If X1, X2, . . . , Xn constitute a random sample of size n from a

Question:

If X1, X2, . . . , Xn constitute a random sample of size n from a geometric population, show that Y = X1 + X2 + · · · + Xn is a sufficient estimator of the parameter θ.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

John E Freunds Mathematical Statistics With Applications

ISBN: 9780134995373

8th Edition

Authors: Irwin Miller, Marylees Miller

See More Books

Question Posted: Nov 04, 2015 03:33 AM

See More Questions

Use the method of maximum likelihood to rework Exercise 10.56. In exercise If X 1 , X 2 , . . . , X n constitute a random sample of size n from a population given by Find estimators for and by the...
If X 1 , X 2 , and X 3 constitute a random sample of size n = 3 from a normal population with the mean and the variance 2 , find the efficiency of X 1 + 2X 2 + X 3 / 4 relative to X 1 + X 2 + X 3 /...
Use the corollary of Theorem 4.15 on page 136 to show that if X1, X2, . . . , Xn constitute a random sample from an infinite population, then cov(Xr , ) = 0 for r = 1, 2, . . . , n. Theorem 4.15 If...
An experiment showed that subjects fed the DASH diet were able to lower their blood pressure by an average of 6.7 points compared to a group fed a "control diet." All meals were prepared by...
a. Form the probability distribution table for P(x) = x/6 for x = 1, 2, 3. b. Find the extensions xP(x) and for each x. c. Find [xP(x) and [x2P(x)] d. Find the mean for P(x) \= x/6 for x = 1, 2, 3...
Mirna Gaymer, vice president of operations for Rocky Mountain County Bank, has instructed the banks computer programmer to use a 365-day year to compute interest on depository accounts (payables)....
After receiving complaints from readers, your campus newspaper decides to redesign its front page. A new format B is developed and tested against the current format, A. A total of 100 students are...
The Drysdale, Koufax, and Marichal partnership has the following balance sheet immediately prior to liquidation: Cash . . . . . . . . . . . . . . . . . . . . . . $ 36,000 Noncash assets . . . . . . ....
EGR 104 Practice Practicum 1 Name: Ocean Salinity Guidelines: 1. Put your name at the top of this document and return it at the end of the exam. 2. Materials provided for reference: ASCII Table,...
There is a lottery with n coupons and n people take part in it. Each person picks exactly one coupon. Coupons are numbered consecutively from 1 to n, n being the maximum ticket number. The winner of...
If X 1 , X 2 , and X 3 constitute a random sample of size n = 3 from a Bernoulli population, show that Y = X 1 + 2X 2 + X 3 is not a sufficient estimator of . Consider special values of X 1 , X 2 ,...
Show that the estimator of Exercise 10.5 is a sufficient estimator of the variance of a normal population with the known mean . Exercise 10.5 Show that X is a minimum variance unbiased estimator of...
List the five maturity levels, and briefly describe each of them.
What are the purposes of regeneration, intercooling and reheating in a gas turbine? Compare Rankine cycle with Carnot cycle.
What is a gas turbine? What are the essential components of a gas turbine plant? How it differs from a steam turbine?
Explain the working principle of a gas turbine on closed cycle.
Discuss the classification of turbines. Also, discuss compounding of impulse turbine.
What are the advantages of the steam turbine over reciprocating engines?
West Coast Tours runs boat tours along the West Coast of British Columbia. On March 5, 2023, it purchased, with cash, a cruising boat for $828,000, having a useful life of 10 years or 13,250 hours,...
Hardin Services Co. experienced the following events in 2016: 1. Provided services on account. 2. Collected cash for accounts receivable. 3. Attempted to collect an account and, when unsuccessful,...
In 2003, there were 5,732 deaths from car accidents in France. The population of France is 59,625,919. If I am going to live in France for five years, what is my probability of dying in a car crash?
The probabilities that three drivers will be able to drive home safely after drinking are 0.5, 0.25, and 0.2, respectively. If they set out to drive home after drinking at a party, what is the...
When one is randomly sampling four items from a population, what is the probability that all four elements will come from the top quartile of the population distribution? What is the probability that...
In the diagram, let U = {all objects}, B = {all students who live in Hartford}, = {students majoring in math}, and R = {students taking a course with Professor Antonio} B M 1 2 3 5 + 6 7 8 R In which...
Risk Identification: Disruption Disruption Assessment: Assessment: Risk Risk Probability Risk 1: Cyberwarfare 1 Consequence 5 Risk 2: Natural 1 5 Diaster Risk 3: Supplier 2 2 closure Risk 4:...
How may price floors and ceilings destroy market equilibrium? How does the shape of the indicator line on the graph show diminishing returns? Monthly rent A Price Ceiling on Rent B $900 $800...

If X1, X2, . . . , Xn constitute a random sample of size n from a

Question:

Step by Step Answer:

fx 1 x1 Depen...View the full answer

John E Freunds Mathematical Statistics With Applications

Students also viewed these Statistics questions