Let H denote the true Hubble constant. The age of the universe can be expressed in years as where e is the conversion factor Mpe/km) Cwear) = 978, 440, 076,094. 1. Consider 6 - cH-, Compute an estimate of 6 using the estimator 0 and the supernova data. %3D id 2. Now suppose that H,. H36 gamma(a, 3) with density f(h)- F(a) h>0 !! (a) What is the distribution of H? (b) Show that U = H- has an inverse gamma distribution with density (n8) na) T(na) g(u) = no-1,- (Hint: for z> 0, the function is monotone decreasing.)
Let H denote the true Hubble constant. The age of the universe can be expressed in years as where e is the conversion factor Mpe/km) Cwear) = 978, 440, 076,094. 1. Consider 6 - cH-, Compute an estimate of 6 using the estimator 0 and the supernova data. %3D id 2. Now suppose that H,. H36 gamma(a, 3) with density f(h)- F(a) h>0 !! (a) What is the distribution of H? (b) Show that U = H- has an inverse gamma distribution with density (n8) na) T(na) g(u) = no-1,- (Hint: for z> 0, the function is monotone decreasing.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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