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A local limit theorem for independent random variables
Authors:RA Maller
Institution:Australian National University and CSIRO Division of Mathematics and Statistics, P.O. Box 310 South Melbourne 3205, Australia
Abstract:A local limit theorem is given for independent noninteger random variables under a condition which is more general than one previously given, and which reduces, in the case of identically distributed random variables, to a well-known result.
Keywords:Primary 60J80  Secondary 60F05  critical branching process  generation numbers  degree of relationship  branching random walk  central limit theorem
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