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The Annals of Statistics, ISSN 0090-5364, 4/2009, Volume 37, Issue 2, pp. 905 - 938
Journal Article
ISSN 0090-5364, 2018
We consider the statistical inverse problem of recovering a function $f: M \to \mathbb R$, where $M$ is a smooth compact Riemannian manifold with boundary,... 
62G20 (Primary), 58J40, 65R10, 62F15 (Secondary) | stat.TH | math.ST | stat.ME | math.AP
Journal Article
The Annals of Statistics, ISSN 0090-5364, 6/2004, Volume 32, Issue 3, pp. 870 - 897
Journal Article
Bulletin of the Australian Mathematical Society, ISSN 0004-9727, 2018, Volume 99, Issue 2, pp. 349 - 352
Journal Article
Experimental Mathematics, ISSN 1058-6458, 07/2018, Volume 27, Issue 3, pp. 277 - 286
Many questions in experimental mathematics are fundamentally inductive in nature. Here we demonstrate how Bayesian inference-the logic of partial beliefs-can... 
Bayes factor | evidence accumulation | normality | 62F15 | MATHEMATICS | DIGITS
Journal Article
Bulletin of Mathematical Biology, ISSN 0092-8240, 3/2019, Volume 81, Issue 3, pp. 639 - 675
Journal Article
Bayesian Analysis, ISSN 1936-0975, 2011, Volume 6, Issue 2, pp. 357 - 358
Journal Article
The Annals of Statistics, ISSN 0090-5364, 12/2008, Volume 36, Issue 6, pp. 2818 - 2849
Journal Article
Annals of Statistics, ISSN 0090-5364, 08/2006, Volume 34, Issue 4, pp. 1581 - 1619
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 02/2017, Volume 46, Issue 3, pp. 1230 - 1246
Journal Article
Communications in Statistics - Simulation and Computation, ISSN 0361-0918, 11/2016, Volume 45, Issue 10, pp. 3508 - 3527
Viewing the future order statistics as latent variables at each Gibbs sampling iteration, several Bayesian approaches to predict future order statistics based... 
Primary 62F15, 62F25 | Bayes prediction | Gibbs schemes | Metropolis-Hastings algorithm | secondary 62P10 | DISTRIBUTIONS | Primary 62F15 | STATISTICS & PROBABILITY | EXPONENTIAL-DISTRIBUTION | SAMPLES | 62F25 | Economic models | Statistics | Monte Carlo simulation | Intervals | Statistical analysis | Computer simulation | Samples | Statistical methods | Sampling | Bayesian analysis
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 09/2017, Volume 46, Issue 18, pp. 9026 - 9041
Journal Article
Communications in Statistics - Simulation and Computation, ISSN 0361-0918, 10/2016, Volume 45, Issue 9, pp. 3238 - 3258
Bayesian inference for fractionally integrated exponential generalized autoregressive conditional heteroscedastic (FIEGARCH) models using Markov chain Monte... 
MCMC | Long-range dependence | Bayesian inference | FIEGARCH processes | 62F15; 62M10 | 62M10 | AUTOREGRESSIVE CONDITIONAL HETEROSKEDASTICITY | GIBBS SAMPLER | LONG-MEMORY | STATISTICS & PROBABILITY | VOLATILITY | 62F15 | Bayesian analysis | Monte Carlo simulation | Monte Carlo methods | Innovation | Parameters | Computer simulation | Markets | Mathematical models | Statistical methods
Journal Article
JOURNAL OF SCIENTIFIC COMPUTING, ISSN 0885-7474, 08/2019, Volume 80, Issue 2, pp. 762 - 783
In recent investigations, the problem of detecting edges given non-uniform Fourier data was reformulated as a sparse signal recovery problem with an... 
MATHEMATICS, APPLIED | 62J05 | 65F22 | RECONSTRUCTION | Signal reconstruction | 94A12 | Edge detection | Non-uniform Fourier data | Sparse Bayesian learning | Regularization | 62F15 | Algorithms
Journal Article
Annals of Statistics, ISSN 0090-5364, 08/2017, Volume 45, Issue 4, pp. 1664 - 1693
We consider nonparametric Bayesian inference in a reflected diffusion model dX(t) = b(X-t) dt + sigma(Xt) dW(t), with discretely sampled observations X-0,... 
Bayesian inference | Nonlinear inverse problem | Diffusion model | PRIORS | MARKOV-CHAINS | INEQUALITY | STATISTICS & PROBABILITY | SUPREMA | INFERENCE | DISTRIBUTIONS | diffusion model | MODELS | INVERSE PROBLEMS | DRIFT ESTIMATION | CONVERGENCE-RATES
Journal Article
Annals of Statistics, ISSN 0090-5364, 08/2018, Volume 46, Issue 4, pp. 1630 - 1663
Consider a Bayesian situation in which we observe Y similar to p(theta), where theta is an element of Theta and we have a family {vh, h is an element of H} of... 
Hyperparameter selection | Geometric ergodicity | Regenerative simulation | Latent Dirichlet allocation model | Donsker class | REGRESSION | hyperparameter selection | latent Dirichlet allocation model | ESTIMATORS | STATISTICS & PROBABILITY | geometric ergodicity | regenerative simulation | VARIABLE SELECTION | CHAIN MONTE-CARLO
Journal Article
Statistics and Computing, ISSN 0960-3174, 11/2016, Volume 26, Issue 6, pp. 1173 - 1185
Journal Article
Electronic Journal of Statistics, ISSN 1935-7524, 2014, Volume 8, Issue 1, pp. 2111 - 2137
We consider Bayesian estimation of a p x p precision matrix, when p can be much larger than the available sample size n. It is well known that consistent... 
Convergence rate | G-Wishart | Precision matrix | WISHART DISTRIBUTIONS | LARGE COVARIANCE MATRICES | LASSO | STATISTICS & PROBABILITY | convergence rate | SELECTION | LIKELIHOOD
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 04/2017, Volume 46, Issue 8, pp. 3949 - 3956
The problem of constructing the equal-tailed and shortest Bayesian tolerance intervals that control percentages in both tails of the exponential distribution... 
shortest Bayesian tolerance interval | Exponential distribution | k-Record data | 62F25 | 62F15
Journal Article
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