Estimation of transition redshift based on Reinsch splines

Many schemes have been proposed to define a model-independent con- straint on cosmological dynamics, such as the nonparametric dark energy equation of state ω（z） or the deceleration parameter q（z）. These methods usually contain deriva- tives with respect to observational data with noise. However, th...

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Bibliographic Details
Published in:Research in astronomy and astrophysics 2015-03, Vol.15 (3), p.305-312
Main Authors: Lü, Guo-Dong, Liu, De-Zi, Yuan, Shuo, Zhang, Tong-Jie
Format: Article
Language:English
Subjects:
Astronomy
Dark energy
Deceleration
Derivatives
Mathematical models
Noise
Numerical differentiation
Red shift
Splines
三次样条函数
估计值
数值微分
红移
能量公式
衍生产品
观测数据
非确定性
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Summary:Many schemes have been proposed to define a model-independent con- straint on cosmological dynamics, such as the nonparametric dark energy equation of state ω（z） or the deceleration parameter q（z）. These methods usually contain deriva- tives with respect to observational data with noise. However, there can be large un- certainties when one estimates values with numerical differentiation, especially when noise is significant. We introduce a global numerical differentiation method, first for- mulated by Reinsch, which is smoothed by cubic spline functions, and apply it to the estimation of the transition redshift zt with a simulated expansion rate E（z） based on observational Hubble parameter data. We also discuss some deficiencies and limita-tions of this method.
ISSN:1674-4527
2397-6209
DOI:10.1088/1674-4527/15/3/001