Modern Directional Statistics collects important advances in methodology and theory for
directional statistics over the last two decades. It provides a detailed overview and analysis …

A Balanced Treatment of Bayesian and Frequentist Inference Statistical Inference: An
Integrated Approach, Second Edition presents an account of the Bayesian and frequentist …

The special manifolds of interest in this book are the Stiefel manifold and the Grassmann
manifold. Formally, the Stiefel manifold Vk, m is the space of k frames in the m-dimensional …

This paper reviews the literature on Bartlett and Bartlett-type corrections. It focuses on the
corrections to the likelihood ratio, score and Wald test statistics. Three different Bartlett-type …

When modeling directional data, that is, unit-norm multivariate vectors, a first natural
question is to ask whether the directions are uniformly distributed or, on the contrary …

Kashgar Oasis is an ecologically fragile area in the southern margin of the Tarim Basin,
which is affected by both natural conditions and human activities. Exploring the …

We develop nearly unbiased estimators for the two-parameter Birnbaum–Saunders
distribution [Birnbaum, ZW, Saunders, SC, 1969a. A new family of life distributions. J. Appl …

Suppose that a nonnegative statistic T is asymptotically distributed as a chi-squared
distribution with f degrees of freedom, χ2f, as a positive number n tends to infinity. Bartlett …

In medical meta‐analysis, the DerSimonian‐Laird confidence interval for the average
treatment effect has been widely adopted in practice. However, it is well known that its …

(1) Background: Coronavirus disease 2019 (COVID-19) is a dominant, rapidly spreading
respiratory disease. However, the factors influencing COVID-19 mortality still have not been …