## SEARCH

#### Country

##### ( see all 294)

- United States 10766 (%)
- Germany 5685 (%)
- USA 2484 (%)
- United Kingdom 2195 (%)

#### Institution

##### ( see all 13863)

- University of California 608 (%)
- Webster University 368 (%)
- Indian Statistical Institute 332 (%)
- Columbia University 262 (%)
- The Institute of Statistical Mathematics 248 (%)

#### Author

##### ( see all 46510)

- Quirk, Thomas J. 343 (%)
- Eckstein, Peter P. 245 (%)
- Härdle, Wolfgang Karl 202 (%)
- Bourier, Günther 186 (%)
- Balakrishnan, N. 143 (%)

#### Publication

##### ( see all 1145)

- Annals of the Institute of Statistical Mathematics 2988 (%)
- Journal of Medical Systems 2297 (%)
- Metrika 2043 (%)
- Statistical Papers 1695 (%)
- Statistics and Computing 1238 (%)

#### Subject

##### ( see all 315)

- Statistics [x] 45079 (%)
- Statistics, general 20393 (%)
- Statistics for Business/Economics/Mathematical Finance/Insurance 17274 (%)
- Statistical Theory and Methods 11971 (%)
- Statistics for Life Sciences, Medicine, Health Sciences 10302 (%)

## CURRENTLY DISPLAYING:

Most articles

Fewest articles

Showing 11 to 20 of 45079 matching Articles
Results per page:

## Editorial

### Statistical Methods and Applications (2007-06-01) 16: 5 , June 01, 2007

## The MAP test for multimodality

### Journal of Classification (1994-03-01) 11: 5-36 , March 01, 1994

We introduce a test for detecting multimodality in distributions based on minimal constrained spanning trees. We define a Minimal Ascending Path Spanning Tree (MAPST) on a set of points as a spanning tree that has the minimal possible sum of lengths of links with the constraint that starting from any link, the lengths of the links are non-increasing towards a root node. We define similarly MAPSTs with more than one root. We present some algorithms for finding such trees. Based on these trees, we devise a test for multimodality, called the MAP Test (for Minimal Ascending Path). Using simulations, we estimate percentage points of the MAP statistic and assess the power of the test. Finally, we illustrate the use of MAPSTs for determining the number of modes in a distribution of positions of galaxies on photographic plates from a rich galaxy cluster.

## A Cautionary Note on Likelihood Ratio Tests in Mixture Models

### Annals of the Institute of Statistical Mathematics (2000-09-01) 52: 481-487 , September 01, 2000

We show that iterative methods for maximizing the likelihood in a mixture of exponentials model depend strongly on their particular implementation. Different starting strategies and stopping rules yield completely different estimators of the parameters. This is demonstrated for the likelihood ratio test of homogeneity against two-component exponential mixtures, when the test statistic is calculated by the EM algorithm.

## Local expectations of the population spectral distribution of a high-dimensional covariance matrix

### Statistical Papers (2014-05-01) 55: 563-573 , May 01, 2014

This paper discusses the relationship between the population spectral distribution and the limit of the empirical spectral distribution in high-dimensional situations. When the support of the limiting spectral distribution is split into several intervals, the population one gains a meaningful division, and general functional expectations of each part from the division, referred as local expectations, can be formulated as contour integrals around these intervals. Basing on these knowledge we present consistent estimators of the local expectations and prove a central limit theorem for them. The results are then used to analyze an estimator of the population spectral distribution in recent literature.

## Computational testing algorithmic procedure of assessment for lifetime performance index of Pareto products under progressive type I interval censoring

### Computational Statistics (2017-03-09): 1-20 , March 09, 2017

Process capability indices had been widely used to evaluate the process performance to the continuous improvement of quality and productivity. When the lifetime of products possesses a one-parameter Pareto distribution, the larger-the-better lifetime performance index is considered. The maximum likelihood estimator is used to estimate the lifetime performance index based on the progressive type I interval censored sample. The asymptotic distribution of this estimator is also investigated. We use this estimator to develop the new hypothesis testing algorithmic procedure in the condition of known lower specification limit. Finally, two practical examples are given to illustrate the use of this testing algorithmic procedure to determine whether the process is capable.

## 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.