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Qué (quién) es log-normal - definición

PROBABILITY DISTRIBUTION

Log-normal; Lognormal distribution; Lognormal; Log normal; Log normal distribution; Lognormal Distribution; Log-Normal; Logarithmic normal distribution; Galton distribution; Galton's distribution; Log-normality; Multiplicative Central Limit Theorem; Log-normal distributions

$Relation between normal and log-normal distribution. If <math>Y=\mu+\sigma Z</math> is normally distributed, then <math>X\sim e^{Y}</math> is log-normally distributed.$
$a. <math>y</math> is a log-normal variable with <math>\mu=1, \sigma=0.5</math>. <math>p(\sin y>0)</math> is computed by transforming to the normal variable <math>x = \ln y</math>, then integrating its density over the domain defined by <math>\sin e^x>0</math> (blue regions), using the numerical method of ray-tracing.<ref name="Das" /> b & c. The pdf and cdf of the function <math> \sin y</math> of the log-normal variable can also be computed in this way.$

log-normal

¦ adjective Statistics of or denoting a set of data in which the logarithm of the variate follows a normal distribution.

Chip log

INSTRUMENT USED TO MEASURE THE SPEED OF A SHIP AT SEA

Log (speed); Knot log; Knotted line; Patent log; Speed log; Taffrail log; Logreel; Log reel

A chip log, also called common log, ship log, or just log, is a navigation tool mariners use to estimate the speed of a vessel through water. The word knot, to mean nautical mile per hour, derives from this measurement method.

https://en.wikipedia.org/wiki/Chip_log

Chinking

SIMPLE DWELLING CONSTRUCTED OF LOGS

Log Cabin; Chinking; Log cabins; Log cabin (building); Log Cabin architecture; Log-cabin

·p.pr. & ·vb.n. of Chink.

Wikipedia

Log-normal distribution

In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally distributed. Thus, if the random variable X is log-normally distributed, then Y = ln(X) has a normal distribution. Equivalently, if Y has a normal distribution, then the exponential function of Y, X = exp(Y), has a log-normal distribution. A random variable which is log-normally distributed takes only positive real values. It is a convenient and useful model for measurements in exact and engineering sciences, as well as medicine, economics and other topics (e.g., energies, concentrations, lengths, prices of financial instruments, and other metrics).

The distribution is occasionally referred to as the Galton distribution or Galton's distribution, after Francis Galton. The log-normal distribution has also been associated with other names, such as McAlister, Gibrat and Cobb–Douglas.

A log-normal process is the statistical realization of the multiplicative product of many independent random variables, each of which is positive. This is justified by considering the central limit theorem in the log domain (sometimes called Gibrat's law). The log-normal distribution is the maximum entropy probability distribution for a random variate X—for which the mean and variance of ln(X) are specified.

https://en.wikipedia.org/wiki/Log-normal distribution

Ejemplos de uso de log-normal

1. A classic example illustrating this point would be in trying to look at portfolio Value at Risk (VaR) for which there are three well known methodologies but two of which assume that price distributions follow a log normal pattern, which is unrealistic at best.