Welcome to On Statistics
-
Fundamentals of the Central Limit Theorem
In the realm of probability and statistics, the Central Limit Theorem (CLT) stands as a cornerstone, offering a powerful tool for understanding the behavior of sample means. This fundamental theorem reveals a fascinating phenomenon: regardless of the original distribution of a population, if you draw sufficiently large samples from that population, the distribution of the…
-
The Multinomial Distribution: Exploring Multiple Outcomes in Experiments
In the realm of probability and statistics, understanding the likelihood of various outcomes in an experiment is crucial. The multinomial distribution emerges as a powerful tool for analyzing scenarios where multiple possible outcomes can occur in a single trial, and we’re interested in the probability of obtaining specific combinations of these outcomes over a series…
-
The Negative Binomial Distribution: Counting Trials Until “r” Successes
In the realm of probability, understanding how many trials are needed until a specific number of successes occur is crucial. The negative binomial distribution emerges as a powerful tool in this context, focusing on calculating the probability of encountering r successes in a series of independent and identically distributed (i.i.d.) trials with two possible outcomes:…
