On the Krawtchouk expansion for estimating counting data
- Authors
- 하형태
- Issue Date
- 2019
- Publisher
- 한국데이터정보과학회
- Keywords
- binomial distribution; counting data; dispersion; Krawtchouk polynomials; Weldon' s data
- Citation
- 한국데이터정보과학회지, v.30, no.3, pp.693 - 702
- Journal Title
- 한국데이터정보과학회지
- Volume
- 30
- Number
- 3
- Start Page
- 693
- End Page
- 702
- URI
- https://scholarworks.bwise.kr/gachon/handle/2020.sw.gachon/2494
- ISSN
- 1598-9402
- Abstract
- We propose Krawtchouk expansion estimates for modeling count data. The proposed estimate is based on series expansions of discrete Krawtchouk orthogonal polynomials around a binomial distribution. The parameters of the proposed expansion can be estimated via the method of moments or the maximum likelihood method. The proposed expansion is flexible to model under-, equi- and over dispersed data. The classical Weldon's data was revisited to show the flexibility and accuracy of the proposed expansion.
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