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## Fiducial Theory for Free-Knot Splines

### Contemporary Developments in Statistical Theory (2014-01-01) 68: 155-189 , January 01, 2014

We construct the fiducial model for free-knot splines and derive sufficient conditions to show asymptotic consistency of a multivariate fiducial estimator. We show that splines of degree four and higher satisfy those conditions and conduct a simulation study to evaluate quality of the fiducial estimates compared to the competing Bayesian solution. The fiducial confidence intervals achieve the desired confidence level while tending to be shorter than the corresponding Bayesian credible interval using the reference prior. AMS 2000 subject classifications: Primary 62F99, 62G08; secondary 62P10.

## Statistical Decision Theory

### Estimation and Inferential Statistics (2015-01-01): 181-235 , January 01, 2015

In this chapter we discuss the problems of point estimation, hypothesis testing and interval estimation of a parameter from a different standpoint.

## The Method of Random Groups

### Introduction to Variance Estimation (2007-01-01): 21-106 , January 01, 2007

###
*Abstract*

The random group method of variance estimation amounts to selecting two or more samples from the population, usually using the same sampling design for each sample; constructing a separate estimate of the population parameter of interest from each sample and an estimate from the combination of all samples; and computing the sample variance among the several estimates. Historically, this was one of the first techniques developed to simplify variance estimation for complex sample surveys. It was introduced in jute acreage surveys in Bengal by Mahalanobis (1939, 1946), who called the various samples *interpenetrating samples*. Deming (1956), the United Nations Subcommission on Statistical Sampling (1949), and others proposed the alternative term *replicated samples*. Hansen, Hurwitz, and Madow (1953) referred to the *ultimate cluster* technique in multistage surveys and to the *random group* method in general survey applications. Beginning in the 1990s, various writers have referred to the *resampling* technique. All of these terms have been used in the literature by various authors, and all refer to the same basic method. We will employ the term *random group* when referring to this general method of variance estimation.

## Interactive Information System of Self-Treatment in Haemophilia

### The Computer and Blood Banking (1981-01-01) 13: 241-242 , January 01, 1981

Hemophilia is a congenital coagulopathy characterized by a differently marked deficiency of the coagulation factor VIII or IX. In the late sixties the development of highly purified factor VIII/IX concentrates led to a major change in the treatment of hemophilic patients. Thus, in 1971, in addition to the existing in-hospital and outpatient treatment, the Hemophilia Center Bonn introduced the controlled self-treatment. This new treatment concept enables the hemophiliac to lead a normal social life. He is no longer excluded from attending Kindergarten or school or leading a professional life.

## A model for a comprehensive LIMS

### Advanced LIMS Technology (1995-01-01): 15-36 , January 01, 1995

Demands on many laboratory organizations are becoming a driving force to automate analytical procedures. Automation, which is generally focused at the bench, allows an analyst to complete more work per unit time, resulting in higher productivity. Laboratory Information Management Systems (LIMS) have been developed to carry out many associated administrative tasks and procedures required to run a laboratory. However, many organizations often take a narrow view of both a laboratory and the functions that can be automated, preventing them from extending automation to provide real scientific and business benefits.

## Hybrid k-Means: Combining Regression-Wise and Centroid-Based Criteria for QSAR

### Selected Contributions in Data Analysis and Classification (2007-01-01): 225-233 , January 01, 2007

This paper further extends the ‘kernel’-based approach to clustering proposed by E. Diday in early 70s. According to this approach, a cluster’s centroid can be represented by parameters of any analytical model, such as linear regression equation, built over the cluster. We address the problem of producing regression-wise clusters to be separated in the input variable space by building a hybrid clustering criterion that combines the regression-wise clustering criterion with the conventional centroid-based one.

## Economic and Financial Modeling with Mathematica®

### Economic and Financial Modeling with Mathematica® (1993-01-01) , January 01, 1993

## On Optimal Designs for High Dimensional Binary Regression Models

### Optimum Design 2000 (2001-01-01) 51: 275-285 , January 01, 2001

We consider the problem of deriving optimal designs for generalised linear models depending on several design variables. Ford, Torsney and Wu (1992) consider a two parameter/single design variable case. They derive a range of optimal designs, while making conjectures about *D*-optimal designs for all possible design intervals in the case of binary regression models. Motivated by these we establish results concerning the number of support points in the multi-design-variable case, an area which, in respect of non-linear models, has uncharted prospects.

## Prediction by conditional simulation: models and algorithms

### Space, Structure and Randomness (2005-01-01) 183: 39-68 , January 01, 2005

Prediction here refers to the behavior of a regionalized variable: average ozone concentration in April 2004 in Paris, maximum lead concentration in an industrial site, recoverable reserves of an orebody, breakthrough time from a source of pollution to a target, etc. Dedicating a whole chapter of a book in honor to Georges Matheron to prediction by conditional simulation is somewhat paradoxical. Indeed performing simulations requires strong assumptions, whereas Matheron did his utmost to weaken the prerequisites for the prediction methods he developed. Accordingly, he never used them with the aim of predicting and they represented a marginal part of his activity. The turning bands method, for example, is presented very briefly in a technical report on the Radon transform to illustrate the one-to-one mapping between *d*-dimensional isotropic covariances and unidimensional covariances^{1} [44]. As for the technique of conditioning by kriging, it is nowhere to be found in Matheron’s entire published works, as he merely regarded it as an immediate consequence of the orthogonality of the kriging estimator and the kriging error.