Merge pull request #69 from StatProofBook/master

update to master

Author: JoramSoch

404.html

@@ -25,6 +25,7 @@ <h1>This page doesn't exist!</h1>
 <div class="list">
   <ul>
 	<li>If the URL reads <code class="language-plaintext highlighter-rouge">.../P/[shortcut]</code>, create a <a href="/contribute/">new page</a> using the <a href="https://raw.githubusercontent.com/StatProofBook/StatProofBook.github.io/master/P/-temp-.md">proof template</a>.</li>
-    <li>If the URL reads <code class="language-plaintext highlighter-rouge">.../D/[shortcut]</code>, create a <a href="/contribute/">new page</a> using the <a href="https://raw.githubusercontent.com/StatProofBook/StatProofBook.github.io/master/D/-temp-.md">definition template</a>.</li>
+	<li>If the URL reads <code class="language-plaintext highlighter-rouge">.../D/[shortcut]</code>, create a <a href="/contribute/">new page</a> using the <a href="https://raw.githubusercontent.com/StatProofBook/StatProofBook.github.io/master/D/-temp-.md">definition template</a>.</li>
+	<li>Alternatively, you may also use the <a href="/search">search</a> function of the website.</li>
   </ul>
 </div>

D/cov-samp.md

@@ -36,7 +36,7 @@ $$
 and the unbiased sample covariance of $x$ and $y$ is given by
 
 $$ \label{eq:cov-samp-unb}
-s^2_{xy} = \frac{1}{n-1} \sum_{i=1}^{n} (x_i - \bar{x}) (y_i - \bar{y})
+s_{xy} = \frac{1}{n-1} \sum_{i=1}^{n} (x_i - \bar{x}) (y_i - \bar{y})
 $$
 
 where $\bar{x}$ and $\bar{y}$ are the [sample means](/D/mean-samp).

D/regline.md

@@ -42,7 +42,7 @@ $$
 is called a "regression line" and the set
 
 $$ \label{eq:regline-ols}
-L(\hat{\beta}_0, \hat{\beta}_1) = \left\lbrace (x,y) \in \mathbb{R}^2 \mid y = \hat{\beta}_0 + \hat{\beta}_1 x \right\rbrace
+L(\hat{\beta}_0, \hat{\beta}_1)
 $$
 
 is called the "fitted regression line", with estimated regression coefficients $\hat{\beta}_0, \hat{\beta}_1$, e.g. obtained via [ordinary least squares](/P/slr-ols).

I/DbA.md

@@ -0,0 +1,185 @@
+---
+layout: page
+title: "Definition by Author"
+---
+
+
+### JoramSoch (159 definitions)
+
+- [Akaike information criterion](/D/aic)
+- [Alternative hypothesis](/D/h1)
+- [Bayesian information criterion](/D/bic)
+- [Bayesian model averaging](/D/bma)
+- [Bernoulli distribution](/D/bern)
+- [Beta distribution](/D/beta)
+- [Beta-distributed data](/D/beta-data)
+- [Binomial distribution](/D/bin)
+- [Binomial observations](/D/bin-data)
+- [Categorical distribution](/D/cat)
+- [Central moment](/D/mom-cent)
+- [Characteristic function](/D/cf)
+- [Coefficient of determination](/D/rsq)
+- [Conditional differential entropy](/D/dent-cond)
+- [Conditional entropy](/D/ent-cond)
+- [Conditional independence](/D/ind-cond)
+- [Conditional probability distribution](/D/dist-cond)
+- [Conjugate and non-conjugate prior distribution](/D/prior-conj)
+- [Constant](/D/const)
+- [Continuous uniform distribution](/D/cuni)
+- [Correlation](/D/corr)
+- [Correlation matrix](/D/corrmat)
+- [Corresponding forward model](/D/cfm)
+- [Covariance](/D/cov)
+- [Covariance matrix](/D/covmat)
+- [Critical value](/D/cval)
+- [Cross-entropy](/D/ent-cross)
+- [Cross-validated log model evidence](/D/cvlme)
+- [Cumulant-generating function](/D/cgf)
+- [Cumulative distribution function](/D/cdf)
+- [Deviance information criterion](/D/dic)
+- [Differential cross-entropy](/D/dent-cross)
+- [Differential entropy](/D/dent)
+- [Dirichlet distribution](/D/dir)
+- [Dirichlet-distributed data](/D/dir-data)
+- [Discrete and continuous random variable](/D/rvar-disc)
+- [Discrete uniform distribution](/D/duni)
+- [Empirical Bayes](/D/eb)
+- [Empirical Bayes prior distribution](/D/prior-eb)
+- [Empirical Bayesian log model evidence](/D/eblme)
+- [Empirical and theoretical prior distribution](/D/prior-emp)
+- [Estimation matrix](/D/emat)
+- [Exceedance probability](/D/prob-exc)
+- [Expected value](/D/mean)
+- [Expected value of a random matrix](/D/mean-rmat)
+- [Expected value of a random vector](/D/mean-rvec)
+- [Explained sum of squares](/D/ess)
+- [Exponential distribution](/D/exp)
+- [F-distribution](/D/f)
+- [Flat, hard and soft prior distribution](/D/prior-flat)
+- [Full probability model](/D/fpm)
+- [Full width at half maximum](/D/fwhm)
+- [Gamma distribution](/D/gam)
+- [General linear model](/D/glm)
+- [Generative model](/D/gm)
+- [Informative and non-informative prior distribution](/D/prior-inf)
+- [Inverse general linear model](/D/iglm)
+- [Joint cumulative distribution function](/D/cdf-joint)
+- [Joint differential entropy](/D/dent-joint)
+- [Joint entropy](/D/ent-joint)
+- [Joint likelihood](/D/jl)
+- [Joint probability](/D/prob-joint)
+- [Joint probability distribution](/D/dist-joint)
+- [Kolmogorov axioms of probability](/D/prob-ax)
+- [Kullback-Leibler divergence](/D/kl)
+- [Law of conditional probability](/D/prob-cond)
+- [Law of marginal probability](/D/prob-marg)
+- [Likelihood function](/D/lf)
+- [Log Bayes factor](/D/lbf)
+- [Log family evidence](/D/lfe)
+- [Log model evidence](/D/lme)
+- [Log-likelihood function](/D/llf)
+- [Logistic regression](/D/logreg)
+- [Marginal likelihood](/D/ml)
+- [Marginal probability distribution](/D/dist-marg)
+- [Matrix-normal distribution](/D/matn)
+- [Maximum](/D/max)
+- [Maximum entropy prior distribution](/D/prior-maxent)
+- [Maximum likelihood estimation](/D/mle)
+- [Maximum log-likelihood](/D/mll)
+- [Median](/D/med)
+- [Method-of-moments estimation](/D/mome)
+- [Minimum](/D/min)
+- [Mode](/D/mode)
+- [Moment](/D/mom)
+- [Moment-generating function](/D/mgf)
+- [Multinomial distribution](/D/mult)
+- [Multinomial observations](/D/mult-data)
+- [Multiple linear regression](/D/mlr)
+- [Multivariate normal distribution](/D/mvn)
+- [Multivariate t-distribution](/D/mvt)
+- [Mutual exclusivity](/D/exc)
+- [Mutual information](/D/mi)
+- [Non-standardized t-distribution](/D/nst)
+- [Normal distribution](/D/norm)
+- [Normal-gamma distribution](/D/ng)
+- [Null hypothesis](/D/h0)
+- [One-tailed and two-tailed hypothesis](/D/hyp-tail)
+- [One-tailed and two-tailed test](/D/test-tail)
+- [Point and set hypothesis](/D/hyp-point)
+- [Poisson distribution](/D/poiss)
+- [Poisson distribution with exposure values](/D/poissexp)
+- [Poisson-distributed data](/D/poiss-data)
+- [Posterior distribution](/D/post)
+- [Posterior model probability](/D/pmp)
+- [Power of a statistical test](/D/power)
+- [Precision](/D/prec)
+- [Precision matrix](/D/precmat)
+- [Prior distribution](/D/prior)
+- [Probability](/D/prob)
+- [Probability density function](/D/pdf)
+- [Probability distribution](/D/dist)
+- [Probability mass function](/D/pmf)
+- [Probability-generating function](/D/pgf)
+- [Projection matrix](/D/pmat)
+- [Quantile function](/D/qf)
+- [Random event](/D/reve)
+- [Random experiment](/D/rexp)
+- [Random matrix](/D/rmat)
+- [Random variable](/D/rvar)
+- [Random vector](/D/rvec)
+- [Raw moment](/D/mom-raw)
+- [Reference prior distribution](/D/prior-ref)
+- [Regression line](/D/regline)
+- [Residual sum of squares](/D/rss)
+- [Residual variance](/D/resvar)
+- [Residual-forming matrix](/D/rfmat)
+- [Sample covariance matrix](/D/covmat-samp)
+- [Sample mean](/D/mean-samp)
+- [Sample variance](/D/var-samp)
+- [Sampling distribution](/D/dist-samp)
+- [Shannon entropy](/D/ent)
+- [Signal-to-noise ratio](/D/snr)
+- [Significance level](/D/alpha)
+- [Simple and composite hypothesis](/D/hyp-simp)
+- [Simple linear regression](/D/slr)
+- [Size of a statistical test](/D/size)
+- [Standard deviation](/D/std)
+- [Standard gamma distribution](/D/sgam)
+- [Standard normal distribution](/D/snorm)
+- [Standard uniform distribution](/D/suni)
+- [Standardized moment](/D/mom-stand)
+- [Statistical hypothesis](/D/hyp)
+- [Statistical hypothesis test](/D/test)
+- [Statistical independence](/D/ind)
+- [Test statistic](/D/tstat)
+- [Total sum of squares](/D/tss)
+- [Transformed general linear model](/D/tglm)
+- [Uniform and non-uniform prior distribution](/D/prior-uni)
+- [Uniform-prior log model evidence](/D/uplme)
+- [Univariate Gaussian](/D/ug)
+- [Univariate Gaussian with known variance](/D/ugkv)
+- [Univariate and multivariate random variable](/D/rvar-uni)
+- [Variance](/D/var)
+- [Variational Bayes](/D/vb)
+- [Variational Bayesian log model evidence](/D/vblme)
+- [Wishart distribution](/D/wish)
+- [p-value](/D/pval)
+- [t-distribution](/D/t)
+
+### StatProofBook (1 definition)
+
+- [Definition Template](/D/-temp-)
+
+### ciaranmci (1 definition)
+
+- [Sample covariance](/D/cov-samp)
+
+### kjpetrykowski (1 definition)
+
+- [Chi-squared distribution](/D/chi2)
+
+### tomfaulkenberry (3 definitions)
+
+- [Bayes factor](/D/bf)
+- [Encompassing model](/D/encm)
+- [Wald distribution](/D/wald)