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Journal ArticleDOI

Mixture reduction via predictive scores

Robert G. Cowell
- 01 Jun 1998 - 
- Vol. 8, Iss: 2, pp 97-103
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TLDR
This paper explores the problem of reducing a mixture of conjugate priors to a smaller mixture, from the perspective of the application of a distance measure between priors, and emerges that for mixtures of β-distributions a simple moment-matching reduction procedure is optimal and very good for the more general case of Dirichlet mixtures.
Abstract
This paper explores the problem of reducing a mixture of conjugate priors to a smaller mixture, from the perspective of the application of a distance measure between priors. The analysis focuses on mixtures of Dirichlet priors, but it has wider applicability. In respect to the proposed scheme, it emerges that for mixtures of β-distributions a simple moment-matching reduction procedure is optimal and very good for the more general case of Dirichlet mixtures.

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Citations
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A comparative study of parametric mortality projection models

TL;DR: In this article, the relative merits of different parametric models for making life expectancy and annuity value predictions at both pensioner and adult ages are investigated, and the extent to which these enhancements address the deficiencies that have been identified of some of the models.
Proceedings Article

Bayesian reputation modeling in E-marketplaces sensitive to subjecthity, deception and change

TL;DR: By modeling seller properties and advisor evaluation functions as dynamic random variables, buyers can progressively learn a probabilistic model that naturally and "correctly" calibrates the interpretation of seller evaluations without having to resort to heuristics to explicitely detect and filter/discount unreliable seller evaluations.
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On simulation-based approaches to risk measurement in mortality with specific reference to Poisson Lee-Carter modelling

TL;DR: In this article, a comparative study of simulation strategies for assessing risk in mortality rate prediction and associated estimates of life expectancy and annuity values in both period and cohort frameworks is presented.
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Modelling the joint distribution of competing risks survival times using copula functions

TL;DR: How different choices of the copula function affect the resulting joint distribution of survival times and in particular the actuarial functions which are of importance in pricing life insurance and annuity products is investigated.
Journal ArticleDOI

Identification and separation of DNA mixtures using peak area information

TL;DR: In this paper, a new methodology based on probabilistic expert systems was proposed for forensic identification problems involving DNA mixture traces using quantitative peak area information. But the potential of this methodology is illustrated on case data examples and compared with alternative approaches.
References
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Book

Bayesian Data Analysis

TL;DR: Detailed notes on Bayesian Computation Basics of Markov Chain Simulation, Regression Models, and Asymptotic Theorems are provided.
Book

Statistical analysis of finite mixture distributions

TL;DR: This course discusses Mathematical Aspects of Mixtures, Sequential Problems and Procedures, and Applications of Finite Mixture Models.
Journal ArticleDOI

Sequential updating of conditional probabilities on directed graphical structures

TL;DR: It is shown how one can introduce imprecision into such probabilities as a data base of cases accumulates and how to take advantage of a range of well-established statistical techniques.
Journal ArticleDOI

Approximating posterior distributions by mixtures

TL;DR: Kernel density estimation techniques are used to smooth simulated samples from importance sampling function approximation to posterior distributions, resulting in revised approximations that are mixtures of standard parametric forms, usually multivariate normal or T-distributions.
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