Question

f(x\o)= ox ^-o-1 I{x> 1}, o>1. (a)Show that logX_i has an exponential distribution with a mean...

f(x\o)= ox ^-o-1 I{x> 1}, o>1.
(a)Show that logX_i has an exponential distribution with a mean of 1/o
(b) Find the form foa a UMP test of H_0: o\leq o_{0 vs. H_{A}: o> o_{o}

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that the time to death X has an exponential distribution with hazard rate and that...
Suppose that the time to death X has an exponential distribution with hazard rate and that the right-censoring time C is exponential with hazard rate . LetT min(X,C) and 1 ifX C;0 ,if X C. Assume that X and C are independent. (a) Find P( 1) (b) Find the distribution of T. (c) Show that and T are independent. (d) Let (T1, 1),...,(Tn, n) be a random sample from this model. Show that the maximum likelihood estimator of is n...
Given that X has an exponential distribution with mean 1, what is (a) the probability that...
Given that X has an exponential distribution with mean 1, what is (a) the probability that X > 1? (b) the probability that X < 1 assuming X < 2? (c) the median of this distribution?
? is a Pareto rv with probability distribution function given by f(x) = bx −(b+1) ,...
? is a Pareto rv with probability distribution function given by f(x) = bx −(b+1) , x≥ 1 where b is a positive number between 0 and 1 Show that ? = ln(?) has exponential distribution, ? ∼ exp(?), and find the maximum likelihood estimator of b. Explain why the moment of method fails to work in this case.
3.9 Suppose r.v. X has the exponential pdf f(x) = A exp[-. x], for x >...
3.9 Suppose r.v. X has the exponential pdf f(x) = A exp[-. x], for x > 0. and f(x) = 0. for x ? 0. Find Pr(x > a + b l x > a) given a, b > 0.
Let X1. ..., Xn, be a random sample from Exponential(β) with pdf f(x) = 1/β(e^(-x/β)) I(0,...
Let X1. ..., Xn, be a random sample from Exponential(β) with pdf f(x) = 1/β(e^(-x/β)) I(0, ∞)(x), B > 0 where β is an unknown parameter. Find the UMVUE of β^2.
Let X1, X2, · · · , Xn be a random sample from an exponential distribution...
Let X1, X2, · · · , Xn be a random sample from an exponential distribution f(x) = (1/θ)e^(−x/θ) for x ≥ 0. Show that likelihood ratio test of H0 : θ = θ0 against H1 : θ ≠ θ0 is based on the statistic n∑i=1 Xi.
Suppose that a random variable X has the distribution (pdf) f(x) =kx(1 -x^2) for 0 <...
Suppose that a random variable X has the distribution (pdf) f(x) =kx(1 -x^2) for 0 < x < 1 and zero elsewhere. a. Find k. b. Find P(X >0. 8) c. Find the mean of X. d. Find the standard deviation of X. 2. Assume that test scores for all students on a statistics test are normally distributed with mean 82 and standard deviation 7. a. Find the probability that a single student scores greater than 80. b. Find the...
Find f o g and g o f f(x)= 8/(x^2-1) , g(x) = x^3 +1 also...
Find f o g and g o f f(x)= 8/(x^2-1) , g(x) = x^3 +1 also find domain of f, g, f o g , and g o f
Let X have an exponential distribution with mean of 1. Consider the transformation Y = exp(-X),...
Let X have an exponential distribution with mean of 1. Consider the transformation Y = exp(-X), and determine the density function of Y. a. y b. 1 c 1/y
Actuarial Science A loss has an exponential distribution with mean 2. A deductible of 1 is...
Actuarial Science A loss has an exponential distribution with mean 2. A deductible of 1 is imposed. Find the PF of payment.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT