Homework Answers
a)
| from method of moments: E(X)=(ϴ+1)/(ϴ+2) or ϴ =(1/(1-Xbar))-2 |
| from moment method estimate of ϴ =1/(1-0.802) -2 = | 3.051 | |||
b)
| from mle method estimate of ϴ =-10/(-2.425)-1= | 3.125 | |||
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Let X denote the proportion of allotted time that a randomly selected student spends working on...
Let X denote the proportion of allotted time that a randomly selected student spends working on...
Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is otherwise where-1くθ. A random sample of ten students yields data X1 = 0.49, x2-0.94, x3-0.92, X1 0.90, x8-0.65, x9 = 0.77, x10 = 0.97. 0.79, x5-0.86, x6-0.73, x7 = (a) Use the method of moments to obtain an estimator of θ 1 + X 1 + X (1-%)2 Compute the estimate for this data....
Let X denote the proportion of allotted time that a randomly selected student spends working on...
Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is otherwise where-1くθ. A random sample of ten students yields data X1 = 0.49, x2-0.94, x3 = 0.92, xa 0.90, x8-0.65, x9 = 0.77, x10 = 0.97. 0.79, x5-0.86, x6-0.73, x7 = (a) Use the method of moments to obtain an estimator of θ 1 + X 1 + X (1-%)2 Compute the estimate for...
Let X denote the proportion of allotted time that a randomly selected student spends working on...
Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is f(x; 6) = {(+1)x® 0SX51 0 otherwise where -1 < 8. A random sample of ten students yields data x, = 0.79, X2 = 0.47, X3 = 0.65, *4 = 0.86, X5 = 0.90, X6 = 0.73, X, = 0.97, X3 = 0.94, X, = 0.80, X10 = 0.92. (a) Use the method of...
Let X denote the proportion of allotted time that a randomly selected student spends working on...
Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is FX) = (+1)x"0SX S1 0 otherwise where -1 <0. A random sample of ten students yields data x,-0.96, X, -0.79, X, = 0.76, X = 0.73, Xs = 0.92, X = 0.46, Xy = 0.90, -0.65, X -0.94, X. 0.86. (a) Use the method of moments to obtain an estimator of *(1+2) Compute the...
Suppose that X,X'...., Xo is a simple random sample from the istribution with the following p.d.f...
Suppose that X,X'...., Xo is a simple random sample from the istribution with the following p.d.f f(x,0)- 0, otherwise here θ > 0, a random sample of size 10 yields data 0.92 0.79 0.9 0.65 0.86 0.47 0.73 0.97 0.94 0.77 ) (6 points) Get the moment estimator of e, and compute the estimate for this data;
dens, suppose that x,,x, Circle out your Cles Mend Wed or MonEveaing ,x10 is a simple...
dens, suppose that x,,x, Circle out your Cles Mend Wed or MonEveaing ,x10 is a simple random sample from the distribution with the following p.d.f. f(x0)- 0, otherwise where θ > 0, a random sample of size 10 yields data 0.92 0.79 0.9 0.65 0.86 0.47 0.73 0.97 0.94 0.77 1) (6 points) Get the moment estimator of 6, and compute the estimate for this data; 2) (9 points) Get the maximum likelihood estimator of 6, and compute the estimate...
Cirele out your Cast Mon& Wed or Mon. Evening. am (lan 15 that X,, X2, .,X...
Cirele out your Cast Mon& Wed or Mon. Evening. am (lan 15 that X,, X2, .,X Question 7. Suppose distribution with the following p.d.f. ,X is a simple random sample from th 0, otherwise where θ > 0, a random sample of size 10 yields data 0.92 0.79 0.9 0.65 0.86 0.47 0.73 0.97 0.94 0.77 1) (6 points) Get the moment estimator of θ, and compute the estimate for this data;
Exam.(Jan 15) Question 7. Suppose that Xi,X2,X distribution with the following p.d.f Cirele out your Class...
Exam.(Jan 15) Question 7. Suppose that Xi,X2,X distribution with the following p.d.f Cirele out your Class Mon&Wed or (Mon.Evening o is a simple random sample from the 12 s f(x,8)= 0, otherwise where θ > 0, a random sample of size 10 yields data 0.92 0.79 0.9 0.65 0.86 0.47 0.73 0.97 0.94 0.77 1) (6 points) Get the moment estimator of, and compute the estimate for this data;
Rinal Exam.Dan 15) Circle out your Class Mon& Wed or Mon Eveniag Question 7. SupposethatX,is a...
Rinal Exam.Dan 15) Circle out your Class Mon& Wed or Mon Eveniag Question 7. SupposethatX,is a simple random sample from the distribution with the following p.d.f. f(x,otherwise where θ > 0, a random sample of size 10 yields data 0.92 0.79 0.9 0.65 0.86 0.47 0.73 0.97 0.94 0.77 1) (6 points) Get the moment estimator of θ, and compute the estimate for this data;
Rinal Exam.Dan 15) Circle out your Class Mon& Wed or Mon Eveniag Question 7. SupposethatX,is a...
Rinal Exam.Dan 15) Circle out your Class Mon& Wed or Mon Eveniag Question 7. SupposethatX,is a simple random sample from the distribution with the following p.d.f. f(x,otherwise where θ > 0, a random sample of size 10 yields data 0.92 0.79 0.9 0.65 0.86 0.47 0.73 0.97 0.94 0.77 1) (6 points) Get the moment estimator of θ, and compute the estimate for this data;
Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is otherwise where-1くθ. A random sample of ten students yields data X1 = 0.49, x2-0.94, x3-0.92, X1 0.90, x8-0.65, x9 = 0.77, x10 = 0.97. 0.79, x5-0.86, x6-0.73, x7 = (a) Use the method of moments to obtain an estimator of θ 1 + X 1 + X (1-%)2 Compute the estimate for this data....
Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is otherwise where-1くθ. A random sample of ten students yields data X1 = 0.49, x2-0.94, x3 = 0.92, xa 0.90, x8-0.65, x9 = 0.77, x10 = 0.97. 0.79, x5-0.86, x6-0.73, x7 = (a) Use the method of moments to obtain an estimator of θ 1 + X 1 + X (1-%)2 Compute the estimate for...
Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is f(x; 6) = {(+1)x® 0SX51 0 otherwise where -1 < 8. A random sample of ten students yields data x, = 0.79, X2 = 0.47, X3 = 0.65, *4 = 0.86, X5 = 0.90, X6 = 0.73, X, = 0.97, X3 = 0.94, X, = 0.80, X10 = 0.92. (a) Use the method of...
Let X denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. Suppose the pdf of X is FX) = (+1)x"0SX S1 0 otherwise where -1 <0. A random sample of ten students yields data x,-0.96, X, -0.79, X, = 0.76, X = 0.73, Xs = 0.92, X = 0.46, Xy = 0.90, -0.65, X -0.94, X. 0.86. (a) Use the method of moments to obtain an estimator of *(1+2) Compute the...
Suppose that X,X'...., Xo is a simple random sample from the istribution with the following p.d.f f(x,0)- 0, otherwise here θ > 0, a random sample of size 10 yields data 0.92 0.79 0.9 0.65 0.86 0.47 0.73 0.97 0.94 0.77 ) (6 points) Get the moment estimator of e, and compute the estimate for this data;
dens, suppose that x,,x, Circle out your Cles Mend Wed or MonEveaing ,x10 is a simple random sample from the distribution with the following p.d.f. f(x0)- 0, otherwise where θ > 0, a random sample of size 10 yields data 0.92 0.79 0.9 0.65 0.86 0.47 0.73 0.97 0.94 0.77 1) (6 points) Get the moment estimator of 6, and compute the estimate for this data; 2) (9 points) Get the maximum likelihood estimator of 6, and compute the estimate...
Cirele out your Cast Mon& Wed or Mon. Evening. am (lan 15 that X,, X2, .,X Question 7. Suppose distribution with the following p.d.f. ,X is a simple random sample from th 0, otherwise where θ > 0, a random sample of size 10 yields data 0.92 0.79 0.9 0.65 0.86 0.47 0.73 0.97 0.94 0.77 1) (6 points) Get the moment estimator of θ, and compute the estimate for this data;
Exam.(Jan 15) Question 7. Suppose that Xi,X2,X distribution with the following p.d.f Cirele out your Class Mon&Wed or (Mon.Evening o is a simple random sample from the 12 s f(x,8)= 0, otherwise where θ > 0, a random sample of size 10 yields data 0.92 0.79 0.9 0.65 0.86 0.47 0.73 0.97 0.94 0.77 1) (6 points) Get the moment estimator of, and compute the estimate for this data;
Rinal Exam.Dan 15) Circle out your Class Mon& Wed or Mon Eveniag Question 7. SupposethatX,is a simple random sample from the distribution with the following p.d.f. f(x,otherwise where θ > 0, a random sample of size 10 yields data 0.92 0.79 0.9 0.65 0.86 0.47 0.73 0.97 0.94 0.77 1) (6 points) Get the moment estimator of θ, and compute the estimate for this data;
Rinal Exam.Dan 15) Circle out your Class Mon& Wed or Mon Eveniag Question 7. SupposethatX,is a simple random sample from the distribution with the following p.d.f. f(x,otherwise where θ > 0, a random sample of size 10 yields data 0.92 0.79 0.9 0.65 0.86 0.47 0.73 0.97 0.94 0.77 1) (6 points) Get the moment estimator of θ, and compute the estimate for this data;
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