Comparison Between chi(2) and Bayesian Statistics with Considering the Redshift Dependence of Stretch and Color from JLA Data

doi:10.1088/0253-6102/71/9/1097

CORC > 理论物理研究所 > 中国科学院理论物理研究所 > 理论物理所科研产出 > 理论物理所1978-2010年知识产出

	Comparison Between chi(2) and Bayesian Statistics with Considering the Redshift Dependence of Stretch and Color from JLA Data
	Zhao, Ze 1,3
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2019
卷号	71 期号:9 页码:1097-1108
关键词	DARK ENERGY COSMOLOGICAL CONSTRAINTS LIGHT CURVES SUPERNOVAE
ISSN号	0253-6102
DOI	10.1088/0253-6102/71/9/1097
英文摘要	In this work, we compare the impacts given by chi(2) statistics and Bayesian statistics. Bayesian statistics is a new statistical method proposed by [C. Ma, P. S. Corasaniti, and B. A. Bassett, arXiv:1603.08519[astro-ph.CO](2016)] recently, which gives a fully account for the standard-candle parameter dependence of the data covariance matrix. For this two statistical methods, we explore the possible redshift-dependence of stretch-luminosity parameter alpha and color-luminosity parameter beta by using redshift tomography. By constraining the ACDM model, we check the consistency of cosmology-fit results given by the SN sample of each redshift bin. We also adopt the linear parametrization to explore the possible evolution of alpha and beta and the deceleration parameter q(z) for CPL, JBP, BA and Wang models. We find that: (i) Using the full JLA data, at high redshift alpha has a trend of decreasing at more than 1.5 sigma confidence level (CL), and beta has a significant trend of decreasing at more than 19 sigma CL. (ii) Compared with chi(2) statistics (constant alpha, beta) and Bayesian statistics (constant alpha, beta), Bayesian statistics (linear alpha and beta) yields a larger best-fit value of fractional matter density Omega(m)(0) from JLA+CMB+GC data, which is much closer to slightly deviates from the best-fit result given by other cosmological observations. (iii) The figure of merit (FoM) given by JLA+CMB+GC data from Bayesian statistics is also larger than the FoM from chi(2) statistics, which indicates that former statistics has a better accuracy. (iv) q(z) given by both statistical methods favor an eternal cosmic acceleration at 1 sigma CL.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/26944]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Kavli Inst Theoret Phys China, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Ze. Comparison Between chi(2) and Bayesian Statistics with Considering the Redshift Dependence of Stretch and Color from JLA Data[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2019,71(9):1097-1108.
APA	Zhao, Ze.(2019).Comparison Between chi(2) and Bayesian Statistics with Considering the Redshift Dependence of Stretch and Color from JLA Data.COMMUNICATIONS IN THEORETICAL PHYSICS,71(9),1097-1108.
MLA	Zhao, Ze."Comparison Between chi(2) and Bayesian Statistics with Considering the Redshift Dependence of Stretch and Color from JLA Data".COMMUNICATIONS IN THEORETICAL PHYSICS 71.9(2019):1097-1108.