지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국통계학회 CSAM(Communications for Statistical Applications and Methods) CSAM(Communications for Statistical Applications and Methods) 제31권 제6호
- 발행연도
- 2024.11
- 수록면
- 645 - 659 (15page)
이용수
초록· 키워드
오류제보하기
This study investigates the Charlier series approximation for modeling nonhomogeneous Poisson processes. It focuses on mixtures of Poisson distributions and Markov-Modulated Poisson processes to address complex temporal data patterns, such as hospital admission rates. The Charlier series approximation is constructed by expanding probability mass functions using Charlier orthogonal polynomials, which allow for adjustments to reflect higher-order moments like skewness and kurtosis. These polynomials are combined with a Poisson weight function to create flexible approximations tailored to the variability in event rates. Two artificial examples demonstrate the method’s effectiveness in capturing dynamic event behaviors. A real-world application to hospital admission data further highlights its practical utility. Performance is assessed using Kullback-Leibler divergence, quantifying the improvement over simple Poisson models. The results show that the Charlier series provides enhanced data fitting and deeper insights into complex probabilistic structures.
목차
Abstract
1. Introduction
2. Theoretical background
3. Methodology
4. Numerical examples
5. Concluding remarks
References
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
On some new type of generating functions of generalized Poisson-Charlier polynomials
대한수학회논문집
2022 .01
-
Szasz-Kantorovich Type Operators Based on Charlier Polynomials
Kyungpook Mathematical Journal
2016 .01
-
Statistical Approximation of Szasz Type Operators Based on Charlier Polynomials
Kyungpook Mathematical Journal
2019 .01
-
Applications of Poisson Hidden Markov models to PM10 concentrations data
Journal of The Korean Data Analysis Society
2022 .08
-
Applications of the Conway-Maxwell-Poisson Hidden Markov models for analyzing traffic accident
Journal of The Korean Data Analysis Society
2022 .10
-
A Study on Tests for Zero-Inflated Poisson Regression
Journal of The Korean Data Analysis Society
2019 .01
-
Cohomology ring of the tensor product of Poisson algebras
대한수학회지
2020 .01
-
The Asymptotic Behaviour of the Averaging Value of Some Dirichlet Series Using Poisson Distribution
East Asian Mathematical Journal
2019 .01
-
Restricted polynomial extensions
대한수학회보
2021 .01
-
Generalized zero-inated Poisson regression mixture model for fitting health-related data
한국데이터정보과학회지
2022 .01
-
A Simple Method to Obtain Maximum Likelihood Estimates for Identity Poisson Regression Models
Journal of The Korean Data Analysis Society
2015 .01
-
근사적 옵션 가격의 수치적 비교
응용통계연구
2017 .04
-
A NOTE ON IDENTITIES INVOLVING SPECIAL NUMBERS AND MOMENTS OF POISSON RANDOM VARIABLE
Advanced Studies in Contemporary Mathematics
2022 .10
-
Krawtchouk Polynomial Approximation for Binomial Convolutions
Kyungpook Mathematical Journal
2017 .01
-
On the Poisson process of the Korean earthquakes
Geosciences Journal
2016 .01
-
A Study on Two Subclasses of Analytic and Univalent Functions with Negative Coefficients Involving the Poisson Distribution Series
Kyungpook Mathematical Journal
2024 .03
-
Optimal designs for small Poisson regression experiments using second-order asymptotic
CSAM(Communications for Statistical Applications and Methods)
2019 .11
-
Application of the Weibull-Poisson long-term survival model
CSAM(Communications for Statistical Applications and Methods)
2017 .07
-
Erratum to “Comparative analysis of Bayesian and maximum likelihood estimators in change point problems with Poisson process”
한국데이터정보과학회지
2015 .04
-
A NATURAL MAP ON AN ORE EXTENSION
충청수학회지
2018 .01
최근 본 자료
댓글(0)
0
UCI(KEPA) : I410-151-25-02-091195442