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Asymptotic Theory of Nonlinear Regression Softcover Repri Edition
Contributor(s): Ivanov, A. a. (Author)

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 ISBN: 9048147751     ISBN-13: 9789048147755
Publisher: Springer
OUR PRICE: $104.49  

Binding Type: Paperback
Published: December 2010
Qty:

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Additional Information
BISAC Categories:
- Mathematics | Probability & Statistics - General
- Mathematics | Applied
- Science | System Theory
Dewey: 519.536
Series: Mathematics and Its Applications
Physical Information: 0.71" H x 6.14" W x 9.21" L (1.05 lbs) 330 pages
Features: Bibliography
 
Descriptions, Reviews, Etc.
Publisher Description:
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 ().
 
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