Let X1,..., Xn be iid with pdf f(x|) = x-1, 0 x 1, 0 <
Question:
f(x|θ) = θxθ-1, 0 ≤ x ≤ 1, 0 < θ < ∞
a. Find the MLE of θ, and show that its variance → 0 as → ∞.
b. Find the method of moments estimator of θ.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 92% (13 reviews)
a Set the derivative equal to zero and solve for t...View the full answer
Answered By
Rinku Pahel
I have given tuitions to 5-12 class. I have 4 years of experience in tuition.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Statistics questions
-
Let X1,..., Xn be iid with pdf f(x|) = 1/, 0 x , > 0 Estimate using both the method of moments and maximum likelihood. Calculate the means and variances of the two estimators. Which one should be...
-
As a generalization of the previous exercise, let X1,... ,Xn be iid with pdf Let X(1) a-1 otherwise
-
Let X1,..., Xn be iid with pdf fx(x), and let X denote the sample mean. Show that fx(x) = nfXl +.....+ xn(nx),
-
We saw in Section 25.6 that DCC can be used to form a peptide bond. We explored the mechanism, and we saw that DCC activates the COOH moiety so that it readily undergoes nucleophilic acyl...
-
The following legal claims exist for Kalamazoo Co. Identify the accounting treatment for each claim as either (a) A liability that is recorded or (b) An item described in notes to its financial...
-
We can use the data flow diagrams we completed to create data dictionary entries for all data flow and data stores, Chip says to Anna at their next meeting. Each of these components has a composition...
-
How important are environmental disclosures in the management discussion and analysis section of an annual report? Explain.
-
Safe Now sells its main product, ergonomic mouse pads, for $13 each. Its variable cost is $5.30 per pad. Fixed costs are $220,000 per month for volumes up to 65,000 pads. Above 65,000 pads, monthly...
-
15) Let f(x) = 4 e(5x-9x+1), g(x) = 5e (cos(7x), h(x) = 7 In (4x7 -5x + 1), and k(x) = 3 In [5sin (2x)]. Then find =1 f'(x), g'(x), h'(x), k'(x), g'(0), k'(0)
-
Carrie DLake, Reed A. Green, and Doug A. Divot share a passion for golf and decide to go into the golf club manufacturing business together. On January 2, 2017,DLake, Green, and Divot form the...
-
The independent random variables X 1 ,..., X n have the common distribution where the parameters and are positive. a. Find a two-dimensional sufficient statistic for (, ). b. Find the MLEs of and...
-
Let X1,..., Xn be a random sample from a population with pmf P(X = x) = x (1 - )1-x, x = 0 or 1, 0 1/2. a. Find the method of moments estimator and MLE of . b. Find the mean squared errors of each...
-
Repeat Problem 8.4-1, using a proportional-plus-integral digital filter. Problem 8.4-1 Consider the system of Fig. P8.2-2 with T = 1 s. The plant frequency response G(jo) is given in Table P8.4-1....
-
A1500 kg aircraft going35 m/s collides with a2000 kg aircraft that is parked and they stick together after the collision and are going 15 m/s after the collision. If they skid for 106.8 m before...
-
A solid insulating sphere of 1.0 cm radius is uniformly charged throughout its volume with an unknown total charge Q. The electric field generated by the charged sphere is measured to be 100,000 N/C...
-
A conducting sphere of 4.0 cm radius has a cavity of 1.0 cm radius (sharing the same center). The conducting sphere has a total charge of + 15 nC. In addition, a - 12.0 nC point charge is located at...
-
3) A bicycle tire pump has a piston with area 0.40 in 2 . If a person exerts a force of 15 lb on the piston while inflating a tire, what pressure does this produce on the air in the pump? 4) A large...
-
Choose a product you buy on regular basis (something you buy more than 4x per year). Think about how the supply and demand changes based on things like seasons, price, advertising/media, etc. 1 -What...
-
A system is represented by Figure P2.36. (a) Determine the partial fraction expansion and y1t2 for a ramp input, r(t) = t, t 0. (b) Obtain a plot of y(t) for part (a), and find y(t) for t = 1.0 s....
-
The diameter of a sphere is 18 in. Find the largest volume of regular pyramid of altitude 15 in. that can be cut from the sphere if the pyramid is (a) square, (b) pentagonal, (c) hexagonal, and (d)...
-
If in Exercise 2.102 the person received a speeding ticket on his way to work, what is the probability that he passed through the radar trap located at L2?
-
Suppose that the four inspectors at a film factory are supposed to stamp the expiration date on each package of film at the end of the assembly line. John, who stamps 20% of the packages, fails to...
-
A regional telephone company operates three identical relay stations at different locations. During a one year period, the number of malfunctions reported by each station and the causes are shown...
-
Jessica and Gregory are married and file a joint return. They expect to have $425,000 of taxable income in the next year and are considering whether to purchase a personal residence that would...
-
If one person is selected Express the following probability as a simplified fraction and as a decimal. Marital Status of a Certain Population, Ages 18 or Older, in from the population Millions...
-
Westerville Company reported the following results from last year's operations: Sales Variable expenses Contribution margin Fixed expenses Net operating income Average operating assets $ 1,300,000...
Study smarter with the SolutionInn App