Sampling Formulae Arising from Random Dirichlet Populations
نویسندگان
چکیده
منابع مشابه
Sampling formulae arising from random Dirichlet populations
Consider the random Dirichlet partition of the interval into n fragments at temperature θ > 0. Some statistical features of this random discrete distribution are recalled, together with explicit results on the law of its size-biased permutation. Using these, pre-asymptotic versions of the Ewens and Donnelly-Tavaré-Griffiths sampling formulae from finite Dirichlet partitions are computed exactly...
متن کاملRandom Sampling Using Shannon Interpolation and Poisson Summation Formulae
This report mainly focused on the basic concepts and the recovery methods for the random sampling. The recovery methods involve the orthogonal matching pursuit algorithm and the gradient-based total variation strategy. In particular, a fast and efficient observation matrix filling technique was implemented by the classic Shannon interpolation and Poisson summation formulae. The numerical result...
متن کاملSampling schemes for generalized linear Dirichlet process random effects models
We evaluate MCMC sampling schemes for a variety of link functions in generalized linear models with Dirichlet process random effects. First, we find that there is a large amount of variability in the performance of MCMC algorithms, with the slice sampler typically being less desirable than either a Kolmogorov-Smirnov mixture representation or a MetropolisHastings algorithm. Second, in fitting t...
متن کاملSampling Schemes for Generalized Linear Dirichlet Random Effects Models
We evaluate MCMC sampling schemes for a variety of link functions in generalized linear models with Dirichlet random effects. We find that there is a large amount of variability in the performance of MCMC algorithms, with the slice sampler typically being less optimal than either a Kolmogorov-Smirnov mixture representation or a Metropolis-Hastings algorithm. In fitting the the Dirichlet process...
متن کاملSampling From Finite Populations
The statistical objective in survey research and in a number of other applications is generally to estimate the parameters of a finite population rather than to estimate the parameters of a statistical model. As an example, the finite population for a survey conducted to estimate the unemployment rate might be all adults aged 18 or older living in a country at a given date. If valid estimates o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Statistics - Theory and Methods
سال: 2005
ISSN: 0361-0926,1532-415X
DOI: 10.1081/sta-200056809