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
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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.)

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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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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 variable
look up the mean in a distribution table or on Wikipedia.)
(d) Is é consistent for 0?

Part 1: individual
Let H denote the true Hubble constant. The age of the universe can be expressed in years as
H.
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.
%3D
2. Now suppose that H1,..., H36 gamma(a, 3) with density
f(h) =
h>0
F(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.)

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