Random Effects Models

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Random minimal spanning tree - In mathematics, random minimal spanning tree, or random MST, is a model (actually two related models) for a random tree (see also minimal spanning tree). It might be compared against the uniform spanning tree, a different model for a random tree which has been researched much more extensively.

Monte Carlo option model - A Monte Carlo model, in its most general description, includes any method of estimating a value by the random generation of numbers and statistical principles. As a way of pricing or valuing options, Monte Carlo option models use a pseudo-random sequence, one that will be random enough the simulate a range of outcomes yet deterministic enough to reproduce when necessary.

Risk factors - A risk factor is a concept in finance theory such as the CAPM, APT and other theories that use pricing kernels. In these models, the rate of return of an asset (hence the converse its price) is a random variable whose realization in any time period is a linear combination of other random variables plus a disturbance term or white noise.

Econometric model - Econometric models are used by economists to find standard relationships among aspects of the macroeconomy and use those relationships to predict the effects of certain events (like government policies) on inflation, unemployment, growth, etc... Econometric models generally have a short-run aggregate supply component with fixed prices, and aggregate demand portion, and a potential output component.


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Statistical Analysis - Principles of mixed model analysis. Includes discussion of REML estimation of variances, BLUEs and BLUPs, fixed and random effects, and inference space; with small examples.

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