文章基本信息

标题：Distance and luminosity probability distributions derived from parallax and flux with their measurement errors - With application to the millisecond pulsar PSR J0218+4232
其他标题：With application to the millisecond pulsar PSR J0218+4232
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作者：Andrei Igoshev ; Andrei Igoshev ; Frank Verbunt 等
期刊名称：Astronomy & Astrophysics
印刷版ISSN：0004-6361
电子版ISSN：1432-0746
出版年度：2016
卷号：591
页码：1-10
DOI：10.1051/0004-6361/201527471
语种：English
出版社：EDP Sciences
摘要：We use a Bayesian approach to derive the distance probability distribution for one object from its parallax with measurement uncertainty for two spatial distribution priors, a homogeneous spherical distribution and a galactocentric distribution – applicable for radio pulsars – observed from Earth. We investigate the dependence on measurement uncertainty, and show that a parallax measurement can underestimate or overestimate the actual distance, depending on the spatial distribution prior. We derive the probability distributions for distance and luminosity combined – and for each separately when a flux with measurement error for the object is also available – and demonstrate the necessity of and dependence on the luminosity function prior. We apply this to estimate the distance and the radio and gamma-ray luminosities of PSR J0218+4232. The use of realistic priors improves the quality of the estimates for distance and luminosity compared to those based on measurement only. Use of the wrong prior, for example a homogeneous spatial distribution without upper bound, may lead to very incorrect results.
关键词：methods: statistical;stars: luminosity function, mass function;pulsars: general;pulsars: individual: PSR J0218+4232