Choice of Statistic
The bootstrap distribution of a point estimator of a population parameter has been used to produce a bootstrapped confidence interval for the parameter's true value, if the parameter can be written as a function of the population's distribution.
Population parameters are estimated with many point estimators. Popular families of point-estimators include mean-unbiased minimum-variance estimators, median-unbiased estimators, Bayesian estimators (for example, the posterior distribution's mode, median, mean), and maximum-likelihood estimators.
A Bayesian point estimator and a maximum-likelihood estimator have good performance when the sample size is infinite, according to asymptotic theory. For practical problems with finite samples, other estimators may be preferable. Asymptotic theory suggests techniques that often improve the performance of bootstrapped estimators; the bootstrapping of a maximum-likelihood estimator may often be improved using transformations related to pivotal quantities.
Read more about this topic: Bootstrapping (statistics)
Famous quotes containing the words choice of and/or choice:
“Fervor is the weapon of choice of the impotent.”
—Frantz Fanon (1925–1961)
“I think there is choice possible at any moment to us, as long as we live. But there is no sacrifice. There is a choice, and the rest falls away. Second choice does not exist. Beware of those who talk about sacrifice.”
—Muriel Rukeyser (1913–1980)