Mixtures of distributions
نویسندگان
چکیده
منابع مشابه
Learning Mixtures of Distributions
Learning Mixtures of Distributions by Kamalika Chaudhuri Doctor of Philosophy in Computer Science University of California, Berkeley Professor Satish Rao, Chair This thesis studies the problem of learning mixtures of distributions, a natural formalization of clustering. A mixture of distributions is a collection of distributions D = {D1, . . .DT}, and mixing weights, {w1, . . . , wT} such that ...
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The mixture of Bernoulli distributions [6] is a technique that is frequently used for the modeling of binary random vectors. They differ from (restricted) Boltzmann Machines in that they do not model the marginal distribution over the binary data space X as a product of (conditional) Bernoulli distributions, but as a weighted sum of Bernoulli distributions. Despite the non-identifiability of th...
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This paper introduces constrained mixtures for continuous distributions, characterized by a mixture of distributions where each distribution has a shape similar to the base distribution and disjoint domains. This new concept is used to create generalized asymmetric versions of the Laplace and normal distributions, which are shown to define exponential families, with known conjugate priors, and ...
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We present general results on the identifiability of finite mixtures of elliptical distributions under conditions on the characteristic generators or density generators. Examples include the multivariate t distribution, symmetric stable laws, exponential power and Kotz distributions. In each case, the shape parameter is allowed to vary in the mixture, in addition to the location vector and the ...
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Problems associated with the of occurrence of runs of like elements in a series of trials have recently attracted uite a lot of attentiono The reasons may possibly be traced not to the interest they present as generalizing the usual binomial set ut also to the practical value that any theoretical results in this direction would have with regard to statistical testingo Feller [3] a series of Ber...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1970
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700041708