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On the Consistency of Bayes Estimates
The Annals of Statistics, 1986 The authors of this special invited paper give the following summary: ''We discuss frequency properties of Bayes rules, paying special attention to consistency. Some new and fairly natural counterexamples are given, involving nonparametric estimates of location.
Diaconis, Persi, Freedman, David
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Interval Estimation Naïve Bayes [PDF]
, 2003 Recent work in supervised learning has shown that a surprisingly simple Bayesian classifier called naïve Bayes is competitive with state of the art classifiers. This simple approach stands from assumptions of conditional independence among features given the class.
Robles Forcada, Víctor +4 more
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Cumhuriyet Science Journal, 2020 Chen is suggested a two-parameter distribution. This distribution can have increasing failure rate function or a bathtub-shaped that allows it to fit real lifetime data sets.
Kerem Gencer, Gülcan Gencer
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An improved Bayes empirical Bayes estimator [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 Consider an experiment yielding an observable random quantity X whose distribution Fθ depends on a parameter θ with θ being distributed according to some distribution G0. We study the Bayesian estimation problem of θ under squared error loss function based on X, as well as some additional data available from other similar experiments according to an ...
R. J. Karunamuni, N. G. N. Prasad
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Merging expert and empirical data for rare event frequency estimation : pool homogenisation for empirical Bayes models [PDF]
, 2011 Empirical Bayes provides one approach to estimating the frequency of rare events as a weighted average of the frequencies of an event and a pool of events. The pool will draw upon, for example, events with similar precursors.
Lesley Walls +7 more
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AIP Advances, 2023 Recently, the generalized half-normal distribution with decreasing, increasing, and bathtub hazard function shapes was proposed, making it a more applicable, reliable, and flexible lifespan model.
Ahmed Elshahhat +2 more
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Axioms, 2023 This paper deals with the statistical inference of the unknown parameter and some life parameters of inverse Lindley distribution under the assumption that the data are adaptive Type-II progressively censored.
Refah Alotaibi +2 more
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The Annals of Mathematical Statistics, 1967 Throughout this paper we are concerned with the problem of estimating a real parameter when the loss function is such that the Bayes estimate exists, is unique, and satisfies a simple Equation, (1.5). If the estimate is unbiased (in the general sense of Lehmann [3]) we show under weak conditions that it must satisfy another Equation, (1.14).
Bickel, Peter J., Blackwell, David
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Empirical Bayes and Full Bayes for Signal Estimation
CoRR, 2014 We consider signals that follow a parametric distribution where the parameter values are unknown. To estimate such signals from noisy measurements in scalar channels, we study the empirical performance of an empirical Bayes (EB) approach and a full Bayes (FB) approach.
Yanting Ma +3 more
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Nonparametric Bayes-risk estimation [PDF]
IEEE Transactions on Information Theory, 1971 Two nonparametric methods to estimate the Bayes risk using classified sample sets are described and compared. The first method uses the nearest neighbor error rate as an estimate to bound the Bayes risk. The second method estimates the Bayes decision regions by applying Parzen probability-density function estimates and counts errors made using these ...
Stanley C. Fralick, Richard W. Scott
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