Substituting asymptotically unbiased for unbiased in Theorem 10.3, show that X + 1 / n+ 2

Question:

Substituting “asymptotically unbiased” for “ unbiased” in Theorem 10.3, show that X + 1 / n+ 2 is a consistent estimator of the binomial 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

Substituting asymptotically unbiased for unbiased in Theorem 10.3, use this theorem to rework Exercise 10.35.
Use the results of Theorem 8.1 on page 233 to show that X 2 is an asymptotically unbiased estimator of 2 .
An estimator n = h(W 1 , . . . ,W n ) is said to be asymptotically unbiased for if = . Suppose W is a random variable with E(W) = and with variance 2 . Show that W 2 is an asymptotically unbiased...
Kebri LTD. sells Radios and Televisions. They have recorded their monthly revenue as follows. Revenue(Y) 330 180 209 390 391 304 347 461 538 610 Radio units (X1) 55 71 92 113 134 156 171 193 219 232...
The random variable has the following probability distribution: a. Find the mean and standard deviation of b. What is the probability that is between m _ Ï and m _ s ? 0 0 0 0.6 P(x)
Briefly summarize this article including the main idea/thesis and a few of the main points it brings up to support the article. ...
A partnership is formed by Terrence investing $150 000 and Marco investing $100 000. The partners are considering the following plans for dividing profits and losses. According to the ratio of their...
All-Star Automotive Company experienced the following accounting events during 2016: 1. Performed services for $25,000 cash. 2. Purchased land for $6,000 cash. 3. Hired an accountant to keep the...
1. A planet is revolving around the sun in an elliptical orbit. The mass of planet is m, angular momentum of planet about sun is L, and length of semi major axis is a and eccentricity is e. Time...
Chumpy Lighting Limited manufactures a wide variety of light bulbs which it sells to lighting shops and builders merchants through wholesale distributors. It also sells direct to the big UK...
With reference to the uniform population of Example 10.4, use the definition of consistency to show that Yn, the nth order statistic, is a consistent estimator of the parameter . Example 10.4 If X1,...
Use the result of Example 8.4 on page 253 to show that for random samples of size n = 3 the median is a biased estimator of the parameter of an exponential population.
Why would you want to understand the dimensionality of a set of items?
What ethical considerations must be navigated when designing and implementing poverty alleviation interventions to ensure that they uphold human dignity, autonomy, and cultural sensitivity?
A risk manager self-insured a property risk for one year. even though no losses had occurred, the risk manager purchased property insurance to address the risk. What is the best explanation for the...
How do resilient individuals cultivate a robust psychological framework, characterized by adaptability, perseverance, and emotional fortitude, to navigate adversity, uncertainty, and setbacks with...
What innovative mechanisms exist to enhance access to quality education, healthcare, and vocational training, thereby empowering marginalized communities and attenuating the cycle of poverty?
A firm will generate 43% averate return from its optimum investments. The firm needs to borrow $3,865 at a market rate of 15% to maintain its optimum investment of $18,466. Assuming two-period...
Explain how to solve |ax + b| = k with k > 0 symbolically. Give an example.
How is use of the word consistent helpful in fraud reports?
Suppose that one of two people is to be randomly chosen, with equal probability, to attend an important meeting. One of them claims that using a coin to make the choice is not fair because the...
At the same time as new hires were taking place, many retailers were cutting back. Out of 1,000 Kwik Save stores in Britain, 107 were to be closed. Out of 424 Somerfield stores, 424 were to be...
Hong Kong's Mai Po marsh is an important migratory stopover for more than 100,000 birds per year from Siberia to Australia. Many of the bird species that stop in the marsh are endangered, and there...
A 0.810-kg ball has a velocity of 4.16 m/s to the right. Calculate the momentum of the ball in kg m/s. What velocity does a 10.-g bullet need to have in order to have the same momentum as the ball?...
Develop a SWOT analysis of Coles potential business. b. Can Cole be profitable and if so, in what period of time? c. What are the major business assumptions that require verification? d. Does Cole,...
The current temperature is 12 oC and the dew point is -29 oC. What is the relative humidity in percentage? Answer to one decimal place. The current temperature is 12 oC and the dew point is -29 oC....

Substituting asymptotically unbiased for unbiased in Theorem 10.3, show that X + 1 / n+ 2

Question:

Step by Step Answer:

Var X1 n2 n2 VarX 1 1 ...View the full answer

John E Freunds Mathematical Statistics With Applications

Students also viewed these Statistics questions