Od twierdzenia Jakuba Bernoulliego do współczesnych badań reprezentacyjnych
From Jacob Bernoulli's theorem to modern sample surveys

Summary/Abstract: The author discusses the importance of Jacob Bernoulli's theorem, published in 1713, for the development of sample surveys, next mentioning the many prominent mathematicians, statisticians and other scientists who developed the idea of the methods used in implementation of the modern sample surveys in the last three hundred years. He starts with showing on the basis of this theorem, why a sample from a population should be selected, using random numbers, to generalize the estimates for the whole population with a certain precision. Next, different methods of sample selection, estimation methods, modes of data collection, using data from different sources, and methods of data analysis in the last three hundred years are generally discussed. At the end some conclusions related to data quality undertaken by Eurostat are given.

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