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Asymptotic Theory of Nonlinear Regression (Paperback, Softcover reprint of the original 1st ed. 1997) Loot Price: R2,887
Discovery Miles 28 870
Asymptotic Theory of Nonlinear Regression (Paperback, Softcover reprint of the original 1st ed. 1997): A. A. Ivanov

Asymptotic Theory of Nonlinear Regression (Paperback, Softcover reprint of the original 1st ed. 1997)

A. A. Ivanov

Series: Mathematics and Its Applications, 389

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Loot Price R2,887 Discovery Miles 28 870 | Repayment Terms: R271 pm x 12*

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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 GBPi = {1R1 , 8 , Pi(), () E e} a statistical experiment generated by the observation Xi. n We shall say that a statistical experiment GBPn = {lRn, 8 , P; ,() E e} is the product of the statistical experiments GBPi, 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 GBPn is generated by n independent observations X = (X1, ... ,Xn). In this book we study the statistical experiments GBPn 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 ().

General

Imprint: Springer
Country of origin: Netherlands
Series: Mathematics and Its Applications, 389
Release date: December 2010
First published: 1997
Authors: A. A. Ivanov
Dimensions: 235 x 155 x 18mm (L x W x T)
Format: Paperback
Pages: 330
Edition: Softcover reprint of the original 1st ed. 1997
ISBN-13: 978-90-481-4775-5
Categories: Books > Science & Mathematics > Mathematics > Probability & statistics
Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory
Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
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LSN: 90-481-4775-1
Barcode: 9789048147755

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