A Skew-Normal Bayesian Semi-parametric Latent Trait Linear Mixed Effect ModelJournal of Statistical Theory and Practice - - 2024
Weiwei He, Janice Zgibor, Jongphil Kim
Clinical trials have longitudinally collected the biomarkers that may be associated with the time-to-event endpoints via latent variables such as disease severity. These longitudinal data may consist of different types of measurements. The multilevel item response theory (MLIRT) model is widely used in several fields including public health and health sciences, for these longitudinal outcomes. How...... hiện toàn bộ
Estimation of Parameters of the Unified Skew Normal Distribution Using the Method of Weighted MomentsJournal of Statistical Theory and Practice - Tập 6 - Trang 402-416 - 2012
Arjun K. Gupta, Mohammad A. Aziz
Modeling skewness based on the class of skew normal distributions has drawn considerable attention in recent years. However, there still remain lots of challenges related to the inferences about the parameters of the skew normal distribution. In this article, we study the weighted moments estimators for the unified skew normal distribution. Our analytical results and numerical illustrations show t...... hiện toàn bộ
Optimality of Some Row–Column DesignsJournal of Statistical Theory and Practice - Tập 17 - Trang 1-25 - 2023
J. P. Morgan, Sunanda Bagchi
Latin squares, Youden squares, and Generalized Youden designs are optimal row–column designs sharing a common characteristic: in each case the two component block designs determined by rows and columns are restricted to the special types of balanced block design known as BIBDs, RCBDs, or more generally BBDs. This article takes up the optimality problem when it is possible to have a BIBD column com...... hiện toàn bộ
Fast Bayesian Estimation for VARFIMA Processes with Stable ErrorsJournal of Statistical Theory and Practice - Tập 4 - Trang 663-677 - 2010
Jeffrey S. Pai, Nalini Ravishanker
We present an approach via a multivariate preconditioned conjugate gradient (MPCG) algorithm for Bayesian inference for vector ARFIMA models with sub-Gaussian stable errors. This approach involves solution of a block-Toeplitz system, and treating the unobserved process history and the underlying positive stable process as unknown parameters in the joint posterior. We use Gibbs sampling with the Me...... hiện toàn bộ
On the accuracy of fixed sample and fixed width confidence intervals based on the vertically weighted averageJournal of Statistical Theory and Practice - Tập 11 - Trang 375-392 - 2017
Ansgar Steland
Vertically weighted averages perform a bilateral filtering of data, in order to preserve fine details of the underlying signal, especially discontinuities such as jumps (in one dimension) or edges (in two dimensions). In homogeneous regions of the domain the procedure smoothes the data by averaging nearby data points to reduce the noise, whereas in inhomogeneous regions the neighboring points are ...... hiện toàn bộ
Về các Tập Hiệu (p2, p, p2, p) trong ℤ3 p Dịch bởi AI Journal of Statistical Theory and Practice - Tập 6 - Trang 88-96 - 2012
Yutaka Hiramine
Trong bài viết này, chúng tôi xem xét các Tập Hiệu (p2, p, p2, p) trong ℤ3 p. Nhiều lớp của các tập hiệu này đã được biết đến. Chúng tôi phân loại các lớp này thành hai loại điển hình và mô tả đặc điểm của chúng.
#Tập hiệu #phân loại #lý thuyết tập hợp #toán học tổ hợp
Recent developments in systematic sampling: A reviewJournal of Statistical Theory and Practice - Tập 12 - Trang 290-310 - 2018
Sayed A, Ibrahim A
Systematic sampling is one of the most prevalent sampling techniques. The popularity of the systematic design is mainly due to its practicality. Compared with simple random sampling, it is easier to draw a systematic sample, especially when the selection of sample units is done in the field. In addition, systematic sampling can provide more precise estimators than simple random sampling when expli...... hiện toàn bộ
On the role of the prior in multiplicity adjustmentJournal of Statistical Theory and Practice - Tập 10 - Trang 263-290 - 2016
Dandan Li, Siva Sivaganesan
Multiplicity adjustment in Bayesian analysis is achieved through the use of a prior distribution, for the probability that a variable is in the (unknown) model in the context of model selection, or for the probability that a null hypothesis is true in the context of multiple testing. However, it is not obvious how the prior distribution brings about multiplicity adjustment. In 2010 Scott and Berge...... hiện toàn bộ
Maximum Likelihood Estimation of Asymmetric Double Type II Pareto DistributionsJournal of Statistical Theory and Practice - Tập 14 - Trang 1-34 - 2020
Daniel Halvarsson
This paper considers a flexible class of asymmetric double Pareto distributions (ADP) that allows for skewness and asymmetric heavy tails. The inference problem is examined for maximum likelihood. Consistency is proven for the general case when all parameters are unknown. After deriving the Fisher information matrix, asymptotic normality and efficiency are established for a restricted model with t...... hiện toàn bộ