In probability theory, there exist several different notions of convergence of sequences of random variables, including convergence in probability, convergence in distribution, and almost sure convergence. The different notions of convergence capture different properties about the sequence, with some notions of convergence being stronger than others. For example, convergence in distribution tells us about the limit distribution of a sequence of random variables. This is a weaker notion than convergence in probability, which tells us about the value a random variable will take, rather than just the distribution.
In probability theory, there exist several different notions of convergence of sequences of random variables, including convergence in probability, convergence in distribution and almost sure convergence. The different notions of convergence capture different properties about the sequence, with some notions of convergence being stronger than others. For example convergence in distribution tells us about the limit distribution of a sequence of random variables. This is a weaker notion than convergence in probability which tells us about the value a random variable will take, rather than just the distribution.