### 10th World Congress in Probability and Statistics

## Contributed Session (live Q&A at Track 3, 10:30PM KST)

## Potential Theory in Probability Theory

### Heat contents for time-changed killed Brownian motions

Hyunchul Park (State University of New York at New Paltz)

This is a joint work with Kei Kobayashi (Fordham University, USA).

### Heat kernel bounds for nonlocal operators with singular kernels

Kyung-Youn Kim (National Chengchi University)

This is joint work with Moritz Kassmann and Takashi Kumagai.

### The full characterization of the expected supremum of infinitely divisible processes

Rafal Martynek (University of Warsaw)

The result relies highly on the Bednorz-Latała theorem characterizing suprema of Bernoulli processes and its recent reformulation due to Talagrand together with series representation due to Rosiński.

I will also describe how the method of the proof leads to the positive settlement of two others conjectures of Talagrand. Namely, the Generalized Bernoulli Conjecture concerning selector processes and analogous result for empirical processes. These three results completes an important chapter of Talagrand's program of understanding the suprema of random processes through chaining.

The part of the talk concerning infinitely divisible processes is based on the joint work with W. Bednorz, while the part about selector and empirical processes was developed by M. Talagrand after we communicated him the initial result.

### The e-property of asymptotically stable Markov-Feller operators

Hanna Wojewódka-Ściążko (University of Silesia in Katowice)

### Q&A for Contributed Session 05

###### Session Chair

Panki Kim (Seoul National University)

## Advanced Stochastic Processes

### A multi-species Ehrenfest process and its diffusion approximation

Serena Spina (University of Salerno)

### Limit theorems for the realised semicovariances of multivariate Brownian semistationary processes

Yuan Li (Imperial College London)

### A Yaglom type asymptotic result for subcritical branching Brownian motion with absorption

Jiaqi Liu (University of California, San Diego)

### Q&A for Contributed Session 15

###### Session Chair

Jaehun Lee (Korea Institute for Advanced Study)

## Bayesian Inference

### Bayesian and stochastic modeling of polysomnography data from children using pacifiers for improved estimation of the apnea-hypopnea index

Sujay Datta (University of Akron)

### Asymmetric prior in wavelet shrinkage

Alex Rodrigo dos Santos Sousa (University of São Paulo)

### Semiparametric Bayesian regression analysis of multi-typed matrix-variate responses

Inkoo Lee (Rice University)

### Bayesian phylogenetic inference of stochastic block models on infinite trees

Wenjian Liu (Queensborough Community College, City University of New York)

### Order-restricted Bayesian inference for the simple step-stress accelerated life tests

David Han (The University of Texas at San Antonio)

### Q&A for Contributed Session 22

###### Session Chair

Seongil Jo (Inha University)

## Novel Statistical Approaches In Genetic Association Analyses

### An extended model for phylogenetic maximum likelihood based on discrete morphological characters

David Spade (University of Wisconsin-Milwaukee)

### Combined linkage and association mapping integrating population-based and family-based designs using multinomial regression

Saurabh Ghosh (Indian Statistical Institute)

### An alternative to intersection-union test for the composite null hypothesis used to identify shared genetic risk of disease outcomes

Debashree Ray (Johns Hopkins University)

### Efficient SNP-based heritability estimation using Gaussian predictive process in large-scale cohort studies

Saonli Basu (University of Minnesota)

This is joint work with Souvik Seal, Colorado School of Public Health, and Abhirup Datta, Johns Hopkins University

### Data-adaptive groupwise test for genomic studies via the Yanai's generalized coefficient of determination

Masao Ueki (Nagasaki University)

However, signals jointly detectable with other variables may be overlooked. Group-wise analysis for a pre-defined group is often developed, but the power will be limited if the knowledge is insufficient. A flexible data-adaptive test procedure is thus proposed for conditional mean applicable to a variety of model sequences that bridge between low and high complexity models as in penalized regression. The test is based on the model that maximizes a generalization of the Yanai's generalized coefficient of determination by exploiting the tendency for the dimensionality to be large under the null hypothesis. The test does not require complicated null distribution computation, thereby enabling large-scale testing application. Numerical studies demonstrated that the proposed test applied to the lasso and elastic net had a high power regardless of the simulation scenarios. Applied to a group-wise analysis in real genome-wide association study data from Alzheimer's Disease Neuroimaging Initiative, the proposal gave a higher association signal than the existing methods.

### Q&A for Contributed Session 33

###### Session Chair

Saurabh Ghosh (Indian Statistical Institute)

## Statistical Inference

### Density deconvolution with non-standard error distributions: rates of convergence and adaptive estimation

Taeho Kim (University of Haifa)

### Moments of the doubly truncated selection elliptical distributions: recurrence, existence and applications

Christian Galarza Morales (Escuela Superior Politécnica del Litoral)

### Characterization of probability distributions by a generalized notion of sufficiency and Fisher information

Atin Gayen (Indian Institute of Technology Palakkad)

### Q&A for Contributed Session 36

###### Session Chair

Mijeong Kim (Ewha Womans University)