Let θ be an unknown constant. Let W1,…,Wn be independent exponential random variables each with parameter 1. Let Xi=θ+Wi.
What is the maximum likelihood estimate of θ based on a single observation X1=x1? Enter your answer in terms of x1 (enter as 'x_1') using standard notation.
θ^ML(x1)= x_1 - correct
What is the maximum likelihood estimate of θ based on a sequence of observations (X1,…,Xn)=(x1,…,xn)?
θ^ML(x1,…,xn)=
You have been asked to construct a confidence interval of the particular form [Θ^−c,Θ^], where Θ^=mini{Xi} and c is a constant that we need to choose. For n=10, how should the constant c be chosen so that we have a 95% confidence interval? (Give the smallest possible value of c.) Your answer should be accurate to 3 decimal places.
c=
please solve this problem guys
anyone there who can present the solution
Please, help
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c = 0.098
c = 0.098 wrong.
anyone got maximum likelihood estimate of è based on a sequence of observations?
maximum likelihood estimator is mini{Xi}
Anyone got right answer for c = ?
Might help for c:
P(minXi<a) means
1-P(minXi>a) which means
1-P(allXi>a).