Description: The limit distribution refers to the probability distribution to which a sequence of random variables converges as the number of variables approaches infinity. This concept is fundamental in probability theory and statistics, as it allows for understanding the behavior of sums or averages of random variables under certain conditions. In more technical terms, the limit distribution can be seen as the result of applying the central limit theorem, which states that regardless of the original distribution of the variables, the distribution of the sum of a large number of these variables tends to be normal. This implies that, in practical situations, many distributions of random phenomena can be approximated by a normal distribution, facilitating statistical analysis and inference. The main characteristics of the limit distribution include its ability to simplify the analysis of complex data and its applicability in various fields such as economics, biology, and engineering. In summary, the limit distribution is a key concept that allows statisticians and data scientists to make predictions and informed decisions based on the behavior of large datasets.
