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dc.contributor.authorBowmar, Robert H.en_US
dc.date.accessioned2018-02-26T19:20:01Z
dc.date.available2018-02-26T19:20:01Z
dc.date.issued1962
dc.date.submitted1962
dc.identifier.otherb14565213
dc.identifier.urihttps://hdl.handle.net/2144/27192
dc.descriptionThesis (M.A.)--Boston University.en_US
dc.description.abstractAs the introduction to this thesis has described it the significant content of the thesis is a consideration of the more important aspects of the theory of limiting distributions for the distributions associated with sequences of sums of independent random variables. We begin our analysis with the discussion of the relatively common probability law, the binomial probability law. This is defined and related to two further probability laws: the normal law and the Poisson law. It is shown that in the binomial situation when the number, n, of trials approaches infinity and the probability, p, of success at each trial approaches 0 in such a way that the variable lambda = np remains bounded, the Poisson approximation to the binomial is a uniform approximation. The DeMoivre - Laplace Limit theorem enables us to see the relation of the normal law to the binomial law. It states that the binomial distribution converges to the normal distribution in the situation wherein we are holding p constant and allowing n -> infinity. It is also noted that under favorable conditions the Poisson distribution is itself approximated by means of the Normal distribution [TRUNCATED].en_US
dc.language.isoen_US
dc.publisherBoston Universityen_US
dc.rightsBased on investigation of the BU Libraries' staff, this work is free of known copyright restrictions.en_US
dc.titleLimit theorems for sums of independent random variablesen_US
dc.typeThesis/Dissertationen_US
etd.degree.nameMaster of Artsen_US
etd.degree.levelmastersen_US
etd.degree.disciplineMathematicsen_US
etd.degree.grantorBoston Universityen_US


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