Chapter 06 - 103 Chapter 6 Chapter 6 Chapter 6 Chapter 6...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 103 Chapter 6 Chapter 6 Chapter 6 Chapter 6 Point Estimation Fill-in-the-Blank Questions Section 6.1 1. The objective of __________ is to select a single number such as 2 or s x , based on sample data, that represents a sensible value (good guess) for the true value of the population parameter, such as 2 or . ANSWER: point estimation 2. Given four observed values: 1 2 3 4 4.6, 6.2, 3.7, and 5.5, x x x x = = = = would result in a point estimate for that is equal to __________. ANSWER: 5 3. An estimator that has the properties of __________ and __________ will often be regarded as an accurate estimator. ANSWER: unbiasedness, minimum variance 4. A point estimator is said to be an __________ estimator of if ( ) E = for every possible value of . ANSWER: unbiased 5. The sample median %and any trimmed mean are unbiased estimators of the population mean if the random sample from a population that is __________ and __________. ANSWER: continuous, symmetric 6. Among all estimators of parameter that are unbiased, choose the one that has minimum variance. The resulting is called the __________ of . ANSWER: minimum variance unbiased estimator (MVUE) CHAPTER SIX 104 7. The standard error of an estimator is the __________ of . ANSWER: standard deviation Section 6.2 8. In your text, two important methods were discussed for obtaining point estimates: the method of __________ and the method of __________. ANSWER: moments, maximum likelihood 9. Let 1 , , n X X L L be a random sample from a probability mass function or probability density function f ( x ). For k = 1,2,3,, the k th population moment is denoted by __________, while the k th sample moment is __________. ANSWER: 1 ( ),(1 / ) n k k i i E X n X = 10. Let 1 , , n X X L L be a random sample of size n from an exponential distribution with parameter . The moment estimator of is = __________. ANSWER: 1/ X 11. Let 1 2 , , , n L L be the maximum likelihood estimates (mles) of the parameters 1 2 , , , n L L . Then the mle of any function h ( 1 2 , , , n L L ) of these parameters is the function 1 2 ( , , , ) m h L L of the mles. This result is known as the __________ principle. ANSWER: invariance Point Estimation 105 Multiple-Choice Questions Section 6.1 12. Which of the following statements are true? A. A point estimate of a population parameter is a single number that can be regarded as a sensible value of . B. A point estimate of a population parameter is obtained by selecting a suitable statistic and computing its value from the given sample data. The selected statistic is called the point estimator of ....
View Full Document

Page1 / 10

Chapter 06 - 103 Chapter 6 Chapter 6 Chapter 6 Chapter 6...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online