Question

A binomial experiment consisting of n trials resulted in observations y1, y2,..., yn, where yi =...

A binomial experiment consisting of n trials resulted in observations y1, y2,..., yn, where yi = 1 if the ith trial was a success and yi = 0 otherwise. Find the MLE (MaximumLikelihood Estimator) of p, the probability of a success.

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

Homework Answers

Answer #1


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
Consider a binomial experiment with n = 9 trials where the probability of success on a...
Consider a binomial experiment with n = 9 trials where the probability of success on a single trial is p = 0.10. (Round your answers to three decimal places.) (a) Find P(r = 0). (b) Find P(r ≥ 1) by using the complement rule.
Consider a binomial experiment with n = 6 trials where the probability of success on a...
Consider a binomial experiment with n = 6 trials where the probability of success on a single trial is p = 0.45. (For each answer, enter a number. Round your answers to three decimal places.) (a) Find P(r = 0). (b) Find P(r ≥ 1) by using the complement rule
Let Y1,Y2.....,Yn be independent ,uniformly distributed random variables on the interval[0,θ].，Y(n)=max(Y1,Y2,....,Yn)，which is considered as an estimator...
Let Y1,Y2.....,Yn be independent ,uniformly distributed random variables on the interval[0,θ].，Y(n)=max(Y1,Y2,....,Yn)，which is considered as an estimator of θ. Explain why Y is a good estimator for θ when sample size is large.
Suppose you observe Y1,...,Yn, where each Yi is 0 (no) or 1 (yes). Assume that Y1,...,Yn...
Suppose you observe Y1,...,Yn, where each Yi is 0 (no) or 1 (yes). Assume that Y1,...,Yn are independent and identically distributed. Define p = E[Yi], which is unknown. What is the standard deviation of the sample average? Use p in this answer. Note that the maximum value for p is 1 and the minimum is 0. What is the largest standard deviation of the sample average? (Maximize the previous answer over p.) What is the sample size n which makes...
[8] Let Y1<Y2<...<Yn be the order statistics of n independent observations from U(0, 1). (i) Find...
[8] Let Y1<Y2<...<Yn be the order statistics of n independent observations from U(0, 1). (i) Find the p.d.f. of the r-th order statistics Yr. (ii) Find the mean and variance of Yr.
Let Y1, Y2, . . . , Yn be independent and identically distributed Beta(θ, 1), θ...
Let Y1, Y2, . . . , Yn be independent and identically distributed Beta(θ, 1), θ > 0. (a) Find the MOM estimator for θ. (b) Find the ML estimator θˆ of θ. (c) Find the ML estimator τˆ of τ = P(Y1 ≤ a), for a ∈ (0,1). (d) Find a function of the ML estimator that is a pivotal quantity and use it to construct a two-sided 1−α CI for θ.
for a binomial experiment with r successes out of n trials, what value do we use...
for a binomial experiment with r successes out of n trials, what value do we use as a point estimate for the probability of success p on a single trial? p=
Assume that Y is distributed according to a binomial distribution with n trials and probability p...
Assume that Y is distributed according to a binomial distribution with n trials and probability p of success. Let g(p) be the probability of obtaining either no successes or all successes, out of n trials. Find the MLE of g(p).
Let Y1, Y2, . . ., Yn be a random sample from a Laplace distribution with...
Let Y1, Y2, . . ., Yn be a random sample from a Laplace distribution with density function f(y|θ) = (1/2θ)e-|y|/θ for -∞ < y < ∞ where θ > 0. The first two moments of the distribution are E(Y) = 0 and E(Y2) = 2θ2. a) Find the likelihood function of the sample. b) What is a sufficient statistic for θ? c) Find the maximum likelihood estimator of θ. d) Find the maximum likelihood estimator of the standard deviation...
Let y1,y2,...,yn denote a random sample from a Weibull distribution with parameters m=3 and unknown alpha:...
Let y1,y2,...,yn denote a random sample from a Weibull distribution with parameters m=3 and unknown alpha: f(y)=(3/alpha)*y^2*e^(-y^3/alpha) y>0 0 otherwise Find the MLE of alpha. Check when its a maximum
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT