**Submitted/being revised**

J. P. Williams, Y. Xie, **J. Hannig**, The EAS approach for graphical selection con- sistency in vector autoregression models

E.L. Boone, **J. Hannig**, R. Ghanam, S. Ghosh, F. Ruggeri and S. Prudhomme,

Model validation of a single degree-of-freedom oscillator: a case study.

X. Yang,** J. Hannig, **J.S. Marron, Visual High Dimensional Hypothesis Testing,

Y. Cui and **J. Hannig,** M. R. Kosorok A unified fiducial approach to interval-censored

data

Y. Cui and **J. Hannig,** A fiducial approach to nonparametric deconvolution problem:

discrete case

Y. Su, **J. Hannig**, T.C.M. Lee, Uncertainty Quantification in Graphon Estimation

J. P. Williams, Y. Xie, **J. Hannig**, The EAS approach for graphical selection consistency in vector autoregression models

S. Lu and **J. Hannig**, Gender Wage Gap Of Assistant Professors in US Public Universities

J. P. Williams, D. M. Ommen and **J. Hannig**, Generalized fiducial factor: an alternative to the Bayes factor for forensic identification of source problems.

J. B. Prothero, **J. Hannig **and J.S. Marron, New Perspective on Centering

**In Press**

S. Wu, J**. Hannig**, T.C.M. Lee, Uncertainty Quantification for Honest Regression

Trees, to appear in *Computational Statistics and Data Analysis*.

**J. Hannig** and H. Iyer, Testing For Calibration Discrepancy of Reported Likelihood

Ratios in Forensic Science, to appear in *Journal of the Royal Statistical Society: Series
A (Statistics in Society)*. doi:10.1111/rssa.12747

Randy C. S. Lai, **J. Hannig** and Thomas C. M. Lee, Method G: Uncertainty Quantification

for Distributed Data Problems using Generalized Fiducial Inference, to appear

in *Journal of Computational and Graphical Statistics*. doi:10.1080/10618600.2021.1923514

W. J. Shi,** J. Hannig**, R. C. S. Lai, T. C. M. Lee, Covariance estimation via

fiducial inference, to appear in *Statistical Theory and Related Fields*. doi:10.1080/24754269.2021.1877950

I. Carmichael, B. C. Calhoun, K. A. Hoadley, M. A. Troester, J. Geradts, H. D.

Couture, L. Olsson, C. M. Perou, M. Niethammer, **J. Hannig **and J.S. Marron, Joint

and individual analysis of breast cancer histologic images and genomic covariates, to

appear in Annals of Applied Statistics.

**2021**

W, Li, **J. Hannig **and C. D. Jones (2021), A Note on Optimal Sampling Strategy for

Structural Variant Detection Using Optical Mapping, Communications in Statistics,

50, pp. 4763-4777. doi:10.1080/03610926.2020.1723638

W. Li, **J. Hannig** and S. Mukherjee (2021), Subspace Clustering through Sub-Clusters,*Journal of Machine Learning Research*, **22**, 53.

S. Wu, **J. Hannig**, T.C.M. Lee (2021), Uncertainty Quantification for Sparse High

Dimensional Principal Component Regression,* Electronic Journal of Statistics*, **15,**

pp. 2157-2178. doi:10.1214/21-EJS1837

S. D. Neupert, C. M. Growney, X. Zhu, J. K. Sorensen, E. L. Smith and **J. Hannig**

(2021), BFF: Bayesian, Fiducial, and Frequentist Analysis of Cognitive Engagement

among Cognitively Impaired Older Adults, *Entropy*, **23**, 428. doi:10.3390/e23040428

Y. Zou, **J. Hannig** and D. S Young (2021), Generalized fiducial inference on the

mean of zero-inflated Poisson and Poisson hurdle models, *Journal of Statistical Distributions and Applications*, **8**, 5. doi:10.1186/s40488-021-00117-0

**2020**

G. Li and **J. Hannig** (2020), Deep fiducial inference, *STAT,* **9**, e308. doi:10.1002/sta4.308

J.P. Williams, C.B. Storlie, T. M. Therneau, C. R. Jack Jr. and **J. Hannig** (2020), A Bayesian Approach to Multi-State Hidden Markov Models: Application to Dementia Progression, *Journal of American statistical Association*, **115**, pp. 16-31, doi:10.1080/01621459.2019.1594831

S.D. Neupert and **J. Hannig **(2020), BFF: Bayesian, Fiducial, Frequentist Analysis of Age Effects in Daily Diary Data, *Journal of Gerontology: Psychological Sciences*,** 75,** pp. 67-79 doi:10.1093/geronb/gbz100

**2019**

Y. Cui and **J. Hannig** (2019), Nonparametric generalized fiducial inference for survival functions under censoring with discussion and rejoinder by the authors, *Biometrika, 106, pp. 501-51. *doi:10.1093/biomet/asz016

Y. Liu, **J. Hannig **and A. Pal Majumder (2019), Second-Order Probability Matching Priors for the Person Parameter in Unidimensional IRT Models, Psychometrika, **84**, pp. 701-718. doi:10.1007/s11336-019-09675-4

K. Hindberg, **J. Hannig**, F. Godtliebsen (2019), A novel scale-space approach for multinormality testing and the k-sample problem in the high dimension low sample size scenario*. PLoS ONE*, **14(**1): e0211044A. doi:10.1371/journal.pone.0211044

J. P. Williams and **J. Hannig **(2019), Non-penalized variable selection in high- dimensional linear model settings via generalized fiducial inference, *Annals of Statistics*, **47**, pp. 1723-1753. doi:10.1214/18-AOS1733

S. Almada Monter, A. Budhiraja, and **J. Hannig **(2018), Source detection algorithms for dynamic contaminants based on the analysis of a hydrodynamic limit, *SIAM Journal Applied Math*, **78,** pp. 2279-2625. doi:10.1137/15M1044497

**J. Hannig** (2019), Discussion of ”Prior-based Bayesian Information Criterion (PBIC)” by Bayarri et al, Statistical Theory and Related Fields, 3, pp. 30-31. doi:10.1080/24754269.2019.1611144

**2018**

Q. Feng, **J. Hannig**, M. Jiang and J. S. Marron (2018), Angle-Based Joint and Individual Variation Explained, *Journal of Multivariate Analysis, ***166**, pp. 241-265.

**J. Hannig,** Q. Feng, H. Iyer, J. Wang, X. Liu (2018), Fusion learning for Inter-laboratory Comparisons, *Journal of Statistical Planning and Inference*, **195**, pp. 64-79.

**2017**

Y. Liu and **J. Hannig** (2017), Generalized fiducial inference for logistic graded response models, *Psychometrika.* **82**, pp. 1097-1125.

**J. Hannig**, (2017) Discussion of "Beyond objective and subjective in statistics?" by Gelman and Hennig, Journal of Royal Statistical Society Ser. B, 180. p. 1009.

**2016**

L. Liao, C. Park, **J. Hannig**, K.-H. Kang (2016), Autocovariance Function Estimation via Penalized Regression, *Journal of Computational and Graphical Statistics, 25, pp. 1041-1056.* with supplementary document.

**J. Hannig**, H. Iyer, R. C. S. Lai and T. C. M. Lee (2016), Generalized Fiducial Inference: A Reviev and New Results, *Journal of American Statistical Association*, **111**, pp. 1346-1361 with supplementary document.

C. Liu, X. Xu and **J. Hannig** (2016), Least squares generalized inferences in unbalanced two-component normal mixed linear model, *Computational Statistics*, **31,** pp. 973- 988.

Y. Liu and **J. Hannig **(2016)**,** Generalized Fiducial Inference for Binary Logistic Item Response Models, *Psychometrika*, **81**, pp. 290-324.

P. Borysov, **J. Hannig**, J.S. Marron, E. Muratov, D. Fourches and A. Tropsha (2016), Activity Prediction and Identification of Mis-annotated Chemical Compounds Using Extreme Descriptors, *Chemometrics*, **30**, pp. 99 – 108.

Q. Feng, J. Hannig, J.S. Marron (2016), A Note on Automatic Data Transformation, *STAT*, **5**, pp. 82 – 87.

**2015**

M. Heller, **J. Hannig**, M. R. Leadbetter (2015), Optimal sample planning for system state analysis with partial data collection, * STAT, ***4**, pp. 69 – 80.

R. C. S. Lai, **J. Hannig** and T. C. M. Lee (2015), Generalized Fiducial Inference for Ultrahigh Dimensional Regression, *Journal of American Statistical Association*, **110**, pp. 760 – 772

S. Bhamidi, **J. Hannig**, C. Y. Lee and J. Nolen (2015), The importance sampling technique for understanding rare events in Erdos-Renyi random graphs,* Electronic Journal of Probability*, **20**, Article 107, pp. 1–30.

**2014**

**J. Hannig** (2014), Discussion of ``On the Birnbaum Argument for the Strong Likelihood Principle'' by D. G. Mayo, *Statistical Science*, **29**, pp. 254 --258.

P. Borysov, **J. Hannig**, J. S. Marron (2014), Asymptotics of Hierarchical Clustering for Growing Dimension *Journal of Multivariate Analysis, ***124,** pp. 465 – 479.

C. Park,** J. Hannig** and K-H. Kang (2014), Nonparametric Comparison of Multiple Regression Curves in Scale-Space

D. L. Sonderegger and **J. Hannig** (2014), Fiducial theory for free-knot spline in *Contemporary Developments in Statistical Theory, a Festschrift in honor of Professor Hira L. Koul,* Springer, pp. 155 – 189. with an on-line appendix.

**J. Hannig**, R. C. S. Lai and T. C. M. Lee (2014), Computational Issues of Generalized Fiducial Inference, *Computational Statistics and Data Analysis* special issue on Imprecision in Statistical Data Analysis, **71**, pp. 849 – 858.

**2013**

Y. Zhang, E. K. P. Chong, **J. Hannig** and D. Estep (2013), On Continuum Limits of Markov Chains with Applications to Network Modeling*, IEEE Access, ***1**, pp. 577--595.

Y. Zhang, E. K. P. Chong, **J. Hannig** and D. Estep (2013), Continuum Modeling and Control of Large Nonuniform Wireless Networks via Nonlinear Partial Differential Equations, *Abstract and Applied Analysis*, special issue on Advances in Nonlinear Complexity Analysis for Partial Differential Equations, Article ID 262581, 16 pages.

**J. Hannig **(2013) Generalized Fiducial Inference via Discretizations, *Statistica Sinica, ***23**, pp. 489-514.

N. Burch, E. K. P. Chong, D. Estep and** J. Hannig **(2013) Analysis of Routing Protocols and Interference-limited Communication in Large Wireless Networks via Continuum Modeling, *Journal of Engineering Mathematics*, **79**, pp. 183-199.

**J. Hannig**, T. C. M Lee and C. Park (2012), Metrics for SiZer Map Comparison, *Stat,* **2**, pp. 49-60, with Matlab code.

**2012**

J. Cisewski and **J. Hannig** (2012) Generalized Fiducial Inference for Normal Linear Mixed Models, *Annals of Statistics*, 40, pp. 2102 - 2127, with supplementary material and Matlab code.

**J. Hannig** and Min-ge Xie (2012), A note on Dempster-Shafer Recombinations of Confidence Distributions, *Electronic Journal of Statistics*, **6**, pp. 1943-1966.

J. Cisewski, E. Snyder, **J. Hannig** and L. Oudejans (2012), Support vector machine classification of suspect powders using laser induced breakdown spectroscopy (LIBS) spectral data, *Journal of Chemometrics*, **26**, pp. 143 -- 149.

C. M. Wang, **J. Hannig** and H. K. Iyer (2012), Pivotal methods in the propagation of distributions, *Metrologia*, ** 49**, pp. 382 -- 389.

C. M. Wang, **J. Hannig** and H. K. Iyer (2012), Fiducial Prediction Intervals, *Journal of Statistical Planning and Inference*, ** 142**, pp. 1980 -- 1990.

D. Wandler and** J. Hannig **(2012) Generalized Fiducial Confidence Intervals for Extremes, *Extremes*, **15**, pp. 67 -- 87. R code: known threshold, unknown threshold.

D. Wandler and** J. Hannig **(2012) A Fiducial Approach to Multiple Comparisons, *Journal of Statistical Planning and Inference*, **142**, pp 878 -- 895.

**2011**

D. Wandler and** J. Hannig **(2011), Fiducial Inference on the largest mean of a Multivariate Normal Distribution, *Journal of Multivariate Analysis*, **102**, pp. 87 – 104.

C. B. Storlie, **J. Hannig** and T. C. M. Lee (2011)**, **Statistical consistency of the data association problem in multiple target tracking, *Electronic Journal of Statistics*, **5**, 1227 -- 1275..

**2010**

C. Park, T. C. M. Lee and **J. Hannig** (2010), Multiscale Exploratory Analysis of Regression Quantiles using Quantile SiZer, *Journal of Computational and Graphical Statistics*, **19**, pp. 497 – 513 with suplementary documents.

** J. Hannig, **H. Iyer and T. C. M. Lee (2010), Fiducial Inference and Generalizations, in *International Encyclopedia of Statistical Science*, Springer.

P. J. Brockwell and** J. Hannig **(2010), CARMA(p,q) Generalized Random Processes, *Journal of Statistical Planning and Inference*, **140**, pp. 3613 – 3618.

S. S. Lee and **J. Hannig** (2010), Detecting jumps from levy jump diffusion processes, *Journal of Financial Economics, ***96**, pp. 271-290.

**2009**

**J. Hannig **(2009), On Generalized Fiducial Inference, *Statistica Sinica*, **19**, 491-544.

**J. Hannig **and T. C. M. Lee (2009), Generalized Fiducial Inference for Wavelet Regression, *Biometrika*, **96**, pp. 847 – 860 Suplementary Document.

C. Park, **J. Hannig** and K.-H. Kang (2009), Improved SiZer for Time Series, *Statistica Sinica, ***19,** pp. 1511 - 1530.

C. Park, A. Vaughan, **J. Hannig** and K.-H. Kang (2009), SiZer Analysis for Comparison of Two Time Series, *Journal of Statistical Planning and Inference, ***139**, pp. 3974 - 3988.

C. B. Storlie, T. C. M. Lee,** J. Hannig **and D. Nychka (2009), Tracking of multiple merging and splitting targets; a statistical perspective with discussion and rejoinder by the authors, *Statistica Sinica*, **19**, pp. 1 - 52.

**2008**

L. E, **J. Hannig** and H. Iyer (2008), Fiducial Intervals for Variance Components in an Unbalanced Two-component Normal Mixed Linear Model,* Journal of American Statistical Association*,** 103**, pp. 854 - 865.

E. K. P. Chong, D. Estep and** J. Hannig **(2008), Continuum Modeling of Large Networks, *International Journal of Numerical Modeling: Electronic Networks, Devices, and Fields, ***21,** pp. 169 -- 186.

H. Li, P. R. Barbosa, E. K. P. Chong,** J. Hannig** and S. R. Kulkarni (2008) Zero-Error Target Tracking with Limited Communication,* IEEE Journal on Selected Areas in Communications, Special Issue on Control and Communications*, **26**, pp. 686 - 694.

**2007**

**J. Hannig, **H. K. Iyer and C.M. Wang (2007), Fiducial Approach to Uncertainty Assessment Accounting for Error due to Instrument Resolution, *Metrologia*, **44, **pp. 476 - 483.

**2006**

**J. Hannig**, H. K. Iyer and P. Patterson (2006), Fiducial Generalized Confidence Intervals, *Journal of American Statistical Association*, **101**, pp. 254-269.

**J. Hannig **and J. S. Marron (2006), Advanced Distribution Theory for SiZer, *Journal of American Statistical Association*, **101**, pp. 484-499.

**J. Hannig**,E. K. P. Chong and S. R. Kulkarni (2006), Relative Frequencies of Generalized Simulated Annealing, *Math. of OR.*, **31**, pp. 199-215.

**J. Hannig **and T. C. M. Lee (2006)**,** Robust SiZer for Exploration of Regression Structures and Outlier Detection, *Journal of Computational and Graphical Statistics*, **15**, pp. 101-117.

**J. Hannig,** L. E, A. Abdel-Karim and H. K. Iyer (2006), Simultaneous Fiducial Generalized Confidence Intervals for Ratios of Means of Lognormal Distributions, *Austrian Journal of Statistics*, **35**, pp. 261-269.

**J. Hannig **(2006), Asymptotic Bounds for Coverage Probabilities for a Class of Confidence Intervals for the Ratio of Means in a Bivariate Normal Distribution, *Journal of Probability and Statistical Science*, **4**, pp. 41-49.

**J. Hannig **and T. C. M. Lee (2006)**, **Smoothing of the Poisson signal under L_2 and Kullback-Leibler Discrepency, J*ournal of Statistical Planning and Inference*, **136**, pp. 882-908 (includes a small correction to one of the proofs)

**2004**

F. Gao, **J. Hannig**, T.-Y. Lee and F. Torcaso (2004), Exact $L^2$ small balls of Gaussian processes, *J. of Theoretical Probability*, **17**, pp. 503-520.

**J. Hannig** and T. C. M. Lee (2004), Kernel Smoothing of Periodograms under Kullback-Leibler Discrepancy, *Signal Processing*, **84**, pp. 1255-1266.

**2003**

F. Gao, **J. Hannig** and F. Torcaso (2003), Integrated Brownian motions and Exact L2-small balls, *Annals of Probability*, **31**, pp. 1320-1337.

F. Gao, **J. Hannig**, T.-Y. Lee and F. Torcaso (2003), Laplace transforms via Hadamard Factorization, *Electronic J. of Probability*, **8**, paper no. 13, pp. 1-20.

F. Gao, **J. Hannig** and F. Torcaso (2003), Comparison Theorems for Small Deviations of Random Series, *Electronic J. of Probability*, **8**, paper no. 21, pp. 1-17.

**J. Hannig**, C. M. Wang and H. K. Iyer (2003), Uncertainty calculation for the ratio of dependent measurements, *Metrologia*, **40**, pp. 177-183.

**J. Hannig **(2003), On filtrations related to purely discontinuous martingales,* Seminaire de Probabilites XXXVI*, Lecture Notes in Mathematics 1801, pp. 360-365.

**J. Hannig**, J. S. Marron, G. Samorodniztky and F. D. Smith (2003), Log-normal durations can give long range dependence, Mathematical Statistics and Applications: Festschrift for Constance van Eeden,* IMS Lecture Notes-- Monograph Series* **42**, pp. 333-344.

**2001**

**J. Hannig, **J.S. Marron and R.H. Riedi (2001)**, **Zooming statistics: Inference across scales, *J. Korean Stat. Soc.,* **30**, pp. 327-345.

**2000**

**J. Hannig, **On purely discontinuous martingales, Ph.D. dissertation, Michigan State University, East Lansing, MI

**Never Published**

L. E, **J. Hannig** and H. K. Iyer. Fiducial Generalized Confidence Interval for Median Lethal Dose (LD50), with suplementary document.

**J. Hannig** and D. Katsoridas, Generalized Fiducial Inference for High Frequency Data in the Presence of Microstructure Noise.

A. Pal Majumder, Y. Liu and **J. Hannig**, Higher order asymptotics of Generalized Fiducial Distribution.

copyright © Jan Hannig, designed by JanAltonDesign, 2008