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Updated: April 5th, 2024 10:03

2023 journal article

Posterior contraction and testing for multivariate isotonic regression

*ELECTRONIC JOURNAL OF STATISTICS*, *17*(1), 798–822.

UN Sustainable Development Goal Categories

4. Quality Education
(Web of Science)

Source: Web Of Science

Added: May 15, 2023

2022 journal article

BAYESIAN INFERENCE ON MULTIVARIATE MEDIANS AND QUANTILES

*STATISTICA SINICA*, *32*(1), 517–538.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: January 18, 2022

2022 article

Discussion of "Confidence Intervals for Nonparametric Empirical Bayes Analysis" by Ignatiadis and Wager

Ghosal, S. (2022, September 14). *JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION*, Vol. 117, pp. 1171–1174.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: October 24, 2022

2022 journal article

Rates and coverage for monotone densities using projection-posterior

*BERNOULLI*, *28*(2), 1093–1119.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: March 28, 2022

2022 journal article

Two-step Bayesian methods for generalized regression driven by partial differential equations

*BERNOULLI*, *28*(3), 1625–1647.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: May 23, 2022

2021 journal article

Bayesian estimation of sparse precision matrices in the presence of Gaussian measurement error

*ELECTRONIC JOURNAL OF STATISTICS*, *15*(2), 4545–4579.

author keywords: High-dimensional inference; Gaussian graphical model; measurement error; posterior contraction rate; sparsity

TL;DR:
This paper incorporates measurement error in the context of estimating a sparse, high-dimensional precision matrix for a Gaussian graphical model with data corrupted by Gaussian measurement error with unknown variance and establishes a general result which gives sufficient conditions under which the posterior contraction rates that hold in the no-measurement-error case carry over to the measurement- error case.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Web Of Science, NC State University Libraries

Added: February 28, 2022

2021 journal article

Posterior contraction in sparse generalized linear models

*BIOMETRIKA*, *108*(2), 367–379.

author keywords: Fractional posterior; Generalized linear model; High-dimensional regression; Posterior contraction rate; Sparsity-inducing prior

TL;DR:
This work studies posterior contraction rates in sparse high-dimensional generalized linear models using priors incorporating sparsity, and shows that Bayesian methods achieve convergence properties analogous to lasso-type procedures.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: July 12, 2021

2021 journal article

Unified Bayesian theory of sparse linear regression with nuisance parameters

*ELECTRONIC JOURNAL OF STATISTICS*, *15*(1), 3040–3111.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: June 28, 2021

2020 journal article

Bayesian linear regression for multivariate responses under group sparsity

*BERNOULLI*, *26*(3), 2353–2382.

author keywords: Bayesian variable selection; covariance matrix; group sparsity; multivariate linear regression; posterior contraction rate; Renyi divergence; spike-and-slab prior

TL;DR:
The posterior contraction rate is derived using the general theory by constructing a suitable test from the first principle using moment bounds for certain likelihood ratios, which leads to posterior concentration around the truth with respect to the average Renyi divergence of order 1/2.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: May 18, 2020

2020 journal article

Posterior contraction and credible sets for filaments of regression functions

*ELECTRONIC JOURNAL OF STATISTICS*, *14*(1), 1707–1743.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: August 3, 2020

2019 journal article

Bayesian Semiparametric ROC surface estimation under verification bias

*Computational Statistics & Data Analysis*, *133*, 40–52.

author keywords: ROC surface; Verification bias correction; Trinormal model; MAR assumption

TL;DR:
A Bayesian approach for estimating the ROC surface is proposed based on continuous data under a semi-parametric trinormality assumption and is applied to evaluate the performance of CA125 and HE4 in the diagnosis of epithelial ovarian cancer (EOC) as a demonstration.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

5. Gender Equality
(Web of Science)

Sources: Crossref, Web Of Science

Added: March 25, 2019

2019 journal article

Multivariate Gaussian network structure learning

*Journal of Statistical Planning and Inference*, *199*, 327–342.

author keywords: Graphical model; Group penalty; Multivariate normal; Rate of convergence

TL;DR:
This work considers a graphical model where a multivariate normal vector is associated with each node of the underlying graph and estimates the graphical structure and shows the superiority of the proposed method over comparable procedures.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Crossref, Web Of Science

Added: November 5, 2018

2018 journal article

Bayesian Discriminant Analysis Using a High Dimensional Predictor

*Sankhya A*, *80*(S1), 112–145.

author keywords: Discriminant analysis; High dimensional predictor; Posterior concentration; Shrinkage prior; Sparsity

TL;DR:
This work considers the problem of Bayesian discriminant analysis using a high dimensional predictor and obtains the contraction rate of the posterior distribution for the mean and the precision matrix respectively using the Euclidean and the Frobenius distance.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

10. Reduced Inequalities
(OpenAlex)

Sources: Crossref, Web Of Science

Added: July 15, 2019

2018 journal article

Bayesian non-parametric simultaneous quantile regression for complete and grid data

*Computational Statistics & Data Analysis*, *127*, 172–186.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Crossref

Added: January 19, 2020

2017 journal article

Analyzing ozone concentration by Bayesian spatio-temporal quantile regression

*Environmetrics*, *28*(4), e2443.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Crossref

Added: January 19, 2020

2017 journal article

Bayesian inference for higher-order ordinary differential equation models

*Journal of Multivariate Analysis*, *157*, 103–114.

author keywords: Bayesian inference; Bernstein-von Mises theorem; Higher order ordinary differential equation; Runge-Kutta method; Spline smoothing

TL;DR:
Bernstein-von Mises theorems are established for the posterior distribution of the parameter vector for each method with $n^{-1/2}$ contraction rate and they are applied to the higher order ODE model.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Crossref

Added: January 19, 2020

2017 journal article

Bayesian quantile regression using random B-spline series prior

*Computational Statistics & Data Analysis*, *109*, 121–143.

author keywords: B-spline prior; Gaussian process; Quantile regression; Atlantic Hurricane data; US population data

TL;DR:
The proposed Bayesian method is extended to multidimensional predictors such that the quantile regression depends on the predictors through an unknown linear combination only.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Crossref

Added: January 19, 2020

2017 journal article

Median Analysis of Repeated Measures Associated with Recurrent Events in Presence of Terminal Event

*INTERNATIONAL JOURNAL OF BIOSTATISTICS*, *13*(1).

author keywords: recurrent events; quantile regression; informative censoring; estimating equations; survival analysis

MeSH headings : Computer Simulation; Female; Follow-Up Studies; Humans; Models, Statistical; Ovarian Neoplasms / economics; Ovarian Neoplasms / therapy; Recurrence; Research Design

TL;DR:
A semiparametric model for assessing the effect of covariates on the quantiles of the point processes is proposed and both the finite sample as well as the large sample properties of the proposed estimators are investigated.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science; OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2017 journal article

Posterior Contraction Rates of Density Derivative Estimation

*Sankhya A*, *79*(2), 336–354.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Crossref

Added: January 19, 2020

2016 journal article

Forward selection and estimation in high dimensional single index models

*Statistical Methodology*, *33*, 172–179.

author keywords: Forward selection; High dimension; Sparsity; Single index model; Penalization; Variable selection

TL;DR:
A new penalized forward selection technique which can reduce highdimensional optimization problems to several one dimensional optimization problems by choosing the best predictor and then iterating the selection steps until convergence is proposed.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Crossref, Web Of Science

Added: August 6, 2018

2016 journal article

Sparse Penalized Forward Selection for Support Vector Classification

*Journal of Computational and Graphical Statistics*, *25*(2), 493–514.

author keywords: High dimension; Penalization; Sparsity; SVM; Variable selection

TL;DR:
Comparison of the proposed new classification rule with ℓ1-SVM and other common methods show very promising performance, in that the proposed method leads to much leaner models without compromising misclassification rates, particularly for high-dimensional predictors.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

16. Peace, Justice and Strong Institutions
(OpenAlex)

Source: Crossref

Added: January 19, 2020

2015 journal article

Bayesian structure learning in graphical models

*Journal of Multivariate Analysis*, *136*, 147–162.

author keywords: Graphical lasso; Graphical models; Laplace approximation; Posterior convergence; Precision matrix

TL;DR:
This paper considers the problem of estimating a sparse precision matrix of a multivariate Gaussian distribution, where the dimension p may be large, and proposes a fast computational method for approximating the posterior probabilities of various graphs using the Laplace approximation approach.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Crossref

Added: January 19, 2020

2015 journal article

Prediction consistency of forward iterated regression and selection technique

*Statistics & Probability Letters*, *107*, 79–83.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Crossref, Web Of Science

Added: August 6, 2018

2015 journal article

Special issue on Bayesian nonparametrics

*Journal of Statistical Planning and Inference*, *166*, 1.

Source: Crossref

Added: January 19, 2020

2014 journal article

Bayesian ROC curve estimation under verification bias

*Statistics in Medicine*, *33*(29), 5081–5096.

author keywords: binormal model; MAR assumption; posterior consistency; ROC curve; verification bias-correction

MeSH headings : Bayes Theorem; Bias; Computer Simulation; Data Interpretation, Statistical; Humans; Markov Chains; Models, Biological; Monte Carlo Method; Patient Selection; ROC Curve; Regression Analysis

TL;DR:
A new Bayesian approach for estimating an ROC curve based on continuous data following the popular semiparametric binormal model in the presence of verification bias is proposed and it is concluded that the estimator performs well in terms of accuracy.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

5. Gender Equality
(Web of Science)

Source: Crossref

Added: April 10, 2022

2014 journal article

Bayesian variable selection in generalized additive partial linear models

*Stat*, *3*(1), 363–378.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Crossref

Added: April 10, 2022

2014 journal article

Fast Bayesian model assessment for nonparametric additive regression

*Computational Statistics & Data Analysis*, *71*, 347–358.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Crossref, Web Of Science

Added: August 6, 2018

2014 chapter

Multiple Testing Approaches for Removing Background Noise from Images

In *Springer Proceedings in Mathematics & Statistics* (pp. 95–104).

Source: Crossref

Added: April 10, 2022

2013 journal article

Denoising three-dimensional and colored images using a Bayesian multi-scale model for photon counts

*Signal Processing*, *93*(11), 2906–2914.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

7. Affordable and Clean Energy
(OpenAlex)

Source: Crossref

Added: April 10, 2022

2013 journal article

Finite skew-mixture models for estimation of positive false discovery rates

*Statistical Methodology*, *10*(1), 46–57.

author keywords: Multiple testing; p-value density; Shape restriction

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Crossref

Added: April 10, 2022

2013 journal article

Iterative selection using orthogonal regression techniques

*Statistical Analysis and Data Mining*, *6*(6), 557–564.

author keywords: forward selection; orthogonalization; high dimensional regression; LASSO

TL;DR:
The new strategy, called the Selection Technique in Orthogonalized Regression Models (STORM), turns out to be extremely successful in reducing the model dimension further and also leads to improved predicting power.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Crossref

Added: April 10, 2022

2012 journal article

OPTIMAL TWO-STAGE PROCEDURES FOR ESTIMATING LOCATION AND SIZE OF THE MAXIMUM OF A MULTIVARIATE REGRESSION FUNCTION

*ANNALS OF STATISTICS*, *40*(6), 2850–2876.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Web Of Science

Added: March 22, 2021

2010 journal article

The <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math>-consistency of Dirichlet mixtures in multivariate Bayesian density estimation

*Journal of Multivariate Analysis*, *101*(10), 2411–2419.

author keywords: Posterior consistency; Dirichlet process; Mixture; Posterior consistency; Posterior distribution; Kullback-Leibler property; Multivariate; Density estimation

TL;DR:
The L"1-consistency of Dirichlet mixutures in the multivariate density estimation setting is extended and the Kullback-Leibler property of the prior holds and the size of the sieve in the parameter space in terms of L" 1-metric entropy is not larger than the order of n.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Source: Crossref

Added: April 10, 2022

2009 journal article

Bayesian ROC curve estimation under binormality using a rank likelihood

*Journal of Statistical Planning and Inference*, *139*(6), 2076–2083.

author keywords: Binormal model; MCMC; Rank-based likelihood; ROC curve; Posterior consistency

TL;DR:
This paper proposes a conceptually simple and computationally feasible Bayesian estimation method using a rank-based likelihood and concludes that the estimator generally performs better than its competitors.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

5. Gender Equality
(Web of Science)

Source: Crossref

Added: April 10, 2022

2009 journal article

Convergence properties of sequential Bayesian D-optimal designs

*Journal of Statistical Planning and Inference*, *139*(2), 425–440.

author keywords: Adaptive designs; Asymptotic normality; Discrete optimal design; Dose-response; Posterior convergence

TL;DR:
For sequential D-optimality under a general nonlinear location-scale model for binary experiments, posterior consistency, consistency of the design measure, and the asymptotic normality of posterior following the design are established.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

2. Zero Hunger
(Web of Science)

Sources: Crossref, Web Of Science

Added: August 6, 2018

2008 journal article

Bayesian bootstrap estimation of ROC curve

*Statistics in Medicine*, *27*(26), 5407–5420.

author keywords: area under the curve (AUC); Bayesian bootstrap; integrated absolute error; ROC Curve; testing binormality

MeSH headings : Bayes Theorem; Computer Simulation; Data Interpretation, Statistical; Diagnostic Tests, Routine / methods; Humans; Models, Statistical; Predictive Value of Tests; Prognosis; ROC Curve; Research Design; Software; Statistics, Nonparametric

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

5. Gender Equality
(Web of Science)

10. Reduced Inequalities
(OpenAlex)

Sources: Crossref, Web Of Science

Added: August 6, 2018

2008 journal article

Strong approximations for resample quantile processes and application to ROC methodology

*Journal of Nonparametric Statistics*, *20*(3), 229–240.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Crossref, Web Of Science

Added: August 6, 2018

2007 journal article

A consistent nonparametric Bayesian procedure for estimating autoregressive conditional densities

*Computational Statistics & Data Analysis*, *51*(9), 4424–4437.

author keywords: Dirichlet process mixture models; posterior consistency; no-gaps algorithm

TL;DR:
A Bayesian infinite mixture model for the estimation of the conditional density of an ergodic time series that can approximate any linear autoregressive model arbitrarily closely while imposing no constraint on parameters to ensure stationarity is proposed.
(via Semantic Scholar)

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Crossref, Web Of Science

Added: August 6, 2018

2007 journal article

Nonparametric binary regression using a Gaussian process prior

*Statistical Methodology*, *4*(2), 227–243.

Source: Crossref

Added: April 10, 2022

2007 journal article

Posterior consistency of Dirichlet mixtures for estimating a transition density

*Journal of Statistical Planning and Inference*, *137*(6), 1711–1726.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: Crossref, Web Of Science

Added: August 6, 2018

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