# Advances on Theoretical and Methodological Aspects of Probability and Statistics

DOI link for Advances on Theoretical and Methodological Aspects of Probability and Statistics

Advances on Theoretical and Methodological Aspects of Probability and Statistics book

# Advances on Theoretical and Methodological Aspects of Probability and Statistics

DOI link for Advances on Theoretical and Methodological Aspects of Probability and Statistics

Advances on Theoretical and Methodological Aspects of Probability and Statistics book

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At the International Indian Statistical Association Conference, held at McMaster University in Ontario, Canada, participants focused on advancements in theory and methodology of probability and statistics. This is one of two volumes containing invited papers from the meeting. The 32 chapters deal with different topics of interest, including stochastic processes and inference, distributions and characterizations, inference, Bayesian inference, selection methods, regression methods, and methods in health research. The text is ideal for applied mathematicians, statisticians, and researchers in the field.

## TABLE OF CONTENTS

part Part 1|71 pages

Stochastic Processes and Inference

chapter Chapter 1|34 pages

#### Nonlinear Filtering with Stochastic Delay Equations

part Part II|86 pages

Distributions and Characterizations

chapter Chapter 5|7 pages

#### The Conditional Distribution of X Given X = Y can be Almost Anything!

chapter Chapter 6|13 pages

#### An Application of Record Range and Some Characterization Results

chapter Chapter 8|13 pages

#### The Distribution of Functions of Elliptically Contoured Vectors in Terms of their Gaussian Counterparts

chapter Chapter 9|15 pages

#### Inverse Normalizing Transformations and an Extended Normalizing Transformation

part Part III|141 pages

Inference

chapter Chapter 11|9 pages

#### Convex Geometry, Asymptotic Minimaxity and Estimating Functions

chapter Chapter 12|11 pages

#### Nonnormal Filtering via Estimating Functions

chapter Chapter 13|13 pages

#### Recent Developments in Conditional-Frequentist Sequential Testing

chapter Chapter 14|14 pages

#### Some Remarks on Generalizations of the Likelihood Function and the Likelihood Principle

chapter Chapter 15|11 pages

#### Cusum Procedures for Detecting Changes in the Tail Probability of a Normal Distribution

chapter Chapter 17|7 pages

#### One-Way Random Effects Model with a Covariate: Nonegative Estimators

chapter Chapter 18|31 pages

#### On a Two-Stage Procedure with Higher than Second-Order Approximations

chapter Chapter 19|9 pages

#### Bounded Risk Point Estimation of a Linear Function of K Multinormal Mean Vectors When Covariance Matrices are Unknown

chapter Chapter 20|13 pages

#### The Elusive and Illusory Multivariate Normality

part Part IV|41 pages

Bayesian Inference

chapter Chapter 21|12 pages

#### Characterizations of Tailfree and Neutral to the Right Priors

chapter Chapter 22|14 pages

#### Empirical Bayes Estimation and Testing for a Location Parameter Family of Gamma Distributions

chapter Chapter 23|12 pages

#### Rate of Convergence for Empirical Bayes Estimation of a Distribution Function

part Part V|61 pages

Selection M ethods

chapter Chapter 24|25 pages

#### On a Selection Procedure for Selecting the Best Logistic Population Compared with a Control

chapter Chapter 25|19 pages

#### On Selection from Normal Populations in Terms of the Absolute Values of Their Means

part Part VI|85 pages

Regression Methods

chapter Chapter 27|19 pages

#### Tolerance Intervals and Calibration in Linear Regression

chapter Chapter 28|23 pages

#### An Overview of Sequential and Multistage Methods in Regression Models

chapter Chapter 29|21 pages

#### Bayesian Inference for a Change-Point in Nonlinear Modeling

chapter Chapter 30|17 pages

#### Convergence to Tweedie Models and Related Topics 1

part Part VII|36 pages

Methods in Health Research