch |
2020-01-16 |

P25 |
mult-mean |
Mean of the multinomial distribution |
JoramSoch |
2020-01-16 |

P26 |
matn-mvn |
Equivalence of matrix-normal distribution and multivariate normal distribution |
JoramSoch |
2020-01-20 |

P27 |
poiss-mle |
Maximum likelihood estimation for Poisson-distributed data |
JoramSoch |
2020-01-20 |

P28 |
beta-mome |
Method of moments for beta-distributed data |
JoramSoch |
2020-01-22 |

P29 |
bin-prior |
Conjugate prior distribution for binomial observations |
JoramSoch |
2020-01-23 |

P30 |
bin-post |
Posterior distribution for binomial observations |
JoramSoch |
2020-01-24 |

P31 |
bin-lme |
Log model evidence for binomial observations |
JoramSoch |
2020-01-24 |

P32 |
bic-der |
Derivation of the Bayesian information criterion |
JoramSoch |
2020-01-26 |

P33 |
norm-pdf |
Probability density function of the normal distribution |
JoramSoch |
2020-01-27 |

P34 |
mvn-pdf |
Probability density function of the multivariate normal distribution |
JoramSoch |
2020-01-27 |

P35 |
mvn-marg |
Marginal distributions of the multivariate normal distribution |
JoramSoch |
2020-01-29 |

P36 |
ng-marg |
Marginal distributions of the normal-gamma distribution |
JoramSoch |
2020-01-29 |

P37 |
cuni-pdf |
Probability density function of the continuous uniform distribution |
JoramSoch |
2020-01-31 |

P38 |
cuni-cdf |
Cumulative distribution function of the continuous uniform distribution |
JoramSoch |
2020-01-02 |

P39 |
cuni-qf |
Quantile function of the continuous uniform distribution |
JoramSoch |
2020-01-02 |

P40 |
mlr-ols2 |
Ordinary least squares for multiple linear regression |
JoramSoch |
2020-02-03 |

P41 |
poissexp-prior |
Conjugate prior distribution for the Poisson distribution with exposure values |
JoramSoch |
2020-02-04 |

P42 |
poissexp-post |
Posterior distribution for the Poisson distribution with exposure values |
JoramSoch |
2020-02-04 |

P43 |
poissexp-lme |
Log model evidence for the Poisson distribution with exposure values |
JoramSoch |
2020-02-04 |

P44 |
ng-pdf |
Probability density function of the normal-gamma distribution |
JoramSoch |
2020-02-07 |

P45 |
gam-pdf |
Probability density function of the gamma distribution |
JoramSoch |
2020-02-08 |

P46 |
exp-pdf |
Probability density function of the exponential distribution |
JoramSoch |
2020-02-08 |

P47 |
exp-mean |
Mean of the exponential distribution |
JoramSoch |
2020-02-10 |

P48 |
exp-cdf |
Cumulative distribution function of the exponential distribution |
JoramSoch |
2020-02-11 |

P49 |
exp-med |
Median of the exponential distribution |
JoramSoch |
2020-02-11 |

P50 |
exp-qf |
Quantile function of the exponential distribution |
JoramSoch |
2020-02-12 |

P51 |
exp-mode |
Mode of the exponential distribution |
JoramSoch |
2020-02-12 |

P52 |
mean-nonneg |
Non-negativity of the expected value |
JoramSoch |
2020-02-13 |

P53 |
mean-lin |
Linearity of the expected value |
JoramSoch |
2020-02-13 |

P54 |
mean-mono |
Monotonicity of the expected value |
JoramSoch |
2020-02-17 |

P55 |
mean-mult |
(Non-)Multiplicativity of the expected value |
JoramSoch |
2020-02-17 |

P56 |
ci-wilks |
Construction of confidence intervals using Wilks’ theorem |
JoramSoch |
2020-02-19 |

P57 |
ent-nonneg |
Non-negativity of the Shannon entropy |
JoramSoch |
2020-02-19 |

P58 |
cmi-mcde |
Relation of continuous mutual information to marginal and conditional differential entropy |
JoramSoch |
2020-02-21 |

P59 |
cmi-mjde |
Relation of continuous mutual information to marginal and joint differential entropy |
JoramSoch |
2020-02-21 |

P60 |
cmi-jcde |
Relation of continuous mutual information to joint and conditional differential entropy |
JoramSoch |
2020-02-21 |

P61 |
resvar-bias |
Maximum likelihood estimator of variance is biased |
JoramSoch |
2020-02-24 |

P62 |
resvar-unb |
Construction of unbiased estimator for variance |
JoramSoch |
2020-02-25 |

P63 |
snr-rsq |
Relationship between signal-to-noise ratio and R² |
JoramSoch |
2020-02-26 |

P64 |
lbf-lme |
Log Bayes factor in terms of log model evidences |
JoramSoch |
2020-02-27 |

P65 |
lfe-lme |
Log family evidences in terms of log model evidences |
JoramSoch |
2020-02-27 |

P66 |
pmp-lme |
Posterior model probabilities in terms of log model evidences |
JoramSoch |
2020-02-27 |

P67 |
bma-lme |
Bayesian model averaging in terms of log model evidences |
JoramSoch |
2020-02-27 |

P68 |
dent-neg |
Differential entropy can be negative |
JoramSoch |
2020-03-02 |

P69 |
exp-gam |
Exponential distribution is a special case of gamma distribution |
JoramSoch |
2020-03-02 |

P70 |
matn-pdf |
Probability density function of the matrix-normal distribution |
JoramSoch |
2020-03-02 |

P71 |
norm-mgf |
Moment-generating function of the normal distribution |
JoramSoch |
2020-03-03 |

P72 |
logreg-lonp |
Log-odds and probability in logistic regression |
JoramSoch |
2020-03-03 |

P73 |
pmp-lbf |
Posterior model probability in terms of log Bayes factor |
JoramSoch |
2020-03-03 |

P74 |
pmp-bf |
Posterior model probabilities in terms of Bayes factors |
JoramSoch |
2020-03-03 |

P75 |
mlr-mat |
Transformation matrices for ordinary least squares |
JoramSoch |
2020-03-09 |

P76 |
mlr-pss |
Partition of sums of squares in ordinary least squares |
JoramSoch |
2020-03-09 |

P77 |
mlr-wls |
Weighted least squares for multiple linear regression |
JoramSoch |
2020-03-11 |

P78 |
mlr-mle |
Maximum likelihood estimation for multiple linear regression |
JoramSoch |
2020-03-11 |

P79 |
mult-prior |
Conjugate prior distribution for multinomial observations |
JoramSoch |
2020-03-11 |

P80 |
mult-post |
Posterior distribution for multinomial observations |
JoramSoch |
2020-03-11 |

P81 |
mult-lme |
Log model evidence for multinomial observations |
JoramSoch |
2020-03-11 |

P82 |
cuni-mean |
Mean of the continuous uniform distribution |
JoramSoch |
2020-03-16 |

P83 |
cuni-med |
Median of the continuous uniform distribution |
JoramSoch |
2020-03-16 |

P84 |
cuni-med |
Mode of the continuous uniform distribution |
JoramSoch |
2020-03-16 |

P85 |
norm-cdf |
Cumulative distribution function of the normal distribution |
JoramSoch |
2020-03-20 |

P86 |
norm-cdfwerf |
Expression of the cumulative distribution function of the normal distribution without the error function |
JoramSoch |
2020-03-20 |

P87 |
norm-qf |
Quantile function of the normal distribution |
JoramSoch |
2020-03-20 |

P88 |
mvn-cond |
Conditional distributions of the multivariate normal distribution |
JoramSoch |
2020-03-20 |

P89 |
jl-lfnprior |
Joint likelihood is the product of likelihood function and prior density |
JoramSoch |
2020-05-05 |

P90 |
post-jl |
Posterior density is proportional to joint likelihood |
JoramSoch |
2020-05-05 |

P91 |
ml-jl |
Marginal likelihood is a definite integral of joint likelihood |
JoramSoch |
2020-05-05 |

P92 |
mvn-kl |
Kullback-Leibler divergence for the multivariate normal distribution |
JoramSoch |
2020-05-05 |

P93 |
gam-kl |
Kullback-Leibler divergence for the gamma distribution |
JoramSoch |
2020-05-05 |

P94 |
beta-pdf |
Probability density function of the beta distribution |
JoramSoch |
2020-05-05 |

P95 |
dir-pdf |
Probability density function of the Dirichlet distribution |
JoramSoch |
2020-05-05 |

P96 |
bern-pmf |
Probability mass function of the Bernoulli distribution |
JoramSoch |
2020-05-11 |

P97 |
bin-pmf |
Probability mass function of the binomial distribution |
JoramSoch |
2020-05-11 |

P98 |
cat-pmf |
Probability mass function of the categorical distribution |
JoramSoch |
2020-05-11 |

P99 |
mult-pmf |
Probability mass function of the multinomial distribution |
JoramSoch |
2020-05-11 |

P100 |
mvn-dent |
Differential entropy of the multivariate normal distribution |
JoramSoch |
2020-05-14 |

P101 |
norm-dent |
Differential entropy of the normal distribution |
JoramSoch |
2020-05-14 |

P102 |
poiss-pmf |
Probability mass function of the Poisson distribution |
JoramSoch |
2020-05-14 |

P103 |
mean-nnrvar |
Expected value of a non-negative random variable |
JoramSoch |
2020-05-18 |

P104 |
var-mean |
Partition of variance into expected values |
JoramSoch |
2020-05-19 |

P105 |
logreg-pnlo |
Probability and log-odds in logistic regression |
JoramSoch |
2020-05-19 |

P106 |
glm-ols |
Ordinary least squares for the general linear model |
JoramSoch |
2020-05-19 |

P107 |
glm-wls |
Weighted least squares for the general linear model |
JoramSoch |
2020-05-19 |

P108 |
gam-mean |
Mean of the gamma distribution |
JoramSoch |
2020-05-19 |

P109 |
gam-var |
Variance of the gamma distribution |
JoramSoch |
2020-05-19 |

P110 |
gam-logmean |
Logarithmic expectation of the gamma distribution |
JoramSoch |
2020-05-25 |

P111 |
norm-snorm |
Relationship between normal distribution and standard normal distribution |
JoramSoch |
2020-05-26 |

P112 |
gam-sgam |
Relationship between gamma distribution and standard gamma distribution |
JoramSoch |
2020-05-26 |

P113 |
kl-ent |
Relation of Kullback-Leibler divergence to entropy |
JoramSoch |
2020-05-27 |

P114 |
kl-dent |
Relation of continuous Kullback-Leibler divergence to differential entropy |
JoramSoch |
2020-05-27 |

P115 |
kl-inv |
Invariance of the Kullback-Leibler divergence under parameter transformation |
JoramSoch |
2020-05-28 |

P116 |
kl-add |
Additivity of the Kullback-Leibler divergence for independent distributions |
JoramSoch |
2020-05-31 |

P117 |
kl-nonneg |
Non-negativity of the Kullback-Leibler divergence |
JoramSoch |
2020-05-31 |

P118 |
cov-mean |
Partition of covariance into expected values |
JoramSoch |
2020-06-02 |

P119 |
cov-corr |
Relationship between covariance and correlation |
JoramSoch |
2020-06-02 |

P120 |
covmat-mean |
Partition of a covariance matrix into expected values |
JoramSoch |
2020-06-06 |

P121 |
covmat-corrmat |
Relationship between covariance matrix and correlation matrix |
JoramSoch |
2020-06-06 |

P122 |
precmat-corrmat |
Relationship between precision matrix and correlation matrix |
JoramSoch |
2020-06-06 |

P123 |
var-nonneg |
Non-negativity of the variance |
JoramSoch |
2020-06-06 |

P124 |
var-const |
Variance of constant is zero |
JoramSoch |
2020-06-27 |

P126 |
var-inv |
Invariance of the variance under addition of a constant |
JoramSoch |
2020-07-07 |

P127 |
var-scal |
Scaling of the variance upon multiplication with a constant |
JoramSoch |
2020-07-07 |

P128 |
var-sum |
Variance of the sum of two random variables |
JoramSoch |
2020-07-07 |

P129 |
var-lincomb |
Variance of the linear combination of two random variables |
JoramSoch |
2020-07-07 |

P130 |
var-add |
Additivity of the variance for independent random variables |
JoramSoch |
2020-07-07 |

P131 |
mean-qf |
Expectation of a quadratic form |
JoramSoch |
2020-07-13 |

P132 |
lfe-der |
Derivation of the log family evidence |
JoramSoch |
2020-07-13 |

P133 |
blr-pp |
Posterior probability of the alternative hypothesis for Bayesian linear regression |
JoramSoch |
2020-07-17 |

P134 |
blr-pcr |
Posterior credibility region against the omnibus null hypothesis for Bayesian linear regression |
JoramSoch |
2020-07-17 |

P135 |
mlr-idem |
Projection matrix and residual-forming matrix are idempotent |
JoramSoch |
2020-07-22 |

P136 |
mlr-wls2 |
Weighted least squares for multiple linear regression |
JoramSoch |
2020-07-22 |

P137 |
lbf-der |
Derivation of the log Bayes factor |
JoramSoch |
2020-07-22 |

P138 |
mean-lotus |
Law of the unconscious statistician |
JoramSoch |
2020-07-22 |

P139 |
pmp-der |
Derivation of the posterior model probability |
JoramSoch |
2020-07-28 |

P140 |
duni-pmf |
Probability mass function of the discrete uniform distribution |
JoramSoch |
2020-07-28 |

P141 |
duni-cdf |
Cumulative distribution function of the discrete uniform distribution |
JoramSoch |
2020-07-28 |

P142 |
duni-qf |
Quantile function of the discrete uniform distribution |
JoramSoch |
2020-07-28 |

P143 |
bma-der |
Derivation of Bayesian model averaging |
JoramSoch |
2020-08-03 |

P144 |
matn-trans |
Transposition of a matrix-normal random variable |
JoramSoch |
2020-08-03 |

P145 |
matn-ltt |
Linear transformation theorem for the matrix-normal distribution |
JoramSoch |
2020-08-03 |

P146 |
ng-cond |
Conditional distributions of the normal-gamma distribution |
JoramSoch |
2020-08-05 |

P147 |
kl-nonsymm |
Non-symmetry of the Kullback-Leibler divergence |
JoramSoch |
2020-08-11 |

P148 |
kl-conv |
Convexity of the Kullback-Leibler divergence |
JoramSoch |
2020-08-11 |

P149 |
ent-conc |
Concavity of the Shannon entropy |
JoramSoch |
2020-08-11 |

P150 |
entcross-conv |
Convexity of the cross-entropy |
JoramSoch |
2020-08-11 |

P151 |
poiss-mean |
Mean of the Poisson distribution |
JoramSoch |
2020-08-19 |

P152 |
norm-fwhm |
Full width at half maximum for the normal distribution |
JoramSoch |
2020-08-19 |

P153 |
mom-mgf |
Moment in terms of moment-generating function |
JoramSoch |
2020-08-19 |

P154 |
mgf-ltt |
Linear transformation theorem for the moment-generating function |
JoramSoch |
2020-08-19 |

P155 |
mgf-lincomb |
Moment-generating function of linear combination of independent random variables |
JoramSoch |
2020-08-19 |

P156 |
bf-sddr |
Savage-Dickey Density Ratio for computing Bayes Factors |
tomfaulkenberry |
2020-08-26 |

P157 |
bf-ep |
Encompassing Prior Method for computing Bayes Factors |
tomfaulkenberry |
2020-09-02 |

P158 |
cov-ind |
Covariance of independent random variables |
JoramSoch |
2020-09-03 |

P159 |
mblr-prior |
Conjugate prior distribution for multivariate Bayesian linear regression |
JoramSoch |
2020-09-03 |

P160 |
mblr-post |
Posterior distribution for multivariate Bayesian linear regression |
JoramSoch |
2020-09-03 |

P161 |
mblr-lme |
Log model evidence for multivariate Bayesian linear regression |
JoramSoch |
2020-09-03 |

P162 |
wald-pdf |
Probability density function of the Wald distribution |
tomfaulkenberry |
2020-09-04 |

P163 |
bf-trans |
Transitivity of Bayes Factors |
tomfaulkenberry |
2020-09-07 |

P164 |
gibbs-ineq |
Gibbs’ inequality |
JoramSoch |
2020-09-09 |

P165 |
logsum-ineq |
Log sum inequality |
JoramSoch |
2020-09-09 |

P166 |
kl-nonneg2 |
Non-negativity of the Kullback-Leibler divergence |
JoramSoch |
2020-09-09 |

P167 |
momcent-1st |
First central moment is zero |
JoramSoch |
2020-09-09 |

P168 |
wald-mgf |
Moment-generating function of the Wald distribution |
tomfaulkenberry |
2020-09-13 |

P169 |
wald-mean |
Mean of the Wald distribution |
tomfaulkenberry |
2020-09-13 |

P170 |
wald-var |
Variance of the Wald distribution |
tomfaulkenberry |
2020-09-13 |

P171 |
momraw-1st |
First raw moment is mean |
JoramSoch |
2020-10-08 |

P172 |
momraw-2nd |
Relationship between second raw moment, variance and mean |
JoramSoch |
2020-10-08 |

P173 |
momcent-2nd |
Second central moment is variance |
JoramSoch |
2020-10-08 |

P174 |
chi2-gam |
Chi-squared distribution is a special case of gamma distribution |
kjpetrykowski |
2020-10-12 |

P175 |
chi2-mom |
Moments of the chi-squared distribution |
kjpetrykowski |
2020-10-13 |

P176 |
norm-snorm2 |
Relationship between normal distribution and standard normal distribution |
JoramSoch |
2020-10-15 |

P177 |
gam-sgam2 |
Relationship between gamma distribution and standard gamma distribution |
JoramSoch |
2020-10-15 |

P178 |
gam-cdf |
Cumulative distribution function of the gamma distribution |
JoramSoch |
2020-10-15 |

P179 |
gam-xlogx |
Expected value of x times ln(x) for a gamma distribution |
JoramSoch |
2020-10-15 |

P180 |
norm-snorm3 |
Relationship between normal distribution and standard normal distribution |
JoramSoch |
2020-10-22 |

P181 |
dir-ep |
Exceedance probabilities for the Dirichlet distribution |
JoramSoch |
2020-10-22 |

P182 |
dir-mle |
Maximum likelihood estimation for Dirichlet-distributed data |
JoramSoch |
2020-10-22 |

P183 |
cdf-sifct |
Cumulative distribution function of a strictly increasing function of a random variable |
JoramSoch |
2020-10-29 |

P184 |
pmf-sifct |
Probability mass function of a strictly increasing function of a discrete random variable |
JoramSoch |
2020-10-29 |

P185 |
pdf-sifct |
Probability density function of a strictly increasing function of a continuous random variable |
JoramSoch |
2020-10-29 |

P186 |
cdf-sdfct |
Cumulative distribution function of a strictly decreasing function of a random variable |
JoramSoch |
2020-11-06 |

P187 |
pmf-sdfct |
Probability mass function of a strictly decreasing function of a discrete random variable |
JoramSoch |
2020-11-06 |

P188 |
pdf-sdfct |
Probability density function of a strictly decreasing function of a continuous random variable |
JoramSoch |
2020-11-06 |

P189 |
cdf-pmf |
Cumulative distribution function in terms of probability mass function of a discrete random variable |
JoramSoch |
2020-11-12 |

P190 |
cdf-pdf |
Cumulative distribution function in terms of probability density function of a continuous random variable |
JoramSoch |
2020-11-12 |

P191 |
pdf-cdf |
Probability density function is first derivative of cumulative distribution function |
JoramSoch |
2020-11-12 |

P192 |
qf-cdf |
Quantile function is inverse of strictly monotonically increasing cumulative distribution function |
JoramSoch |
2020-11-12 |

P193 |
norm-kl |
Kullback-Leibler divergence for the normal distribution |
JoramSoch |
2020-11-19 |

P194 |
gam-qf |
Quantile function of the gamma distribution |
JoramSoch |
2020-11-19 |

P195 |
beta-cdf |
Cumulative distribution function of the beta distribution |
JoramSoch |
2020-11-19 |

P196 |
norm-gi |
Gaussian integral |
JoramSoch |
2020-11-25 |

P197 |
chi2-pdf |
Probability density function of the chi-squared distribution |
JoramSoch |
2020-11-25 |

P198 |
beta-mgf |
Moment-generating function of the beta distribution |
JoramSoch |
2020-11-25 |

P199 |
dent-inv |
Invariance of the differential entropy under addition of a constant |
JoramSoch |
2020-12-02 |

P200 |
dent-add |
Addition of the differential entropy upon multiplication with a constant |
JoramSoch |
2020-12-02 |

P201 |
ug-prior |
Conjugate prior distribution for the univariate Gaussian |
JoramSoch |
2021-03-03 |

P202 |
ug-post |
Posterior distribution for the univariate Gaussian |
JoramSoch |
2021-03-03 |

P203 |
ug-lme |
Log model evidence for the univariate Gaussian |
JoramSoch |
2021-03-03 |

P204 |
ug-ttest1 |
One-sample t-test for independent observations |
JoramSoch |
2021-03-12 |

P205 |
ug-ttest2 |
Two-sample t-test for independent observations |
JoramSoch |
2021-03-12 |

P206 |
ug-ttestp |
Paired t-test for dependent observations |
JoramSoch |
2021-03-12 |

P207 |
ugkv-mle |
Maximum likelihood estimation for the univariate Gaussian with known variance |
JoramSoch |
2021-03-24 |

P208 |
ugkv-ztest1 |
One-sample z-test for independent observations |
JoramSoch |
2021-03-24 |

P209 |
ugkv-ztest2 |
Two-sample z-test for independent observations |
JoramSoch |
2021-03-24 |

P210 |
ugkv-ztestp |
Paired z-test for dependent observations |
JoramSoch |
2021-03-24 |

P211 |
ugkv-prior |
Conjugate prior distribution for the univariate Gaussian with known variance |
JoramSoch |
2021-03-24 |

P212 |
ugkv-post |
Posterior distribution for the univariate Gaussian with known variance |
JoramSoch |
2021-03-24 |

P213 |
ugkv-lme |
Log model evidence for the univariate Gaussian with known variance |
JoramSoch |
2021-03-24 |

P214 |
ugkv-anc |
Accuracy and complexity for the univariate Gaussian with known variance |
JoramSoch |
2021-03-24 |

P215 |
ugkv-lbf |
Log Bayes factor for the univariate Gaussian with known variance |
JoramSoch |
2021-03-24 |

P216 |
ugkv-lbfmean |
Expectation of the log Bayes factor for the univariate Gaussian with known variance |
JoramSoch |
2021-03-24 |

P217 |
ugkv-cvlme |
Cross-validated log model evidence for the univariate Gaussian with known variance |
JoramSoch |
2021-03-24 |

P218 |
ugkv-cvlbf |
Cross-validated log Bayes factor for the univariate Gaussian with known variance |
JoramSoch |
2021-03-24 |

P219 |
ugkv-cvlbfmean |
Expectation of the cross-validated log Bayes factor for the univariate Gaussian with known variance |
JoramSoch |
2021-03-24 |

P220 |
cdf-pit |
Probability integral transform using cumulative distribution function |
JoramSoch |
2021-04-07 |

P221 |
cdf-itm |
Inverse transformation method using cumulative distribution function |
JoramSoch |
2021-04-07 |

P222 |
cdf-dt |
Distributional transformation using cumulative distribution function |
JoramSoch |
2021-04-07 |

P223 |
ug-mle |
Maximum likelihood estimation for the univariate Gaussian |
JoramSoch |
2021-04-16 |

P224 |
poissexp-mle |
Maximum likelihood estimation for the Poisson distribution with exposure values |
JoramSoch |
2021-04-16 |

P225 |
poiss-prior |
Conjugate prior distribution for Poisson-distributed data |
JoramSoch |
2020-04-21 |

P226 |
poiss-post |
Posterior distribution for Poisson-distributed data |
JoramSoch |
2020-04-21 |

P227 |
poiss-lme |
Log model evidence for Poisson-distributed data |
JoramSoch |
2020-04-21 |

P228 |
beta-mean |
Mean of the beta distribution |
JoramSoch |
2021-04-29 |

P229 |
beta-var |
Variance of the beta distribution |
JoramSoch |
2021-04-29 |

P230 |
poiss-var |
Variance of the Poisson distribution |
JoramSoch |
2021-04-29 |

P231 |
mvt-f |
Relationship between multivariate t-distribution and F-distribution |
JoramSoch |
2021-05-04 |

P232 |
nst-t |
Relationship between non-standardized t-distribution and t-distribution |
JoramSoch |
2021-05-11 |

P233 |
norm-chi2 |
Relationship between normal distribution and chi-squared distribution |
JoramSoch |
2021-05-20 |

P234 |
norm-t |
Relationship between normal distribution and t-distribution |
JoramSoch |
2021-05-27 |

P235 |
norm-lincomb |
Linear combination of independent normal random variables |
JoramSoch |
2021-06-02 |

P236 |
mvn-ind |
Necessary and sufficient condition for independence of multivariate normal random variables |
JoramSoch |
2021-06-02 |