Consider the Binomial distribution f(x;p) = (■(n@x)) p^x q^(n-x) for x= 0,1,2,3,…..,n. Find the maximum likelihood estimator of p when a single observation is taken?

Question

Question

Consider the Binomial distribution

for x= 0,1,2,3,…..,n.

Find the maximum likelihood estimator of p when a single observation is taken?

Answer 1

Similar Homework Help Questions

1. Let X b(n , 0 ), find the maximum likelihood estimate of the parameter 0...

1. Let X b(n , 0 ), find the maximum likelihood estimate of the parameter 0 of the " corresponding binomial distribution. And prove the sample proportion is unbiased estimator of 0. 2. If are the values of a random sample from an exponential population, find the maximum likelihood estimator of its parameter 0. 1. Let X b(n , 0 ), find the maximum likelihood estimate of the parameter 0 of the " corresponding binomial distribution. And prove the sample...
Find the method of moments and maximum likelihood estimator for the relevant parameters, based on a...

Find the method of moments and maximum likelihood estimator for the relevant parameters, based on a random sampe X.. , frtrbutioas a) X, has a negative binomial distribution NB(r.p) when r 3; b) i has a gamma distribution Gamma(?, ?) when ?-2.
7. Find the maximum likelihood estimate of parameter p of the binomial distribution.

7. Find the maximum likelihood estimate of parameter p of the binomial distribution.

are independent variables from Negative Binomial distribution with parameters (known) and . Find the maximum likelihood...

are independent variables from Negative Binomial distribution with parameters (known) and . Find the maximum likelihood estimator of .
Suppose that X has the binomial distribution b(p,n). Find the Jeffreys prior for p and the associated Bayes estimator.

Suppose that X has the binomial distribution b(p,n). Find the Jeffreys prior for p and the associated Bayes estimator.
3. Suppose Xi, X2, and X are independent random variables drawn from a binomial distribution with parameters p and n. The observed values are Xi -3, X2-4, and (a) Suppose n 12 and p is unknown. What...

3. Suppose Xi, X2, and X are independent random variables drawn from a binomial distribution with parameters p and n. The observed values are Xi -3, X2-4, and (a) Suppose n 12 and p is unknown. What is the maximum likelihood estimator (b) Suppose p - 0.4 and n is unknown. What is the maximum likelihood estimator for p? for n? (Note: Since n is discrete you can't use calculus for this; just write the formula and use trial and...

Problem 3 variables with parameter Let r be an unknown constant. Let W be an exponential random A-1/3. Let Xr+w. (a) What is the maximum likelihood estimator of r based on a single observation X...

Problem 3 variables with parameter Let r be an unknown constant. Let W be an exponential random A-1/3. Let Xr+w. (a) What is the maximum likelihood estimator of r based on a single observation X (b) What is the mean-squared error of the estimator from part (a):? (c) Is the estimator from part (a) biased or unbiased? Problem 3 variables with parameter Let r be an unknown constant. Let W be an exponential random A-1/3. Let Xr+w. (a) What is...
Consider the probability density function f(x) = 102xe-x/0, OsXs0, 0<< Find the maximum likelihood estimator for...

Consider the probability density function f(x) = 102xe-x/0, OsXs0, 0<< Find the maximum likelihood estimator for 0. Choose the correct answer. O 0^= {i = 1nxi2n 0^ = 2n i = 1 nxi O 0^ = {i = 1nxin O 0^= n <i = 1 nxi O ^= n i = 1 nxi
2. Let X1, X2, ...,Xbe i.i.d. Poisson with parameter .. (a) Find the maximum likelihood estimator...

2. Let X1, X2, ...,Xbe i.i.d. Poisson with parameter .. (a) Find the maximum likelihood estimator of . Is the estimator minimum variance unbi- ased? (b) Derive the asymptotic (large-sample) distribution of the maximum likelihood estimator. (c) Suppose we are interested in the probability of a zero: Q = P(Xi = 0) = exp(-). Find the maximum likelihood estimator of O and its asymptotic distribution.

6. Find the moment and maximum likelihood estimates of the parameter p of the negative -.. , Xn. ...

6. Find the moment and maximum likelihood estimates of the parameter p of the negative -.. , Xn. Recall that the pmf is , and again when maximizing consider binomial distribution given an iid sample from it: X1, given by p(k) = ( )prqk-r for k = r, r + 1, the Bernoulli MLE 6. Find the moment and maximum likelihood estimates of the parameter p of the negative -.. , Xn. Recall that the pmf is , and again...