# Asymptotic Theory of Nonlinear Regression / Edition 1

Paperback (Print)
\$189.00
Used and New from Other Sellers
Used and New from Other Sellers
from \$137.21
Usually ships in 1-2 business days
(Save 27%)
Other sellers (Paperback)
• All (7) from \$137.21
• New (6) from \$137.21
• Used (1) from \$233.25

### Overview

Let us assume that an observation Xi is a random variable (r.v.) with values in 1 1 (1R1 , 8 ) and distribution Pi (1R1 is the real line, and 8 is the cr-algebra of its Borel subsets). Let us also assume that the unknown distribution Pi belongs to a 1 certain parametric family {Pi() , () E e}. We call the triple £i = {1R1 , 8 , Pi(), () E e} a statistical experiment generated by the observation Xi. n We shall say that a statistical experiment £n = {lRn, 8 , P; ,() E e} is the product of the statistical experiments £i, i = 1, ... ,n if PO' = P () X ... X P () (IRn 1 n n is the n-dimensional Euclidean space, and 8 is the cr-algebra of its Borel subsets). In this manner the experiment £n is generated by n independent observations X = (X1, ... ,Xn). In this book we study the statistical experiments £n generated by observations of the form j = 1, ... ,n. (0.1) Xj = g(j, (}) + cj, c c In (0.1) g(j, (}) is a non-random function defined on e , where e is the closure in IRq of the open set e ~ IRq, and C j are independent r. v .-s with common distribution function (dJ.) P not depending on ().

### Product Details

• ISBN-13: 9789048147755
• Publisher: Springer Netherlands
• Publication date: 12/7/2010
• Series: Mathematics and Its Applications (closed) Series, #389
• Edition description: Softcover reprint of hardcover 1st ed. 1997
• Edition number: 1
• Pages: 330
• Product dimensions: 6.14 (w) x 9.21 (h) x 0.71 (d)

Introduction. 1. Consistency. 2. Approximation by a Normal Distribution. 3. Asymptotic Expansions Related to the Least Squares Estimator. 4. Geometric Properties of Asymptotic Expansions. Appendix: I: Subsidiary Facts. II: List of Principal Notations. Commentary. Bibliography. Index.

## Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

(0)

(0)

(0)

(0)

### 1 Star

(0)

Your Name: Create a Pen Name or

### Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

### Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

### What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

### Reviews should not contain any of the following:

• - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
• - Time-sensitive information such as tour dates, signings, lectures, etc.
• - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
• - Comments focusing on the author or that may ruin the ending for others
• - Phone numbers, addresses, URLs
• - Pricing and availability information or alternative ordering information

### Reminder:

• - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
• - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
Search for Products You'd Like to Recommend

### Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

If you find inappropriate content, please report it to Barnes & Noble
Why is this product inappropriate?