When we want to know a standard deviation of a big population, we usually take a sample from the whole and than calculate estimator value. However it is not always clear which estimator should we use. Sometimes people argue whenever biased or unbiased standard deviation estimator is better. Below we explore this field and present the result of the numerical simulation.
The power of Central Limit Theorem is widely known. In the following post we are exploring a bit the areas outside its scope – where the CLT does not work. We present the results of numerical simulations for three distributions: Uniform, Cauchy distribution, and certain “naughty” distribution called later “Petersburg distribution”.