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Titlebook: Asymptotic Theory of Nonlinear Regression; Alexander V. Ivanov Book 1997 Springer Science+Business Media Dordrecht 1997 Estimator.Paramete

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期刊全稱Asymptotic Theory of Nonlinear Regression
影響因子2023Alexander V. Ivanov
視頻videohttp://file.papertrans.cn/164/163838/163838.mp4
學(xué)科分類Mathematics and Its Applications
圖書封面Titlebook: Asymptotic Theory of Nonlinear Regression;  Alexander V. Ivanov Book 1997 Springer Science+Business Media Dordrecht 1997 Estimator.Paramete
影響因子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 ().
Pindex Book 1997
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Book 1997 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
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