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VDM Verlag Some Statistical Methods to Determine Cosmological Distances: National Research Institute in Astronomy and Geophysics

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Description

In this thesis, we introduce some theoretical statistical studies of some distribution functions to calculate distances for some stellar groups in our galaxy. Along the Gaussian method suggested by Sharaf et. al. (2003), we continued with some modifications resulted in Gaussian A, B, C. The Malmquist bias was taken into account. We added the percentage error to determine the dispersion for spectral type and subtypes. The philosophy of the Gaussian A, B, C is due to changes in the limits of integrands due to what we named mg and mL (defined later). These changes are related to the sun, the sample and the telescopes used. In turn it changed the shape of the integrands, and gave, as we believe, more accurate results compared to others. The Exponential distribution function was then used and treated following the same procedure as the Gaussian. We found that the method as such does not contain the transcendental parameter. Taylor expansion was then used with the first two terms as approximation. The fourth and sixth terms were derived but, they diverge.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
16 October 2017
Listed Since
09 November 2017

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