Journal of Statistical Theory and Practice

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A Skew-Normal Bayesian Semi-parametric Latent Trait Linear Mixed Effect Model
Journal 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 Moments
Journal 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 Designs
Journal 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
Analytical-Numeric Formulas for the Probability Density Function of Multivariate Stable and Geo-Stable Distributions
Journal of Statistical Theory and Practice - - 2014
Hasan Fallahgoul, S. M. Hashemiparast, Frank J. Fabozzi, Lev B. Klebanov
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
On the role of the prior in multiplicity adjustment
Journal 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
Cost-Efficient Mixed-Level Covering Designs for Testing Experiments
Journal of Statistical Theory and Practice - - 2019
Yasmeen Akhtar, Frederick Kin Hing Phoa
A covering design is a traditional class of experimental plans for hardware and software testing purposes. This paper presents a class of size-optimal covering designs for testing experiments with mixed-level factors. Among all the factors of different levels, one or two factors have a high number of levels while other factors form a full factorial so that all level combinations among factor pairs...... hiện toàn bộ
A-Optimal Factorial Designs for Test Versus Control Comparisons
Journal of Statistical Theory and Practice - Tập 14 - Trang 1-8 - 2020
Feng-Shun Chai, Ashish Das
The majority of the existing work on factorial designs centers around the well-known orthogonal parametrization. In particular, main-effect plans compare the treatment levels of each factor by means of orthogonal parametrization. In contrast, significant research has been carried out for single-factor experiments for comparing a set of test treatments with a control treatment. Here, the comparison...... hiện toàn bộ
Cluster-based least absolute deviation regression for dimension reduction
Journal of Statistical Theory and Practice - Tập 10 - Trang 121-132 - 2016
Yuexiao Dong, Chaozheng Yang
Least absolute deviation (LAD) regression is an important alternative to ordinary least squares (OLS) regression in linear models. A surprising result in Li and Duan (1989) showed that OLS can be used for dimension reduction in single-index models as long as the predictor distribution satisfies a global linear conditional mean assumption. The proposal in Li and Duan (1989) has two limitations. Fir...... hiện toàn bộ
Approximations for the Likelihood Ratio Statistic for Hypothesis Testing Between Two Beta Distributions
Journal of Statistical Theory and Practice - Tập 13 - Trang 1-24 - 2018
Filipe Marques, Frank Coolen, Tahani Coolen-Maturi
In this paper, the likelihood ratio to test between two Beta distributions is addressed. The exact distribution of the likelihood ratio statistic, for simple hypotheses, is obtained in terms of Gamma or Generalized Integer Gamma distributions, when the first or the second of the two parameters of the Beta distributions are equal and integers. In the remaining cases addressed, near-exact or asympto...... hiện toàn bộ
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