Lan Xang Chronicle
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Lan Xang Chronicle
Lan or LAN may also refer to: Science and technology * Local asymptotic normality, a fundamental property of regular models in statistics * Longitude of the ascending node, one of the orbital elements used to specify the orbit of an object in space * Łan, unit of measurement in Poland * Local area network, a computer network that interconnects within a limited area such as one or more buildings * Lan blood group system, a human blood group Places * Lancashire (Chapman code), England * Lancaster railway station (National Rail station code), England * Capital Region International Airport (IATA airport code), Lansing, Michigan, US * Lan County, Shanxi, China * Łan, Lublin Voivodeship, Poland * Lan (river), Belarus * Llan (placename), a placename element known in Breton as ''lan'' Airlines * LATAM Airlines, LAN Airlines, former name of LATAM Chile, an airline in Chile, with a stake in other airlines: ** LATAM Peru, LAN Peru, an airline based in Peru ** LATAM Ecuador, LAN Ecuador, ...
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Local Asymptotic Normality
In statistics, local asymptotic normality is a property of a sequence of statistical models, which allows this sequence to be asymptotically approximated by a normal location model, after a rescaling of the parameter. An important example when the local asymptotic normality holds is in the case of i.i.d sampling from a regular parametric model. The notion of local asymptotic normality was introduced by . Definition A sequence of parametric statistical models is said to be locally asymptotically normal (LAN) at ''θ'' if there exist matrices ''rn'' and ''Iθ'' and a random vector such that, for every converging sequence , : \ln \frac = h'\Delta_ - \frac12 h'I_\theta\,h + o_(1), where the derivative here is a Radon–Nikodym derivative, which is a formalised version of the likelihood ratio, and where ''o'' is a type of big O in probability notation. In other words, the local likelihood ratio must converge in distribution to a normal random variable whose mean is ...
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