i need Q2 part C (c) Assume that H==EH,. Express 0 in terms of a and B. What is bias(0)?%3D(Note: you do not need to calculate the mean of Jan inverse gamma random variablelook up the mean in a distribution table or on Wikipedia.)(d) Is é consistent for 0? Part 1: individualLet H denote the true Hubble constant. The age of the universe can be expressed in years asH.where e is the conversion factor Mpe/km)Cyrar)= 978, 440, 076,094.1. Consider 0 = cH-, Compute an estimate of 6 using the estimator 8 and the supernova data.%3D2. Now suppose that H1,..., H36 gamma(a, 3) with densityf(h) =h>0F(a)(a) What is the distribution of H?(b) Show that U = H-' has an inverse gamma distribution with density(n8) na)g(u) =T(na)%3D(Hint: for z> 0, the function is monotone decreasing.)

Name: i need Q2 part C (c) Assume that H==EH,. Express 0 in terms of a and B
Uploaded: 2024-03-20T06:38:44.000Z
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Description: i need Q2 part C (c) Assume that H==EH,. Express 0 in terms of a and B. What is bias(0)?%3D(Note: you do not need to calculate the mean of Jan inverse gamma random variablelook up the mean in a distribution table or on Wikipedia.)(d) Is é consistent

C) From the given information, EH=αβ, since, H follows Gamma distribution EH¯-1=nβnα-1, since, H¯-1…

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Assume that H = = EH,. Express 0 in terms of a and B. What is bias(@)? %3D %3D (Note: you do not need to calculate the mean of jun inverse gamma random variab look up the mean in a distribution table or on Wikipedia.)