please help me with this question as much as you can, thanks!
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![o [(yi -vri) (-) =0 g (48 =) (49 -7) – (Yi- ßo-fix;) ( Botfimi-8) = 2(C71-7)+ Ŝy = By Mi) (T-B, ū+ fixi-5) = [ (1-7)= B,(5)]](http://img.homeworklib.com/questions/d662f1f0-6e54-11ea-b84d-e700f6125006.png?x-oss-process=image/resize,w_560)
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please help me with this question as much as you can,
thanks!
2. For n data...
4. We have n statistical units. For unit i, we have (xi; yi), for i-1,2,... ,n. We used the least squares line to obtain the estimated regression line у = bo +biz. (a) Show that the centroid (x, y) i...
4. We have n statistical units. For unit i, we have (xi; yi), for i-1,2,... ,n. We used the least squares line to obtain the estimated regression line у = bo +biz. (a) Show that the centroid (x, y) is a point on the least squares line, where x = (1/n) and у = (1/n) Σ¡ı yi. (Hint: E ) i-1 valuate the line at x = x. (b) In the suggested exercises, we showed that e,-0 and e-0, where...
Need help, will rate, thanks. 3. Given n 1 data pairs (xo, yo), (xi,yi),..., (^n, Jn),...
Need help, will rate, thanks.
3. Given n 1 data pairs (xo, yo), (xi,yi),..., (^n, Jn), define for j 0, 1,...,n the functions pj - Ilifj (zj-zi), and let also ψ(x)-111-o(x-xi) (a) Show that pj-(xj) (b) Show that the interpolating polynomial of degree at most n is given by yj
I need help on this, please help me Suppose that X = (Xi, X2, , Xn)...
I need help on this, please help me
Suppose that X = (Xi, X2, , Xn) and Y = (Yİ, ½, . . . ,Yn) are randon samples from continuous distributions F and G, respectively. Wilcoxon's two-sample test statistic W W(X,Y) is defined to be Σǐ1+nn 1 R d n+m where Ri is the rank of Yn the combine sample. 2. Show that W can be written as where U is the number of pairs (X,, Y) with X, <...
Suppose that independent samples of sizes n1, n2, . . . , nk are taken from each of k normally di...
Suppose that independent samples of sizes n1, n2, . . . , nk are taken from each of k normally distributed populations with means μ1,μ2, . . . , μk and common variances, all equal to σ 2. Let Yi j denote the j th observation from population i, for j = 1, 2, . . . , ni and i = 1, 2, . . . , k, and let n = n1 + n2 + ··· + nk...
I don't understand a iii and b ii, What's the procedure of deriving the limit distribution? Thanks. 6. Extreme...
I don't understand a iii and b ii, What's the procedure of
deriving the limit distribution? Thanks.
6. Extreme values are of central importance in risk management and the following two questions provide the fundamental tool used in the extreme value theory. (a) Let Xi,... , Xn be independent identically distributed (i. i. d.) exp (1) random variables and define max(Xi,..., Xn) (i) Find the cumulative distribution of Zn (ii) Calculate the cumulative distribution of Vn -Zn - Inn (iii)...
3. Let Xi, . . . , Xn be iid randoln variables with mean μ and...
3. Let Xi, . . . , Xn be iid randoln variables with mean μ and variance σ2. Let, X denote the sample mean and V-Σ, (X,-X)2. (a) Derive the expected values of X and V. (b) Further suppose that Xi,-.,X, are normally distributed. Let Anxn ((a)) an orthogonal matrix whose first rOw 1S be , ..*) and iet Y = AX, where Y (Yİ, ,%), ard X-(XI, , X.), are (column) vectors. (It is not necessary to know aij...
I really need the answers to these two small questions. I post several times but no one answer. If you can answer, I will even pay you. Please state your paypal number if you answer it. Thank you! 4....
I really need the answers to these two small questions. I post
several times but no one answer. If you can answer, I will even pay
you. Please state your paypal number if you answer it. Thank
you!
4. Suppose that (Xi,K), , (XN,Yv) denotes a random sample. Let Si-a+ bXi, T, e+dy, where a, b, c and d are constants. Let X-., Σ Xi, and σ Σ (Xi-X)2, with the analogous expressions for y, ST. Let ởXY-NT Σ(Xi-X)(y-y), and...
1. Consider the simple linear regression model: Ү, — Во + B а; + Ei, where 1, . . , En are i.i.d. N(0,02), for i1,2,......
1. Consider the simple linear regression model: Ү, — Во + B а; + Ei, where 1, . . , En are i.i.d. N(0,02), for i1,2,... ,n. Let b1 = s^y/8r and bo = Y - b1 t be the least squared estimators of B1 and Bo, respectively. We showed in class, that N(B; 02/) Y~N(BoB1 T;o2/n) and bi ~ are uncorrelated, i.e. o{Y;b} We also showed in class that bi and Y 0. = (a) Show that bo is...
4. We have n statistical units. For unit i, we have (x; yi), for i 1,2,...,n. We used the least squares line to obtain the estimated regression line bobi . (a) Show that the centroid (z, y) is a poin...
4. We have n statistical units. For unit i, we have (x; yi), for i 1,2,...,n. We used the least squares line to obtain the estimated regression line bobi . (a) Show that the centroid (z, y) is a point on the least squares line, where x-(1/n) Σ-Χί and у-(1/ n) Σ|-1 yi. (Hint: Evaluate the line at x x.) (b) In the suggested exercises, we showed that e,-0 and where e is the ith residual, that is e -y...
Could you help me to solve this question below? Thank you so much! Problem 1 Suppose...
Could you help me to solve this question below? Thank you so
much!
Problem 1 Suppose i iid N(?, 3) and let ???(n + 1)-? ? n=1 Xi be an estimator of ? I. Derive the distribution of ?? 2. Derive the MSE of 4. Find a MVUE of ?, denote it ??, and compare its MSE to that of ??. 5. Does the relative efficiency Effnn) approach 1 as n?
4. We have n statistical units. For unit i, we have (xi; yi), for i-1,2,... ,n. We used the least squares line to obtain the estimated regression line у = bo +biz. (a) Show that the centroid (x, y) is a point on the least squares line, where x = (1/n) and у = (1/n) Σ¡ı yi. (Hint: E ) i-1 valuate the line at x = x. (b) In the suggested exercises, we showed that e,-0 and e-0, where...
Need help, will rate, thanks.
3. Given n 1 data pairs (xo, yo), (xi,yi),..., (^n, Jn), define for j 0, 1,...,n the functions pj - Ilifj (zj-zi), and let also ψ(x)-111-o(x-xi) (a) Show that pj-(xj) (b) Show that the interpolating polynomial of degree at most n is given by yj
I need help on this, please help me
Suppose that X = (Xi, X2, , Xn) and Y = (Yİ, ½, . . . ,Yn) are randon samples from continuous distributions F and G, respectively. Wilcoxon's two-sample test statistic W W(X,Y) is defined to be Σǐ1+nn 1 R d n+m where Ri is the rank of Yn the combine sample. 2. Show that W can be written as where U is the number of pairs (X,, Y) with X, <...
I don't understand a iii and b ii, What's the procedure of
deriving the limit distribution? Thanks.
6. Extreme values are of central importance in risk management and the following two questions provide the fundamental tool used in the extreme value theory. (a) Let Xi,... , Xn be independent identically distributed (i. i. d.) exp (1) random variables and define max(Xi,..., Xn) (i) Find the cumulative distribution of Zn (ii) Calculate the cumulative distribution of Vn -Zn - Inn (iii)...
3. Let Xi, . . . , Xn be iid randoln variables with mean μ and variance σ2. Let, X denote the sample mean and V-Σ, (X,-X)2. (a) Derive the expected values of X and V. (b) Further suppose that Xi,-.,X, are normally distributed. Let Anxn ((a)) an orthogonal matrix whose first rOw 1S be , ..*) and iet Y = AX, where Y (Yİ, ,%), ard X-(XI, , X.), are (column) vectors. (It is not necessary to know aij...
I really need the answers to these two small questions. I post
several times but no one answer. If you can answer, I will even pay
you. Please state your paypal number if you answer it. Thank
you!
4. Suppose that (Xi,K), , (XN,Yv) denotes a random sample. Let Si-a+ bXi, T, e+dy, where a, b, c and d are constants. Let X-., Σ Xi, and σ Σ (Xi-X)2, with the analogous expressions for y, ST. Let ởXY-NT Σ(Xi-X)(y-y), and...
1. Consider the simple linear regression model: Ү, — Во + B а; + Ei, where 1, . . , En are i.i.d. N(0,02), for i1,2,... ,n. Let b1 = s^y/8r and bo = Y - b1 t be the least squared estimators of B1 and Bo, respectively. We showed in class, that N(B; 02/) Y~N(BoB1 T;o2/n) and bi ~ are uncorrelated, i.e. o{Y;b} We also showed in class that bi and Y 0. = (a) Show that bo is...
4. We have n statistical units. For unit i, we have (x; yi), for i 1,2,...,n. We used the least squares line to obtain the estimated regression line bobi . (a) Show that the centroid (z, y) is a point on the least squares line, where x-(1/n) Σ-Χί and у-(1/ n) Σ|-1 yi. (Hint: Evaluate the line at x x.) (b) In the suggested exercises, we showed that e,-0 and where e is the ith residual, that is e -y...
Could you help me to solve this question below? Thank you so
much!
Problem 1 Suppose i iid N(?, 3) and let ???(n + 1)-? ? n=1 Xi be an estimator of ? I. Derive the distribution of ?? 2. Derive the MSE of 4. Find a MVUE of ?, denote it ??, and compare its MSE to that of ??. 5. Does the relative efficiency Effnn) approach 1 as n?
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