On Study of the Occurrence of Earth-Size Planets in Kepler Mission Using Spatial Poisson Model
The problem of determining the occurrence rate for Earth-size planets orbiting Sun-like stars is emerging in the universe. We propose a methodology based on a spatial Poisson regression model with model parameters being inferred by the Bayesian framework to investigate this occurrence rate. We analy...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/11/2508 |
| _version_ | 1797597117949149184 |
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| author | Hong-Ding Yang Yun-Huan Lee Che-Yang Lin |
| author_facet | Hong-Ding Yang Yun-Huan Lee Che-Yang Lin |
| author_sort | Hong-Ding Yang |
| collection | DOAJ |
| description | The problem of determining the occurrence rate for Earth-size planets orbiting Sun-like stars is emerging in the universe. We propose a methodology based on a spatial Poisson regression model with model parameters being inferred by the Bayesian framework to investigate this occurrence rate. We analyzed an exoplanet sample and its corresponding survey completeness data. Our results suggest that 46% of Sun-like stars have an Earth-size (i.e., 1–2 times Earth radii) planet with an orbital period of 5–100 days. Furthermore, we are also interested in the occurrence rate of Earth analogs hosted by GK dwarf stars (i.e., orbital period of 200–400 days and size 1–2 times Earth radii). After completeness correction, we obtained an occurrence rate of 0.18% based on the proposed methodology. |
| first_indexed | 2024-03-11T03:02:16Z |
| format | Article |
| id | doaj.art-083a9623adee4a10810baff01e0d5ea3 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T03:02:16Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-083a9623adee4a10810baff01e0d5ea32023-11-18T08:12:59ZengMDPI AGMathematics2227-73902023-05-011111250810.3390/math11112508On Study of the Occurrence of Earth-Size Planets in Kepler Mission Using Spatial Poisson ModelHong-Ding Yang0Yun-Huan Lee1Che-Yang Lin2Institute of Statistics, National University of Kaohsiung, Kaohsiung 81148, TaiwanDepartment of Finance, Ming Chuan University, Taipei 11103, TaiwanDepartment of Business Administration, Yuanpei University of Medical Technology, Hsinchu 30015, TaiwanThe problem of determining the occurrence rate for Earth-size planets orbiting Sun-like stars is emerging in the universe. We propose a methodology based on a spatial Poisson regression model with model parameters being inferred by the Bayesian framework to investigate this occurrence rate. We analyzed an exoplanet sample and its corresponding survey completeness data. Our results suggest that 46% of Sun-like stars have an Earth-size (i.e., 1–2 times Earth radii) planet with an orbital period of 5–100 days. Furthermore, we are also interested in the occurrence rate of Earth analogs hosted by GK dwarf stars (i.e., orbital period of 200–400 days and size 1–2 times Earth radii). After completeness correction, we obtained an occurrence rate of 0.18% based on the proposed methodology.https://www.mdpi.com/2227-7390/11/11/2508conditional autoregressive modelMarkov chain Monte Carlooccurrence ratespatial Poisson model |
| spellingShingle | Hong-Ding Yang Yun-Huan Lee Che-Yang Lin On Study of the Occurrence of Earth-Size Planets in Kepler Mission Using Spatial Poisson Model Mathematics conditional autoregressive model Markov chain Monte Carlo occurrence rate spatial Poisson model |
| title | On Study of the Occurrence of Earth-Size Planets in Kepler Mission Using Spatial Poisson Model |
| title_full | On Study of the Occurrence of Earth-Size Planets in Kepler Mission Using Spatial Poisson Model |
| title_fullStr | On Study of the Occurrence of Earth-Size Planets in Kepler Mission Using Spatial Poisson Model |
| title_full_unstemmed | On Study of the Occurrence of Earth-Size Planets in Kepler Mission Using Spatial Poisson Model |
| title_short | On Study of the Occurrence of Earth-Size Planets in Kepler Mission Using Spatial Poisson Model |
| title_sort | on study of the occurrence of earth size planets in kepler mission using spatial poisson model |
| topic | conditional autoregressive model Markov chain Monte Carlo occurrence rate spatial Poisson model |
| url | https://www.mdpi.com/2227-7390/11/11/2508 |
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