Randomized response (RR) methods have long been suggested for protecting respondents' privacy in statistical surveys. However, how to set and achieve privacy protection goals have received little attention. We give a full development and analysis of the view that a privacy mechanism should ensure...
The Current Population Survey (CPS) is a multistage probability sample survey conducted by the U.S. Census Bureau and the Bureau of Labor Statistics (BLS). The 4-8-4 rotation design is applied to produce overlap in the sample across months. Several weighting steps are used to adjust the ultimate...
e a masked or perturbed version of survey data to protect respondents' confidentiality. Ideally, a perturbation procedure should protect confidentiality without much loss of data quality, so that released data may practically be treated as original data for making inferences. A major objective in...
In modern time series analysis with state space models, two categories of time series are difficult to handle and of special interest: one is low-dimensional time series with severe nonlinearity and non-Gaussianity; the other is high-dimensional time series. The above problems become even more...
The intraclass correlation coefficient (ICC) has a lengthy history of application in several different fields of research. It is a widely recognized index of reliability among measurements. Two-stage group sequential designs are proposed to lead to savings in sample size, time and cost when...
Consider predicting an unobserved random variable Y based on the observed value of a random vector X, under an assumed model. In this context, we formalize the basic logic of equivariance to serve it as a useful tool for selecting a predictor. The development involves a new framework and more...
We study a class of tenable irreducible nondegenerate zero-balanced polya urn schemes. We give a full characterization of the class by sufficient and necessary conditions. Only forms with a certain cyclic structure in their replacement matrix are admissible. The scheme has a steady state into...
Two research topics in statistical prediction, which can be regarded as a general inference problem, are discussed. One topic is finding and utilizing lower bounds for prediction mean squared error (MSE). We develop Kshirsagar type lower bounds for prediction MSE and discuss their usefulness....
The motivation for this dissertation is the resolution of a long-standing practical problem in reliability engineering, namely that of tracking reliability growth. The dissertation's essential output is the development of a coherent framework for casting the reliability growth problem as one of...
We represent the d-dimensional random vectors as vertices of a complete weighted graph and propose depth functions that are applicable to distributions in d-dimensional spaces and data on graphs. We explore the proximity graphs, examine their connection to existing depth functions, define a...
In this research we adopt the incompletely penetrant model and develop the allelic identical by descent (IBD) distributions at marker locus given dichotomous disease affectional status for siblings, uncle-nephew, grandparent-grandchild, half-sibs, and first cousin pairs. We first show that the...
We discuss two closely related topics - randomized response (RR) surveys and post-randomization - that are concerned with survey respondents' privacy protection. We present a common framework for various RR surveys of dichotomous populations with polychotomous responses. The unified approach...