Question

Prove that when Xn-an converges in probability to 0 and an converges to a, Xn converges...

Prove that when Xn-an converges in probability to 0 and an converges to a, Xn converges in probability to a.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Note-if there is any understanding problem regarding this please feel free to ask via comment box...thank you

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose {xn} is a sequence of real numbers that converges to +infinity, and suppose that {bn}...
Suppose {xn} is a sequence of real numbers that converges to +infinity, and suppose that {bn} is a sequence of real numbers that converges. Prove that {xn+bn} converges to +infinity.
Prove that if (xn) is a sequence of real numbers, then lim sup|xn| = 0 as...
Prove that if (xn) is a sequence of real numbers, then lim sup|xn| = 0 as n approaches infinity. if and only if the limit of (xN) exists and xn approaches 0.
If (xn) ∞ to n=1 is a convergent sequence with limn→∞ xn = 0 prove that...
If (xn) ∞ to n=1 is a convergent sequence with limn→∞ xn = 0 prove that lim n→∞ (x1 + x2 + · · · + xn)/ n = 0 .
suppose that the sequence (sn) converges to s. prove that if s > 0 and sn...
suppose that the sequence (sn) converges to s. prove that if s > 0 and sn >= 0 for all n, then the sequence (sqrt(sn)) converges to sqrt(s)
Let Zt ∼ WN(0,σ^2) and Xn = 2 cos(ω)Xn−1 − Xn−2 + Zt Prove that there...
Let Zt ∼ WN(0,σ^2) and Xn = 2 cos(ω)Xn−1 − Xn−2 + Zt Prove that there is no stationary solution. For θ = π/4, let X0 = X1 = 0. Calculate the autocovariance between X4 and X5.
Prove that, for x ∈ C, when |x| < 1, lim_n→∞ |x_n| = 0. Note: To...
Prove that, for x ∈ C, when |x| < 1, lim_n→∞ |x_n| = 0. Note: To prove this, show that an = xn is monotone decreasing and bounded from below. Apply the Monotone sequence theorem. Then, use the algebra of limits, say limn→∞ |xn| = A, to prove that A = 0.
Given that xn is a sequence of real numbers. If (xn) is a convergent sequence prove...
Given that xn is a sequence of real numbers. If (xn) is a convergent sequence prove that (xn) is bounded. That is, show that there exists C > 0 such that |xn| less than or equal to C for all n in N.
Prove that if a sequence converges to a limit x then very subsequence converges to x.
Prove that if a sequence converges to a limit x then very subsequence converges to x.
Prove that is {xn} is absolutely summable, then {xn} is summable.
Prove that is {xn} is absolutely summable, then {xn} is summable.
Let f: (0,1) -> R be uniformly continuous and let Xn be in (0,1) be such...
Let f: (0,1) -> R be uniformly continuous and let Xn be in (0,1) be such that Xn-> 1 as n -> infinity. Prove that the sequence f(Xn) converges
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT