Toward unbiased estimations of the statefinder parameters

被引:63
作者
Aviles, Alejandro [1 ,2 ,3 ]
Klapp, Jaime [1 ,3 ]
Luongo, Orlando [4 ,5 ,6 ,7 ]
机构
[1] IPN, Ctr Matemat Aplicadas & Comp Alto Rendimiento, Ctr Invest & Estudios Avanzados Cinvestav Cinves, Dept Matemat,ABACUS, Carretera Mexico Toluca Km 38-5, Ocoyoacac 52740, Estado De Mexic, Mexico
[2] Consejo Nacl Invest Cient & Tecn, Av Insurgentes Sur 1582, Mexico City 03940, DF, Mexico
[3] ININ, Dept Fis, Carretera Mexico Toluca Km 36-5, Ocoyoacac 52750, Estado De Mexic, Mexico
[4] Univ Cape Town, Dept Math & Appl Math, ZA-7701 Cape Town, South Africa
[5] Univ Cape Town, ACGC, ZA-7701 Cape Town, South Africa
[6] Univ Napoli Federico II, Dipartimento Fis, Via Cinthia, I-80126 Naples, Italy
[7] Ist Nazl Fis Nucl, Sez Napoli, Via Cinthia, I-80126 Naples, Italy
基金
新加坡国家研究基金会;
关键词
Cosmography; Dark energy; Kinematics of the universe; COSMOLOGICAL CONSTANT PROBLEM; DARK ENERGY; ACCELERATING UNIVERSE; SUPERNOVAE;
D O I
10.1016/j.dark.2017.07.002
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
With the use of simulated supernova catalogs, we show that the statefinder parameters turn out to be poorly and biased estimated by standard cosmography. To this end, we compute their standard deviations and several bias statistics on cosmologies near the concordance model, demonstrating that these are very large, making standard cosmography unsuitable for future and wider compilations of data. To overcome this issue, we propose a new method that consists in introducing the series of the Hubble function into the luminosity distance, instead of considering the usual direct Taylor expansions of the luminosity distance. Moreover, in order to speed up the numerical computations, we estimate the coefficients of our expansions in a hierarchical manner, in which the order of the expansion depends on the redshift of every single piece of data. In addition, we propose two hybrids methods that incorporates standard cosmography at low redshifts. The methods presented here perform better than the standard approach of cosmography both in the errors and bias of the estimated statefinders. We further propose a one-parameter diagnostic to reject non-viable methods in cosmography. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:25 / 37
页数:13
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