Browse Dissertations and Theses - Statistics by Title

  • Xu, Yi (1995)
    We propose a fully sequential procedure for constructing a fixed width confidence band for an unknown density on a finite interval and show the procedure has the desired coverage probability asymptotically as the width of ...
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  • Navarro, Mercidita Tulay (1990)
    Suppose that $X\sb1,X\sb2,\cdots$ are independent observations from a distribution F, and that one wishes to estimate the $p\sp{\rm th}$ quantile $\xi\sb{p}(0 0).$ If $f(\xi\sb{p})$ is known, one may use the best fixed ...
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  • Zhang, Jinming (1996)
    The first part of this thesis, Chapter 2 through Chapter 4, explores procedures for assessing latent test dimensionality. In Chapter 2, the structure and theoretical properties of conditional item pair covariances given a ...
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  • Wu, Hongsheng (1996)
    The issues studied in this thesis are: the assumption of local independence (LI) in item response theory (IRT) models in the first three chapters, and differential item functioning (DIF) in IRT in the last chapter. A new ...
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  • Chang, Yuan-Chin Ivan (1991)
    Let $({\bf X}\sb{i},Y\sb{i}), i = 1,2,\cdots,$ be a random sample satisfying a logistic regression model; that is, for each i, log($P(Y\sb{i}$ = $1\vert{\bf X}\sb{i})/P(Y\sb{i}$ = 0$\vert{\bf X}\sb{i})\rbrack$ = ${\bf ...
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  • Chang, Hua-Hua (1992)
    It has long been part of the Item Response Theory (IRT) folklore that under the usual empirical Bayes unidimensional IRT modeling approach, the posterior distribution of examinee ability given test response is approximately ...
    untranslated PDF (4MB)Restricted to U of Illinois
  • Kundu, Subrata (1994)
    Let $X\sb1, X\sb2, \... X\sb{n}$ be i.i.d random variables with common unknown density function f. Here we are interested in estimating the unknown density f with bounded Mean Integrated Absolute Error (MIAE). Devroye and ...
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  • Shen, Liji (1994)
    Local kernel estimates and B-spline estimates are considered in the nonparametric regression and the generalized linear models. The consistency and asymptotic normality of kernel estimates are proved. Simulations on B-spline ...
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  • Zhang, Xianyang (2013-08-22)
    Functional data Analysis has emerged as an important area of statistics which provides convenient and informative tool for the analysis of data objects of high dimension/high resolution. In the literature, it seems that ...
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  • Fan, Zhewen (2011-01-14)
    Chapter 1 is concerned with confidence interval construction for the mean of a long-range dependent time series. It is well known that the moving block bootstrap method produces an inconsistent estimator of the distribution ...
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  • Xia, Jing (2011-05-25)
    Since the early 1990s, functional magnetic resonance imaging (fMRI) has dominated the brain mapping field and it has been proved a powerful tool for mapping human brain functions. The fMRI is a high spatial-temporal ...
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  • Liu, Yufei (2013-08-22)
    This dissertation is centered on the modeling of heterogeneous data which is ubiquitous in this digital information age. From the statistical point of view heterogeneous data is composed of dissimilar components, where ...
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  • Yang, Ji Yeon (2010-08-31)
    The protein lysate array is an emerging technology for quantifying the protein concentration ratios in multiple biological samples. It is gaining popularity, and has the potential to answer questions about post-translational ...
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  • Li, Bin (2013-08-22)
    Nowadays in many statistical applications, we face models whose complexity increases with the sample size. Such models pose a challenge to the traditional statistical analysis, and call for new methodologies and new ...
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  • Douglas, Jeffrey A. (1995)
    The simultaneous and nonparametric estimation of latent abilities and item characteristic curves is considered. In particular, the joint asymptotic properties of ordinal ability estimation and kernel smoothed nonparametric ...
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  • Park, Jeong Soo (1991)
    Modern scientific researchers often use complex computer simulation codes for theoretical investigations. We model the response of computer simulation code as the realization of a stochastic process. This approach, design ...
    untranslated PDF (6MB)Restricted to U of Illinois
  • Chung, Lyinn (1989)
    A popular nonparametric measure of a monotone relation between two variables is Kendall's tau. Originally, most analysis of this statistic assumed the two variables were independent, while more recently there has been ...
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  • Muyot, Maria Emerita Carmen Tiongson (1993)
    Several nonparametric tests based on ranks have been proposed to handle analysis of variance problems. But questions have been raised about the appropriateness of some procedures that are mere rank transformations of normal ...
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  • Condon, Erin (2012-05-22)
    In the marketing research world today, companies have access to massive amounts of data regarding the purchase behavior of consumers. Researchers study this data to understand how outside factors, such as demographics and ...
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  • Tsukahara, Hideatsu (1996)
    We first consider convergence in law of measurable processes with a general parameter set and a state space. To this end, we need to investigate topological properties of the space of measurable functions which is the paths ...
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