Estimator Consistency in a General Setup
DOI:
https://doi.org/10.17713/ajs.v35i2&3.375Abstract
Many problems considered and investigated in statistics follow a general schema. Observed data are generated by a model containing randomness and determined via a collection of parameters. We are interested in future behavior of observed system. Therefore, a convenient estimation procedure for unknown parameters becomes to be the crucial task. This schedule often leads to derivation of an optimization problem that solution is a reasonable estimator of required parameters.
We are discussing behavior of such an estimator with a relatively general background. The setup is illustrated on a linear regression model.
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