Example of the estimator of the mean of X which satisfy the following criteria:

1. unbiased+consistent

2. bias +consistent

3. unbiased + inconsistent

4. biased + inconsistent

5. most efficient estimator of testing mean of X

6. least efficient estimator of testing mean of X

Solutions

Expert Solution

1. unbiased+consistent is sample mean T(X) = (X₁ + ... + X_n)/n.

2. bias +consistent is

3.unbiased + inconsistent is T(X)=Xn

4. biased + inconsistent is T(X)=(X₁ + ... + X_n) OR

5. most efficient estimator of testing mean of X is sample mean T(X) = (X₁ + ... + X_n)/n.

6. least efficient estimator of testing mean of X is Sample median

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Let g(x) = 1/(x + 1) (a) Does g satisfy the conditions of the Mean Value...

Let g(x) = 1/(x + 1) (a) Does g satisfy the conditions of the Mean Value Theorem over the interval [1, 3]? Explain. (b) Find a number c that satisfies the conclusion of the Mean Value Theorem for g over [1, 3], or explain why no such number exists. (c) Does g satisfy the conditions of the Mean Value Theorem over the interval [−3, 0]? Explain. (d) Find a number c that satisfies the conclusion of the Mean Value Theorem...

A daughter or son may not satisfy the criteria to be considered a qualifying child but...

A daughter or son may not satisfy the criteria to be considered a qualifying child but may still qualify as a dependent. True or false?

What does it mean for an estimator to be consistent?

Which of the following is a biased estimator? That is, which of the following does not target the population parameter?

Which of the following is a biased estimator? That is, which of the following does not target the population parameter? Choose the correct answer below. Mean, Proportion, Median, Variance

. Which of the following utility functions satisfy (i) strict convexity; (ii) monotonicity: (a) U(x, y)...

. Which of the following utility functions satisfy (i) strict convexity; (ii) monotonicity: (a) U(x, y) = min[x, y]; (b) U(x, y) = x^a*y^(1−a); (c) U(x, y) = x + y; (d) Lexicographic preference. (e) U(x, y) = y

Show that the sample mean is an efficient estimator of the population mean for a population...

Show that the sample mean is an efficient estimator of the population mean for a population that is: normal distribution (mu, 1), Bernoulli(p), Exponential(theta), and Geometric(p).

Show the sample mean is an efficient estimator of the population mean for a population that...

Show the sample mean is an efficient estimator of the population mean for a population that is: Bernoulli(p), N(μ,1), Geometric(p), and Exp(λ)

What are the criteria a firm have to satisfy before its shares can be listed and...

What are the criteria a firm have to satisfy before its shares can be listed and traded on ASX?

n the linear model, which of the following CANNOT be an estimator for B2 ?

1. The point estimator for the population standard deviation σ is _ and the point estimator for the population mean μ is __.

1. The point estimator for the population standard deviation σ is ___ and the point estimator for the population mean μ is ____. 2. To estimate the value of a population parameter using a sample, we would calculate... a) a simple random sample, b) a sample statistic, c) a test statistic, d) or both a and b 3. A simple random sample from a finite data set must meet which condition(s)/requirements? a) you may only sample without replacement; sampling with...

Subjects