In probability theory and computer science, a log probability is simply a logarithm of a probability. The use of log probabilities means representing...

In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally...

terms of log probability, two events are independent if and only if the log probability of the joint event is the sum of the log probability of the individual...

and the log-likelihood is the "weight of evidence". Interpreting negative log-probability as information content or surprisal, the support (log-likelihood)...

A prior probability distribution of an uncertain quantity, simply called the prior, is its assumed probability distribution before some evidence is taken...

} is the logarithm, which gives 0 surprise when the probability of the event is 1. In fact, log is the only function that satisfies а specific set of...

takes value 1 with probability p and value 0 with probability q = 1 − p. The Rademacher distribution, which takes value 1 with probability 1/2 and value −1...

In probability and statistics, the log-logistic distribution (known as the Fisk distribution in economics) is a continuous probability distribution for...

In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance...

In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of possible outcomes...

logarithmic scale, as in log probability. Similar to multiplication operations in linear-scale becoming simple additions in log-scale, an addition operation...

also called the log-odds since it is equal to the logarithm of the odds p 1 − p {\displaystyle {\frac {p}{1-p}}} where p is a probability. Thus, the logit...

Q} be probability density functions of p {\displaystyle p} and q {\displaystyle q} with respect to r {\displaystyle r} . Then − ∫ X P ( x ) log ⁡ Q (...

x)=1-p(x)} is the probability of x {\displaystyle x} not occurring. Then we have the following definition of the log-odds: log-odds ( x ) = log ⁡ ( p ( x )...

In probability theory and statistics, the geometric distribution is either one of two discrete probability distributions: The probability distribution...

such as decibels (see Decibel § Addition), log probability, or log-likelihoods. The operations on the log semiring can be defined extrinsically by mapping...

)+B(x)\right].} In terms of log probability, log ⁡ ( f X ( x   |   θ ) ) = η ( θ ) ⋅ T ( x ) − A ( θ ) + B ( x ) . {\displaystyle \log(f_{X}{\left(x\ {\big |}\...

probability distribution Q is different from a true probability distribution P. Mathematically, it is defined as D KL ( P ∥ Q ) = ∑ x ∈ X P ( x ) log...

In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes...

In probability theory, a log-t distribution or log-Student t distribution is a probability distribution of a random variable whose logarithm is distributed...

function that converts log-odds to probability is the logistic function, hence the name. The unit of measurement for the log-odds scale is called a logit...

In probability theory and statistics, the log-Laplace distribution is the probability distribution of a random variable whose logarithm has a Laplace distribution...

ratio (OR) and sample log odds ratio (LOR): The following joint probability distributions contain the population cell probabilities, along with the corresponding...

In probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a...

formula: log b ⁡ x = log 10 ⁡ x log 10 ⁡ b = log e ⁡ x log e ⁡ b . {\displaystyle \log _{b}x={\frac {\log _{10}x}{\log _{10}b}}={\frac {\log _{e}x}{\log _{e}b}}...

with probability P ( d ) = log 10 ⁡ ( d + 1 ) − log 10 ⁡ ( d ) = log 10 ⁡ ( d + 1 d ) = log 10 ⁡ ( 1 + 1 d ) . {\displaystyle P(d)=\log _{10}(d+1)-\log _{10}(d)=\log...

determined by the events of highest probability. H 0 ( X ) {\displaystyle \mathrm {H} _{0}(X)} is log ⁡ n {\displaystyle \log n} where n {\displaystyle n} is...

distribution in log space (e.g. log-probability or log-density) instead. That is, work with h ( x ) = log ⁡ g ( x ) {\displaystyle h\left(x\right)=\log g\left(x\right)}...

In probability and statistics, the reciprocal distribution, also known as the log-uniform distribution, is a continuous probability distribution. It is...

distribution that the energy of a state is proportional to the negative log probability of that state) yields: Δ E i = − k B T ln ⁡ ( p i=off ) − ( − k B T...