Affine Fourier transform (AFT) also called as the canonical. transform. It generalizes the fractional Fourier transform (FRFT), Fresnel transform, scaling operation, etc., and is a very useful tool for signal processing. In this paper, we will derive the eigenfunctions of AFT. The eigenfunctions seems hard to be derived, but since AFT can be represented by the time-frequency matrix (TF matrix),...

Genetic regulation of acute tolerance to ethanol may be associated with ethanol consumption and other ethanol-related behaviors in rodents. We have used lines of mice, selectively bred for high and low acute functional tolerance (HAFT and LAFT, respectively) to ethanol-induced loss of balance to test this hypothesis. Replicate HAFT and LAFT lines differ in AFT to ethanol-induced loss of balance...

Bayesian semi-parametric inference is considered for a log-linear model. This model consists of a parametric component for the regression coeecients and a nonparametric component for the unknown error distribution. Bayesian analysis is studied for the case of a parametric prior on the regression coeecients and a mixture-of-Dirichlet-processes prior on the unknown error distribution. A Markov ch...

In this manuscript, we discuss the distinction of two types of data generating scheme for the accelerated failure time model. We identify two different empirical likelihood formulations under random right censoring, case-wise and residual-wise, each reflecting the relevant features of the stochastic model assumed to have generated the data. We specifically propose the case-wise empirical likeli...

Many products have two kinds of failure modes, that is, degradation failure and traumatic failure. It is of great importance to study the competing failure of degradation failure and traumatic failure at use or accelerating conditions. In this paper, the problem of accelerated failure with competing causes of a degradation failure mode and multiple traumatic failure modes is treated. We discuss...

OBJECTIVES In breast cancer research, it is important to identify genomic markers associated with prognosis. Multiple microarray gene expression profiling studies have been conducted, searching for prognosis markers. Genomic markers identified from the analysis of single datasets often suffer a lack of reproducibility because of small sample sizes. Integrative analysis of data from multiple ind...

In large cohort studies, it often happens that some covariates are expensive to measure and hence only measured on a validation set. On the other hand, relatively cheap but error-prone measurements of the covariates are available for all subjects. Regression calibration (RC) estimation method (Prentice, 1982, Biometrika 69, 331-342) is a popular method for analyzing such data and has been appli...