[KNIHA][B] Topics in circular statistics

SR Jammalamadaka, A Sengupta - 2001 - books.google.com
This research monograph on circular data analysis covers some recent advances in the
field, besides providing a brief introduction to, and a review of, existing methods and models …

Optimal designs for multiresponse models with double covariance structure

JM Rodríguez-Díaz, G Sánchez-León - Chemometrics and Intelligent …, 2019 - Elsevier
In many scientific disciplines, experiments are conducted in order to get information about
the model or about different characteristics of the data. Quite often more than one variable is …

Optimal designs for first-order trigonometric regression on a partial cycle

H Wu - Statistica Sinica, 2002 - JSTOR
Trigonometric regression is commonly used to describe cyclic phenomena that occur in the
engineering, biological, and medical sciences. Optimal designs for this model on a complete …

Optimality criteria for multiresponse linear models based on predictive ellipsoids

X Liu, RX Yue, FJ Hickernell - Statistica Sinica, 2011 - JSTOR
This paper proposes a new class of optimum design criteria for the linear regression model
with r responses based on the volume of the predictive ellipsoid. This is referred to as I^r_L …

Equivalence theorem for Schur optimality of experimental designs

R Harman - Journal of statistical planning and inference, 2008 - Elsevier
An experimental design is said to be Schur optimal, if it is optimal with respect to the class of
all Schur isotonic criteria, which includes Kiefer's criteria of Φp-optimality, distance optimality …

Estimating the parameters of a circle by heteroscedastic regression models

SJ Yin, SG Wang - Journal of statistical planning and inference, 2004 - Elsevier
For fitting a circle to a set of noisy data, a statistical treatment is given using a linear model
with heteroscedastic variances when angular differences between successive data points …

[HTML][HTML] D-optimal design for the heteroscedastic Berman model on an arc

X Liu, RX Yue, WK Wong - Journal of Multivariate Analysis, 2018 - Elsevier
There are various methods for fitting data to circles or ellipses in many different types of
applied problems. However, the design of such studies is rarely discussed and for the few …

A stratified sampling model in spherical feature inspection using coordinate measuring machines

KT Fang, SG Wang, G Wei - Statistics & probability letters, 2001 - Elsevier
A coordinate measuring machine (CMM) is a computer-controlled device that uses a probe
to obtain measurements on a manufactured part's surface. In the process of collecting …

Exact-optimal designs for first-order trigonometric regression models on a partial circle

FC Chang, L Imhof, YY Sun - Metrika, 2013 - Springer
Recently, various approximate design problems for low-degree trigonometric regression
models on a partial circle have been solved. In this paper we consider approximate and …

Design and analysis of experiments for directional data

SB Otieno, CM Anderson-Cook - Design and analysis of …, 2012 - Wiley Online Library
Directional data arise in a variety of applications, and while designed experiments are
moderately rare for circular, cylindrical, and spherical data, there has been some work on …