activity
20232026
most citedAn analysis of multivariate measures of skewness and kurtosis of skew-elliptical distributions

1 citations · 1 across the 6 of their papers we have counts for

collaborators

8 papers

math.CV2026

Absolute moments of GH distribution

Chuancun Yin

In this work, we focus on deriving the absolute moments of the general ized hyperbolic (GH) distribution via its mean-variance mixture structure. Conditioning on the GIG mixing var…

math.ST2026

Quantifying Dependence Between Random Vectors: A New Index with Applications

Chuancun yin

This article proposes a new index for quantifying the degree of dependence between random vectors. The index takes values in [0,1] and equals zero if and only if the random vectors…

q-fin.RM2025

Analyzing distortion riskmetrics and weighted entropy for unimodal and symmetric distributions under partial information constraints

Baishuai Zuo, Chuancun Yin

In this paper, we develop the lower and upper bounds of worst-case distortion riskmetrics and weighted entropy for unimodal, and symmetric unimodal distributions when mean and vari…

q-fin.RM2024

Best- and worst-case Scenarios for GlueVaR distortion risk measure with Incomplete information

Mengshuo Zhao, Chuancun Yin

This paper derives the best- and worst-case GlueVaR distortion risk measure within a unified framework, based on partial information of the underlying distributions and shape infor…

q-fin.RM2024

Worst-cases of distortion riskmetrics and weighted entropy with partial information

Baishuai Zuo, Chuancun Yin

In this paper, we discuss the worst-case of distortion riskmetrics for general distributions when only partial information (mean and variance) is known. This result is applicable t…

q-fin.RM2024

Extremal cases of distortion risk measures with partial information

Mengshuo Zhao, Narayanaswamy Balakrishnan, Chuancun Yin +1

This paper investigates the impact of distributional uncertainty on key risk measures under the partial knowledge of underlying distributions characterized by their first two momen…

math.ST2023★ 1 cited

An analysis of multivariate measures of skewness and kurtosis of skew-elliptical distributions

Baishuai Zuo, Narayanaswamy Balakrishnan, Chuancun Yin

This paper examines eight measures of skewness and Mardia measure of kurtosis for skew-elliptical distributions. Multivariate measures of skewness considered include Mardia, Malkov…

math.ST2023

Stochastic representations and probabilistic characteristics of multivariate skew-elliptical distributions

Chuancun Yin, Narayanaswamy Balakrishnan

The family of multivariate skew-normal distributions has many interesting properties. It is shown here that these hold for a general class of skew-elliptical distributions. For thi…