Cover image for Recent Advances in Statistical Methods : The 4th Conference in Applied Statistics.
Recent Advances in Statistical Methods : The 4th Conference in Applied Statistics.
Title:
Recent Advances in Statistical Methods : The 4th Conference in Applied Statistics.
Author:
Chaubey, Yogendra P.
ISBN:
9781860949531
Personal Author:
Physical Description:
1 online resource (378 pages)
Contents:
CONTENTS -- Preface -- On the Estimation of Size and Mean Value of a Stigmatized Characteristic of a Hidden Gang in a Finite Population -- 1 Introduction -- 2 Formulation of the Problem -- 3 Estimators under Standard Sampling Strategies -- 3.1 Horvitz- Thompson Estimator Based on an Arbitrary Sampling Scheme -- 3.2 SRSWOR Sampling Scheme -- 3.3 Hansen-Hurwitz Estimator Based on PPSWR -- 3 4 SRSWR Sampling Scheme: -- 3.5 Rao-Hartley-Cochran Strategy: -- 4 Relative Efficiency of Estimators -- 4.1 SRSWR vs. SRSWOR -- 4.2 PPSWR vs. SRSWR and SRSWOR -- References -- 1 Introduction -- 2 A Model with Endogenous Job Search -- 3 Econometric Specification -- 3.1 Parameterization -- 3.2 Likelihood Functions -- 4 The Canadian Labour Market Activity Survey -- 4.1 Description -- 4.2 Some Features of the Data -- 5 Empirical Results -- 5.1 Model with Participation Data -- 5.2 Model without Participation Data -- 5.3 The Effects of Marital Status -- 5.4 The Initial Condition Problem: Child Status and Unobserved Heterogeneity -- 6 Investigating the Gender and the Fertility Wage Gap -- 7 Conclusion -- References -- Kullback-Leibler Optimization of Density Estimates -- 1 Introduction -- 2 Kullback-Leibler divergence and modified histograms -- 3 Asymptotics -- References -- The Asymptotic Distribution of Spacings of Order Statistics -- 1 Introduction -- 2 Empirical distribution of spacings -- 3 Characterization of asymptotic spacings distributions -- 4 Numerical results and simulations -- References -- Theoretical and Computational Issues in Bayesian Analysis of Multivariate Ordinal Categorical Data with Reference to an Ophthalmologic Study -- 1 Introduction -- 2 WESDR -- 2.1 Description of the WESDR -- 2.2 Data description -- 3 Bayesian Analyses -- 3.1 Bayesian Analysis of Baseline Data.

3.2 Analysis of the Baseline and 4-year Follow-up Data -- 3.3 Present Analysis Using all the Data -- 4 Prior Elicitation and Model Selection -- 5 Present Bayesian Analysis With the Selected Model -- 6 Computational Issues -- 7 Concluding Remarks -- References -- Second-Order Moments and Mutual Information in the Analysis of Time Series -- 1 Introduction -- 2 Mutual Information -- 2.1 Continuous Case -- 2.2 Processes -- 3 Networks -- 4 Results -- 4.1 Mississippi River Flow -- 5 Discussion and Extensions -- References -- Spatial Association Between Community Air Pollution and Heart Disease: Analysis of Correlated Data -- 1 Introduction -- 2 Spatial Model -- 3 Statistical Estimation -- 4 The American Cancer Society Study -- 5 Results -- 6 Discussion -- References -- On the Robustness of Relative Surprise Inferences to the Choice of Prior -- 1 Introduction -- 2 Surprise and Relative Surprise -- 3 Robustness to the Prior Under Linear Perturbations -- 4 Conclusions -- References -- Using Survival Analysis in Preterm Birth Study -- 1 Introduction -- 2 Statistical Method -- 3 Preterm Birth Study -- 4 Results -- 5 Discussion -- References -- Asymptotic Forms and Bounds for Tails of Convolutions of Compound Geometric Distributions with Applications -- 1 Introduction -- 2 Light-tail asymptotics -- 3 Heavy-tail asymptotics -- 4 Medium-tail asymptotics -- 5 Ruin probabilities in a diffusion risk model -- 5.1 Asymptotics for the diffusion risk model -- 5.2 Ruin probability bounds for the diffusion risk model with heavy tails -- References -- Improved Finite-Sample Inference in Overidentified Models with Weak Instruments -- 1 Introduction -- 2 General Approach to Estimating Moment Condition Models -- 2.1 GMM Estimators -- 2.2 Nonparametric Likelihood Estimators -- 3 Inference in Moment Condition Models -- 4 Monte Carlo Study.

5 Empirical Illustration: Return to Education -- 6 Concluding Remarks -- References -- Probability of Correct Selection of Gamma versus GE or Weibull versus GE based on Likelihood Ratio Statistic -- 1 Introduction -- 2 Likelihood Ratio Statistic -- 3 Probability of Correct Selections -- 4 Data Analysis -- 5 Conclusions -- References -- Survey Methodology for Studying Substance Use Prevention Programs in Schools -- 1 Introduction -- 2 Defining the Target Population -- 3 Sampling Frame Considerations -- 3.1 Explicit and Implicit Stratification -- 4 Sample Selection -- 4.1 The Middle School Sample -- 4.2 Under-Coverage or Under-Representation -- 4.3 Inclusion of Public School Districts -- 5 Sample Weighting and Results -- 5.1 School Weights -- 5.2 District Weights -- 5.3 Sampling Results -- 5.4 Data Collection Experience -- 6 Conclusions -- References -- One-Step Estimation for the Partially Linear Proportional Hazards Model -- 1 Introduction -- 2 Likelihood Function for A Parametric Survival Model -- 3 Local Likelihood -- 4 The One Step Estimation Method -- 5 Distribution Theory -- 5.1 One-Step Estimator of the Nonparametric Part -- 5.2 Fully Iterated Estimator of the Nonparmetric Part -- 5.3 One-Step Estimator for the Parametric Part -- 6 Conclusions -- References -- A Nested Frailty Survival Model for Recurrent Events -- 1 Introduction -- 2 Nested Frailty Cox Model -- 3 Auxiliary Random Effects Poisson Models -- 4 Orthodox Best Linear Unbiased Predictor Approach -- 4.1 Prediction of random effects -- 4.2 Estimation of regression parameters -- 4.3 Estimation of dispersion parameters -- 4.4 Computational procedures -- 5 An example -- 6 Alternative Models -- 7 Discussion -- References -- Multiple Comparison Procedures for Linear Models under Order Restrictions -- 1 Introduction -- 2 One-Sided Tests.

2.1 One-Sided Test for Subhypotheses -- 2.2 One-Sided Multiple Comparisons -- 3 Multiple Comparisons Under Order Restrictions -- 4 Example -- 5 Conclusion -- References -- Testing Goodness-of-Fit of the Gamma Models -- 1 Introduction and Summary -- 2 The Gamma Goodness-of-Fit Tests -- 2.1 The Empirical Distribution Function Tests -- 2.2 Characterizations and Gamma GOF Tests -- 2.3 Locke's Tests -- 3 A Consistent Modification of Locke's Procedure -- 3.1 Two Consistent Tests of Bivariate Independence -- 3.2 The Modified Test -- 3.3 A Monte Carlo Experiment -- 4 An Alternative Approach -- 5 Conclusion -- References -- On Frailty Models and Copulas -- 1 Bivariate Frailty Models -- 2 Local Odds ratios -- 3 The Kendall Distribution -- 4 Estimation of a Dependence Parameter -- References -- Surrogate Data and Fractional Brownian Motion -- 1 Introduction -- 2 Fractional Brownian Motion -- 3 Surrogate Data -- 4 Fractional Brownian Motion and Surrogate Data -- 5 Experimental Results -- 6 Conclusion -- 7 Source Code -- References -- Analysis of Occult Tumour Trial Data with Varying Lethality -- 1 Introduction -- 2 Preliminary Considerations -- 3 Non-Parametric Estimation -- 4 Fitting the Semi-parametric Model -- 6 Discussion -- References -- Nonlinear Mixed Effects Models: Recent Developments -- 1 Introduction -- 2 Four Illustrations of Nonlinear Models -- 3 Nonlinear Models to test normality or to validate transformations -- 4 Linear Mixed Effects Model Marginal Distribution and the Likelihood Estimation -- 5 Nonlinear Mixed Effects Models and an Approximate Likelihood Estimation -- 6 Nonlinear Models for Reliability and Degradation -- 7 Summary and Discussion -- References -- The Sampling Bias of Heckman's Sample Bias Estimator -- 1 Introduction -- 2 Derivation of the second order bia.

3 Simulation and Empirical Results -- 4 Conclusion -- References -- Computational Sequence Analysis: Genomics and Statistical Controversies -- 1 Introduction -- 2 Molecular Biological Perspectives -- 3 Statistical Motivation -- 4 CSA : Likelihoods and Alternatives. -- 5 Nonparametrics and General Comments -- References -- Universal Optimality of Completely Randomized Designs -- 1. Introduction -- 2. Universal Optimality -- 3. Optimality of MSA CRD's -- References -- A Nonparametric Comparison of Tumor Incidences with Intermediate Lethality and Different Death Rates -- 1 Introduction -- 2 Notation and Assumptions -- 3.Statistical Methods -- 4 An Application -- 5 Concluding Remarks -- References -- Generalized Smoothed Estimating Functions with Censored Observations -- 1 Introduction -- 2 Estimating function based kernel estimate -- 3 Conclusion -- References -- Large Sample Asymptotic Properties of Ordinary Least Squares Two Stage Least Squares and Limited Information Maximum Likelihood Estimators in Simultaneous Equations Models -- 1 Introduction -- 2 Model Specification And Estimators -- 3 Asymptotic Properties of OLS Estimator -- 4 Comparison of TSLS and LIML Estimators -- 5 Derivation of Results -- References -- Relative Stability of Weighted Maxima of Bounded i.i.d. Random Variables -- References -- Transient Analysis of Some Infinite Server Queues -- References -- Empirical Likelihood Method for Finite Populations -- 1 Introduction -- 2 Pseudo Empirical Likelihood Approach -- 3 Estimating the Distribution Function and Quantiles -- 4 Estimation of Variance and Quadratic Functions -- 5 Range-restricted Weights in Regression Estimation -- 6 Estimation Under Measurement Error Models -- 7 Concluding Remarks -- References.

Second Order Estimating Equations for Clustered Longitudinal Binary Data with Missing Observations.
Abstract:
This volume consists of research papers dealing with computational and methodological issues of statistical methods on the cutting edge of modern science. It touches on many applied fields such as Bayesian Methods, Biostatistics, Econometrics, Finite Population Sampling, Genomics, Linear and Nonlinear Models, Networks and Queues, Survival Analysis, Time Series, and many more. Contents: Unemployment, Search and the Gender Wage Gap: A Structural Model (C Belzil & X Zhang); Kullback-Leibler Optimization of Density Estimates (A Berlinet & E Brunel); The Asymptotic Distribution of Spacings of Order Statistics (M G Bickis); Second-Order Moments and Mutual Information in the Analysis of Time Series (D R Brillinger); On the Robustness of Relative Surprise Inferences to the Choice of Prior (M Evans & T Zou); Using Survival Analysis in Pretern Birth Study (C Y Fu & S H Liu); A Nested Frailty Survival Model for Recurrent Events (R Ma et al.); Testing Goodness-of-Fit of the Gamma Models (C E Marchetti et al.); On Frailty Models and Copulas (D Oakes); Surrogate Data and Fractional Brownian Motion (P Rabinovitch); Nonlinear Mixed Effects Models: Recent Developments (P S R S Rao & N Zaino); Computational Sequence Analysis: Genomics and Statistical Controversies (P K Sen); Universal Optimality of Completely Randomized Designs (K R Shah & B K Sinha); Generalized Smoothed Estimating Functions with Censored Observations (A Thavaneswaran & J Singh); and other papers. Readership: Graduate students and researchers in probability and statistics, economics, and bioinformatics.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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