Now if I estimate y using both Xi and X, which estimator is better in terms...
Using a long rod that has length , you are going to lay out a square plot in which the length of each 2. side is . Thus the area of the plot will be However, you do not know the value of , so you decide to make n independent measurements X1;X2; :::;Xn of the length. Assume that each Xi has mean 2. (unbiased measurements) and variance o^2. Question C only, Now if I estimate u using both X1...
3. Using a long rod that has length y, you are going to lay out a square plot in which the length of each side is p. Thus the area of the plot will be ?. However, you do not know the value of p, so you decide to make n independent measurements X1, X2, ..., Xn of the length. Assume that each X, has mean y (unbiased measurements) and variance o?. a) Is X2 unbiased for ? why or...
3. Using a long rod that has length y, you are going to lay out a square plot in which the length of each side is p. Thus the area of the plot will be j?. However, you do not know the value of u, so you decide to make n independent measurements X1, X2, ..., Xn of the length. Assume that each X; has mean u (unbiased measurements) and variance o?. a) Is Xunbiased for u? ? why or...
3. Using a long rod that has length p, you are going to lay out a square plot in which the length of each side is u. Thus the area of the plot will be u?. However, you do not know the value of p, so you decide to make n independent measurements X1, X2, ..., Xn of the length. Assume that each X; has mean u (unbiased measurements) and variance o2. a) Is X2 unbiased for u? ? why...
3. Using a long rod that has length y, you are going to lay out a square plot in which the length of each side is u. Thus the area of the plot will be ? However, you do not know the value of p, so you decide to make n independent measurements X1, X2, ..., X., of the length. Assume that each X; has mean 4 (unbiased measurements) and variance o? a) Is X2 unbiased for u?? why or...
can anyone help me with #3, especially c) thank you 3. Using a long rod that has length, you are going to lay out a square plot in which the length of each side is . Thus the area of the plot will be. However, you do not know the value of , so you decide to make n independent measurements X1, X2, ..., X, of the length. Assume that each Xhas mean (unbiased measurements) and variance o?. a) Is...
Using a long rod that has length μ you are going to lay out a square plot in which the length of each side is Thus the area of the plot will be However, you do not know the value of μ, so you decide to make n independent measurements X1,X2, ,X, of the length. Assume that each Xi has mean μ and variance σ Show that X 2 is not an unbiased estimator for μ2 What is the bias?...
Using a bar of length μ, you are going to lay out a square plot in which the length of each side will be length μ. Thus the area of the plot will be μ2. However, you do not know the value of μ and so you decide to make 15 independent measurements of the bar, {Xi : i = 1, … , n}. Assume that each Xi has mean μ (unbiased measurement) and variance σ2 = 0.4.(a)Find the bias of the random variable X_2 as an estimator for μ2.(b)For what value of k is the estimator X_2 − kS2 unbiased...
Using a long rod that has length , you are going to lay out a square plot in which the length of each 2. side is . Thus the area of the plot will be However, you do not know the value of , so you decide to make n independent measurements X1;X2; :::;Xn of the length. Assume that each Xi has mean 2. (unbiased measurements) and variance 1. A large insurance agency services a number of customers who have...
σ2). 6. Suppose X1, Yİ, X2, Y2, , Xn, Y, are independent rv's with Xi and Y both N(μ, All parameters μί, 1-1, ,n, and σ2 are unknown. For example, Xi and Yi muay be repeated measurements on a laboratory specimen from the ith individual, with μί representing the amount of some antigen in the specimen; the measuring instrument is inaccurate, with normally distributed errors with constant variability. Let Z, X/V2. (a) Consider the estimate σ2- (b) Show that the...