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Statistical Modelling for Big and Little Data
While the difference between “Data Science” and “Statistics” disciplines is, at best, blurred, many people associate machine learning methods and big...
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Predictive Accuracy of Prediction Model for Interval-Censored Data
Diverse measures for predictive accuracy have been developed for survival data which require additional investigation to reflect the time dependent...
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Statistical inference for the functional quadratic quantile regression model
In this paper, we develop statistical inference procedures for functional quadratic quantile regression model in which the response is a scalar and...
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A Powerful Test for SNP Effects on Multivariate Binary Outcomes Using Kernel Machine Regression
Evaluating multiple binary outcomes is common in genetic studies of complex diseases. These outcomes are often correlated because they are collected...
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Distance-Based Analysis with Quantile Regression Models
Non-standard structured, multivariate data are emerging in many research areas, including genetics and genomics, ecology, and social science....
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Robust Rare-Variant Association Tests for Quantitative Traits in General Pedigrees
Next-generation sequencing technology has propelled the development of statistical methods to identify rare polygenetic variation associated with...
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Phylogeny-Based Kernels with Application to Microbiome Association Studies
The human microbiome, the collection of the microorganisms and their genomes associated with the human body, has received tremendous attention...
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Statistical Methods in the Frequency Domain
In previous chapters, we sawmany applied time series problems that involved relating series to each other or to evaluating the effects of treatments...
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Statistical Considerations in the Analysis of Rare Variants
Recently, whole-genome and whole-exome sequencing has begun to demonstrate success in the identification of disease-causing genes. Many of these...
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Correcting for Hidden Population Structure in Single Marker Association Testing and Estimation
Chapter 2 discussed both relatedness of study participants and hidden population structure in terms of the correlations induced between the number of...
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Convex ordering criteria for Lévy processes
Modelling financial and insurance time series with Lévy processes or with exponential Lévy processes is a relevant actual practice and an active area...
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Use of Auxiliary Information: Probability Proportional to Size and Without Replacement (PPSWOR) Sampling
In probability proportional to size and without replacement (PPSWOR) sampling scheme, we will discuss the Horvitz and Thompson (1952) estimator, two...
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Interacting Particle Filtering with Discrete-Time Observations: Asymptotic Behaviour in the Gaussian Case
In this paper we are concerned with a very particular case of the following general filtering problem. The state process **s the solution of a...
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Estimation of Multivariate Functions for Small Samples
In this chapter we shall discuss several topics in multivariate function estimation with applications to density and regression estimation.
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A lower bound for the normal approximation ofU-statistics
In this paper, the rates of convergence to the normal distribution are investigated for U -statistics. Using Stein’s method, we derive a lower bound of...
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Univariate Discrete Responses
Perhaps the simplest discrete data problem involves single-sample binary responses. This section considers point and interval estimation for such...