If Z is a continuous random variable, show that s2 converges to sigma2 as n goes to infinity. The value of s2 is (1/(n-1)) * the sum of (zi to z bar)2 from i = 1 to n.

Question

Question

If Z is a continuous random variable, show that s2 converges to sigma2 as n goes to infinity. The value of s2 is (1/(n-1)) * the sum of (zi to z bar)2 from i = 1 to n.

If Z is a continuous random variable, show that s² converges to sigma² as n goes to infinity. The value of s² is (1/(n-1)) * the sum of (zi to z bar)² from i = 1 to n.

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

we need to shao. 꿀s2_P 2. IMd. 2. 2. convega inL 2.

Add a comment

Answer 2

Similar Homework Help Questions

For a continuous random variable, Y, prove that the sample variance converges to the population variance as n goes to infinity. Do not use the chi squared distribution in the answer. Chebyshev's i...

For a continuous random variable, Y, prove that the sample variance converges to the population variance as n goes to infinity. Do not use the chi squared distribution in the answer. Chebyshev's inequality and the central limit theorem CAN be used
Given a continuous random variable, prove that s--a:G-x) 2 converges to σ2 as Σ-1(xi-x) 2 converges to σ2 as n-1 Given a continuous random variable, prove that s--a:G-x) 2 converges to σ2 as Σ-1...

Given a continuous random variable, prove that s--a:G-x) 2 converges to σ2 as Σ-1(xi-x) 2 converges to σ2 as n-1 Given a continuous random variable, prove that s--a:G-x) 2 converges to σ2 as Σ-1(xi-x) 2 converges to σ2 as n-1
3. Let Z be a continuous random variable with Z~ N(0, 1) (a) Find the value...

3. Let Z be a continuous random variable with Z~ N(0, 1) (a) Find the value of P(Z -0.47) (b) Find the value of P(|Z|< 2.00). Note | denotes the absolute value function. (c) Find b such that P(Z > b) = 0.9382 (d) Find the 27th percentile. (e) Find the value of the critical value zo.05

3. Let Z be a continuous random variable with Z~ N(0, 1) (a) Find the value...

3. Let Z be a continuous random variable with Z~ N(0, 1) (a) Find the value of P(Z < -0.47) (b) Find the value of P(|Z| < 2.00). Note denotes the absolute value function (c) Find b such that P(Z > b) = 0.9382 (d) Find the 27th percentile. (e) Find the value of the critical value z0.05
Random variable (20) Z X+Y is a random variable equal to the sum of two continuous...

Random variable (20) Z X+Y is a random variable equal to the sum of two continuous random variables X and Y. X has a uniform density from (-1, 1), and Y has a uniform density from (0, 2). X and Y may or may not be independent. Answer these two separate questions a). Given that the correlation coefficient between X and Y is 0, find the probability density function f7(z) and the variance o7. b). Given that the correlation coefficient...
3. Let Z be a continuous random variable with Z-N(0,1). (a) Find the value of P(Z...

3. Let Z be a continuous random variable with Z-N(0,1). (a) Find the value of P(Z <-0.47). (b) Find the value of P(Z < 2.00). Note denotes the absolute value function. (c) Find b such that P(Z > b) = 0.9382. (d) Find the 27th percentile. (e) Find the value of the critical value 20.05-

SHOW THAT Z1,...,Zn be a random sample from N(0, 1), then z bar~N(0, 1/n)

SHOW THAT Z1,...,Zn be a random sample from N(0, 1), then z bar~N(0, 1/n)
8. Let X be a continuous random variable with mgf given by It< 1 M(t)E(eX) 1...

8. Let X be a continuous random variable with mgf given by It< 1 M(t)E(eX) 1 - t2 (a) Determine the expected value of X and the variance of X [3] (b) Let X1, X2, ... be a sequence of iid random variables with the same distribution as X. Let Y X and consider what happens to Y, as n tends to oo. (i) Is it true that Y, converges in probability to 0? (Explain.) [2] (ii) Explain why Vn...
1) Show that Σ COSNTT N converges/diverges. N-1 2) Find the sum Σ e-N N-1 00...

1) Show that Σ COSNTT N converges/diverges. N-1 2) Find the sum Σ e-N N-1 00 n 3) Show that Σ converges/diverges n=1 + 1

5. (Expected value) Let X be a continuous random variable with probability density function S2/a2 if 1 2, f(x) elsehwer...

5. (Expected value) Let X be a continuous random variable with probability density function S2/a2 if 1 2, f(x) elsehwere. 0 Find the expected value E (In X). Hint: Integration by parts

If Z is a continuous random variable, show that s2 converges to sigma2 as n goes to infinity. The value of s2 is (1/(n-1)) * the sum of (zi to z bar)2 from i = 1 to n.

Homework Answers

Add Answer to:
If Z is a continuous random variable, show that s2 converges to sigma2 as n goes to infinity. The value of s2 is (1/(n-1)) * the sum of (zi to z bar)2 from i = 1 to n.

Post as a guest

Earn Coins

For a continuous random variable, Y, prove that the sample variance converges to the population variance as n goes to infinity. Do not use the chi squared distribution in the answer. Chebyshev's i...

Given a continuous random variable, prove that s--a:G-x) 2 converges to σ2 as Σ-1(xi-x) 2 converges to σ2 as n-1 Given a continuous random variable, prove that s--a:G-x) 2 converges to σ2 as Σ-1...

3. Let Z be a continuous random variable with Z~ N(0, 1) (a) Find the value...

3. Let Z be a continuous random variable with Z~ N(0, 1) (a) Find the value...

Random variable (20) Z X+Y is a random variable equal to the sum of two continuous...

3. Let Z be a continuous random variable with Z-N(0,1). (a) Find the value of P(Z...

SHOW THAT Z1,...,Zn be a random sample from N(0, 1), then z bar~N(0, 1/n)

8. Let X be a continuous random variable with mgf given by It< 1 M(t)E(eX) 1...

1) Show that Σ COSNTT N converges/diverges. N-1 2) Find the sum Σ e-N N-1 00...

5. (Expected value) Let X be a continuous random variable with probability density function S2/a2 if 1 2, f(x) elsehwer...

If Z is a continuous random variable, show that s2 converges to sigma2 as n goes to infinity. The value of s2 is (1/(n-1)) * the sum of (zi to z bar)2 from i = 1 to n.

Homework Answers

Add Answer to: If Z is a continuous random variable, show that s2 converges to sigma2 as n goes to infinity. The value of s2 is (1/(n-1)) * the sum of (zi to z bar)2 from i = 1 to n.

Post as a guest

Earn Coins

Add Answer to:
If Z is a continuous random variable, show that s2 converges to sigma2 as n goes to infinity. The value of s2 is (1/(n-1)) * the sum of (zi to z bar)2 from i = 1 to n.