Asked by Juanpro
As on the previous page, let X1,…,Xn be i.i.d. with pdf
fθ(x)=θxθ−11(0≤x≤1)
where θ>0.
(a)
2 puntos posibles (calificables, resultados ocultos)
Assume we do not actually get to observe X1,…,Xn. Instead let Y1,…,Yn be our observations where Yi=1(Xi≤0.5). Our goal is to estimate θ based on this new data.
What distribution does Yi follow?
First, choose the type of the distribution:
Bernoulli
Poisson
Normal
Exponential
sin responder
Second, enter the parameter of this distribution in terms of θ. Denote this parameter by mθ. (If the distribution is normal, enter only 1 parameter, the mean).
fθ(x)=θxθ−11(0≤x≤1)
where θ>0.
(a)
2 puntos posibles (calificables, resultados ocultos)
Assume we do not actually get to observe X1,…,Xn. Instead let Y1,…,Yn be our observations where Yi=1(Xi≤0.5). Our goal is to estimate θ based on this new data.
What distribution does Yi follow?
First, choose the type of the distribution:
Bernoulli
Poisson
Normal
Exponential
sin responder
Second, enter the parameter of this distribution in terms of θ. Denote this parameter by mθ. (If the distribution is normal, enter only 1 parameter, the mean).
Answers
kpro
follows the Bernoulli
the second is 1/(2^theta)
the second is 1/(2^theta)