On a flexible class of asymmetric mixture normal distribution and its applications-Reference-Cited by-同舟云学术

On a flexible class of asymmetric mixture normal distribution and its applications

Published:2023-01-30 Issue:1 Volume:31 Page:1-8
ISSN:0926-6364
Container-title:Random Operators and Stochastic Equations
language:en
Short-container-title:

Author:

Satheesh Kumar C.¹^ORCID,Anila G. V.¹^ORCID

Affiliation:

1. Department of Statistics , University of Kerala , Trivandrum - 695581 , India

Abstract

Abstract Here we consider a more flexible class of asymmetric mixture normal distribution and investigate some of its important statistical properties. We define its location-scale extension and discuss the method of maximum likelihood for estimating its parameters. Two real life data sets are considered for illustrating the usefulness of the model. Further, a simulation study is carried out for examining the efficiency of maximum likelihood estimators of the parameters of the distribution.

Publisher

Walter de Gruyter GmbH

Subject

Statistics and Probability,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/rose-2022-2092/pdf

Reference13 articles.

1. A. Azzalini, A class of distributions which includes the normal ones, Scand. J. Stat. 12 (1985), no. 2, 171–178.

2. A. Azzalini, Further results on a class of distributions which includes the normal ones, Statistica (Bologna) 46 (1986), no. 2, 199–208.

3. A. Buccianti, Meaning of the λ parameter of skew–normal and log–skew normal distributions in fluid geochemistry, Proceedings of CoDaWork’05, Universitat de Girona, Girona (2005), 1–15.

4. R. D. Cook and S. Weisberg, An Introduction to Regression Analysis, John Wiley & Sons, New York, 1994.

5. B. E. Ellison, Two theorems for inferences about the normal distribution with applications in acceptance sampling, J. Amer. Statist. Assoc. 59 (1964), 89–95.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Generalized asymmetric mixture normal distribution: properties and applications;Communications in Statistics - Simulation and Computation;2024-01-03