Uudelleennäytteenotto

Uudelleennäytteenotto, also known as resampling, is a statistical technique used to estimate a population parameter by taking multiple samples from a sample of data. It involves repeatedly drawing samples from the original dataset with replacement. Each resampled dataset is then used to calculate a statistic of interest, such as the mean or median. The distribution of these statistics from the resampled datasets can then be used to estimate the sampling distribution of the statistic from the original sample.

This method is particularly useful when the underlying distribution of the population is unknown or when the sample size is small. By generating many resampled datasets, uudelleennäytteenotto allows for the construction of confidence intervals and the assessment of the variability of a statistic without needing to collect additional data. It is a versatile tool in statistical inference and has applications in various fields, including machine learning, econometrics, and biostatistics.

Common algorithms for uudelleennäytteenotto include bootstrapping and the jackknife. Bootstrapping is the most widely used method, where random samples of the same size as the original sample are drawn with replacement. The jackknife, on the other hand, involves systematically leaving out one observation at a time to create subsamples. Both techniques help in understanding the uncertainty associated with a particular statistical estimate.