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Related Concept Videos

Estimation of the Physical Quantities01:05

Estimation of the Physical Quantities

On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
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Setting Limits on Supersymmetry Using Simplified Models
07:46

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Published on: November 15, 2013

Precise estimation of cosmological parameters using a more accurate likelihood function.

Masanori Sato1, Kiyotomo Ichiki, Tsutomu T Takeuchi

  • 1Department of Physics, Nagoya University, Nagoya 464-8602, Japan. masanori@a.phys.nagoya-u.ac.jp

Physical Review Letters
|January 15, 2011
PubMed
Summary
This summary is machine-generated.

Estimating cosmological parameters requires accurate likelihood functions. Using a copula likelihood for weak lensing data improves dark energy equation of state measurements, avoiding systematic shifts seen with Gaussian likelihoods.

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Area of Science:

  • Cosmology
  • Astrophysics
  • Statistical Mechanics

Background:

  • Cosmological parameter estimation relies on likelihood functions.
  • Complex functional forms of likelihoods pose challenges.
  • Weak lensing surveys provide crucial cosmological data.

Purpose of the Study:

  • To develop a more accurate likelihood function for cosmological parameter estimation.
  • To investigate the impact of different likelihood functions on parameter accuracy.
  • To improve the estimation of the dark energy equation of state parameter (w).

Main Methods:

  • Adopted a Gaussian copula to construct a copula likelihood function.
  • Applied the copula likelihood to the convergence power spectrum from weak lensing data.
  • Compared parameter estimation results using copula and Gaussian likelihoods.

Main Results:

  • The Gaussian likelihood introduces systematic shifts in confidence regions.
  • These shifts are particularly significant for the dark energy equation of state parameter (w).
  • The copula likelihood provides a more reliable estimation.

Conclusions:

  • Copula likelihood functions are essential for accurate cosmological parameter estimation.
  • Future cosmological observations should utilize copula likelihoods for improved precision.
  • This method enhances the reliability of measurements for dark energy properties.