Power law relating 10.7 cm flux to sunspot number |
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| Authors: | Robert W. Johnson |
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| Affiliation: | (1) Division of Cardiology, Rabin Medical Centre, Beilinson Campus, Petah Tikva, Israel;(2) Sackler Faculty of Medicine, Tel Aviv University, Tel Aviv, Israel;(3) Department of Community Genetics, Ministry of Health, Beilinson Campus, Petah Tikva, Israel;(4) Department of Medical Genetics, Rabin Medical Centre, Beilinson Campus, Petah Tikva, Israel;(5) Cytogenetic Laboratory, Herzliya Medical Centre, Institute of Medical Genetics, Hadassah University Hospital, Ein Kerem, Jerusalem, Israel;(6) Cytogenetic Laboratory, Herzliya Medical Centre, Institute of Medical Genetics, Bnai Zion Medical Centre, Haifa, Israel;(7) Cytogenetic Laboratory, Herzliya Medical Centre, Institute of Medical Genetics, Meir Medical Centre, Kfar Saba, Israel;(8) Cytogenetic Laboratory, Herzliya Medical Centre, Institute of Medical Genetics, Rambam Medical Centre, Haifa, Israel;(9) Cytogenetic Laboratory, Herzliya Medical Centre, Institute of Medical Genetics, Soroka Medical Centre, Beersheba, Israel;(10) Cytogenetic Laboratory, Herzliya Medical Centre, Institute of Medical Genetics, Sheba Medical Centre, Tel Hashomer, Israel;(11) Cytogenetic Laboratory, Herzliya Medical Centre, Institute of Medical Genetics, Ha!["rsquo"]("xlarge8217.gif") emek Hospital, Afula, Israel, Israel;(12) Cytogenetic Laboratory, Herzliya Medical Centre, Institute of Medical Genetics, Kaplan Medical Centre, Rehovot, Israel;(13) Cytogenetic Laboratory, Herzliya Medical Centre, Institute of Medical Genetics, Assaf Harofeh Medical Centre, Israel;(14) Cytogenetic Laboratory, Herzliya Medical Centre, Institute of Medical Genetics, Wolfson Medical Centre, Holon, Israel |
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| Abstract: | To investigate the relation between observations of the 10.7 cm flux and the international sunspot number so that a physical unit may be ascribed to historical records, both polynomial and power law models are developed giving the radio flux as a function of sunspot number and vice versa. Bayesian data analysis is used to estimate the model parameters and to discriminate between the models. The effect on the parameter uncertainty and on the relative evidence of normalizing the measure of fit is investigated. The power law giving flux as a function of sunspot number is found to be the most plausible model and may be used to estimate the radio flux from historical sunspot observations. |
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