**Submitted/being revised**

**J. Hannig**, H. Iyer, R. C. S. Lai and T. C. M. Lee, Generalized Fiducial Inference: A Review.

S. Bhamidi, **J. Hannig**, C. Y. Lee and J. Nolen, The importance sampling technique for understanding rare events in Erdos-Renyi random graphs.

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

Y. Liu and **J. Hannig,** Generalized Fiducial Inference for Binary Logistic Item Response Models

W. J. Shi, **J. Hannig**, and C. D. Jones, Using Dirichlet mixture model to detect concomitant changes in allele frequencies.

P. Borysov, **J. Hannig**, J.S. Marron, E. Muratov, D. Fourches and A. Tropsha, Activity Prediction and Identification of Mis-annotated Chemical Compounds Using Extreme Descriptors.

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

**In Press**

L. Liao, C. Park, **J. Hannig**, K.-H. Kang, Autocovariance Function Estimation via Penalized Regression, to appear in *Journal of Computational and Graphical Statistics.* with supplementary document.

C. Liu, X. Xu and **J. Hannig**, Least squares generalized inferences in unbalanced two-component normal mixed linear model, to appear in Computational Statistics.

**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

**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**, **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, with *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, with , *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.

K. Hindberg, **J. Hannig** and F. Godtliebsen, A Novel Scale-Space Approach for Multinormality Testing and the k-Sample Problem.

copyright © Jan Hannig, designed by JanAltonDesign, 2008