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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Pages
685
Publication Date
2022-04-05
Book Title
Large Sample Techniques for Statistics
Subject
Probability & Statistics / General, General
Edition Number
2
ISBN
9783030916947
Subject Area
Mathematics
Publication Name
Large Sample Techniques for Statistics
Item Length
9.3 in
Publisher
Springer International Publishing A&G
Series
Springer Texts in Statistics Ser.
Publication Year
2022
Type
Textbook
Format
Hardcover
Language
English
Author
Jiming Jiang
Item Width
6.1 in
Item Weight
42.8 Oz
Number of Pages
Xv, 685 Pages

About this product

Product Information

In a way, the world is made up of approximations, and surely there is no exception in the world of statistics. In fact, approximations, especially large sample approximations, are very important parts of both theoretical and - plied statistics.TheGaussiandistribution,alsoknownasthe normaldistri- tion,is merelyonesuchexample,dueto thewell-knowncentrallimittheorem. Large-sample techniques provide solutions to many practical problems; they simplify our solutions to di'cult, sometimes intractable problems; they j- tify our solutions; and they guide us to directions of improvements. On the other hand, just because large-sample approximations are used everywhere, and every day, it does not guarantee that they are used properly, and, when the techniques are misused, there may be serious consequences. 2 Example 1 (Asymptotic? distribution). Likelihood ratio test (LRT) is one of the fundamental techniques in statistics. It is well known that, in the 2 "standard" situation, the asymptotic null distribution of the LRT is?,with the degreesoffreedomequaltothe di'erencebetweenthedimensions,de'ned as the numbers of free parameters, of the two nested models being compared (e.g., Rice 1995, pp. 310). This might lead to a wrong impression that the 2 asymptotic (null) distribution of the LRT is always? . A similar mistake 2 might take place when dealing with Pearson's? -test--the asymptotic distri- 2 2 bution of Pearson's? -test is not always? (e.g., Moore 1978).

Product Identifiers

Publisher
Springer International Publishing A&G
ISBN-10
3030916944
ISBN-13
9783030916947
eBay Product ID (ePID)
23057293558

Product Key Features

Author
Jiming Jiang
Publication Name
Large Sample Techniques for Statistics
Format
Hardcover
Language
English
Subject
Probability & Statistics / General, General
Series
Springer Texts in Statistics Ser.
Publication Year
2022
Type
Textbook
Subject Area
Mathematics
Number of Pages
Xv, 685 Pages

Dimensions

Item Length
9.3 in
Item Width
6.1 in
Item Weight
42.8 Oz

Additional Product Features

Edition Number
2
Number of Volumes
1 Vol.
Lc Classification Number
Qa273.A1-274.9
Table of Content
Chapter 1. The -δ Arguments.- Chapter 2. Modes of Convergence.- Chapter 3. Big O, Small o, and the Unspecified c.- Chapter 4. Asymptotic Expansions.- Chapter 5. Inequalities.- Chapter 6. Sums of Independent Random Variables.- Chapter 7. Empirical Processes.- Chapter 8. Martingales.- Chapter 9. Time and Spatial Series.- Chapter 10. Stochastic Processes.- Chapter 11. Nonparametric Statistics.- Chapter 12. Mixed Effects Models.- Chapter 13. Small-Area Estimation.- Chapter 14. Jackknife and Bootstrap.- Chapter 15. Markov-Chain Monte Carlo.- Chapter 16. Random Matrix Theory.
Copyright Date
2022
Dewey Decimal
519.2
Dewey Edition
23
Illustrated
Yes

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