Leslie, Julian Robert2017-11-032017-11-031974b1015780http://hdl.handle.net/1885/133186This study falls into two parts: in the first part (Chapters 2, 2A and 3) we examine the Chebyshev expansion for the distribution function of normed sums of independent random variables and in the second part (Chapters 4 and 5) we apply some convergence rate results from independent random variable theory to two types of branching process and we obtain some analogues of the classical limit laws.enDistribution (Probability theory)Convergence197410.25911/5d723c0214db42017-10-17