Journal ArticleDOI
Teaching Singular Distributions to Undergraduates
TLDR
In this article, a representation for singular distributions in two dimensions is given, which is used to characterize the types of marginal distributions that members of this class can have, and a representation is given that makes the construction of a class of singular distributions of two dimensions simple to carry out.Abstract:
Singular distributions are seldom covered in undergraduate probability courses, although they are of interest in statistics and, as is shown by example, can easily arise through extending mixed discrete and continuous distributions to two or more dimensions. A representation is given that makes the construction of a class of singular distributions in two dimensions simple to carry out. This representation is also used to characterize the types of marginal distributions that members of this class can have.read more
Citations
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Proceedings ArticleDOI
Adaptive population importance samplers: A general perspective
TL;DR: The underlying motivation for the different adaptation schemes is interpreted, opening the door for novel and more efficient algorithms.
Journal ArticleDOI
Accent on Teaching Materials: A Bibliography on the Teaching of Probability and Statistics
Journal ArticleDOI
Mixed Discrete-Continuous Bayesian Inference: Censored Measurements of Sparse Signals
TL;DR: The result provides a unified Bayesian-inference framework and leads to closed-form solutions for the inference problem, numerical results, and the analysis of the probability of censorship.
References
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Book
The theory of functions
TL;DR: Alfaro et al. as mentioned in this paper conservado en la Biblioteca del Campus de Mostoles de la Universidad Rey Juan Carlos (sign. 517.5 TIT THE).
Book ChapterDOI
A Class of Statistics with Asymptotically Normal Distribution
TL;DR: In this article, the authors considered the problem of estimating a U-statistic of the population characteristic of a regular functional function, where the sum ∑″ is extended over all permutations (α 1, α m ) of different integers, 1 α≤ (αi≤ n, n).