Asymptotic Theory of Nonlinear Regression:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1997
|
| Schriftenreihe: | Mathematics and Its Applications
389 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 () |
| Beschreibung: | 1 Online-Ressource (VI, 330 p) |
| ISBN: | 9789401588775 9789048147755 |
| DOI: | 10.1007/978-94-015-8877-5 |
Internformat
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| 300 | |a 1 Online-Ressource (VI, 330 p) | ||
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| 490 | 0 | |a Mathematics and Its Applications |v 389 | |
| 500 | |a 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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Datensatz im Suchindex
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| author | Ivanov, Alexander V. |
| author_facet | Ivanov, Alexander V. |
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| dewey-full | 519.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-015-8877-5 |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9789401588775 9789048147755 |
| language | English |
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| spelling | Ivanov, Alexander V. Verfasser aut Asymptotic Theory of Nonlinear Regression by Alexander V. Ivanov Dordrecht Springer Netherlands 1997 1 Online-Ressource (VI, 330 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 389 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 () Statistics Mathematics Systems theory Distribution (Probability theory) Statistics, general Probability Theory and Stochastic Processes Applications of Mathematics Mathematical Modeling and Industrial Mathematics Systems Theory, Control Mathematik Statistik Asymptotik (DE-588)4126634-1 gnd rswk-swf Nichtlineare Regression (DE-588)4251077-6 gnd rswk-swf Nichtlineare Regression (DE-588)4251077-6 s Asymptotik (DE-588)4126634-1 s 1\p DE-604 https://doi.org/10.1007/978-94-015-8877-5 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ivanov, Alexander V. Asymptotic Theory of Nonlinear Regression Statistics Mathematics Systems theory Distribution (Probability theory) Statistics, general Probability Theory and Stochastic Processes Applications of Mathematics Mathematical Modeling and Industrial Mathematics Systems Theory, Control Mathematik Statistik Asymptotik (DE-588)4126634-1 gnd Nichtlineare Regression (DE-588)4251077-6 gnd |
| subject_GND | (DE-588)4126634-1 (DE-588)4251077-6 |
| title | Asymptotic Theory of Nonlinear Regression |
| title_auth | Asymptotic Theory of Nonlinear Regression |
| title_exact_search | Asymptotic Theory of Nonlinear Regression |
| title_full | Asymptotic Theory of Nonlinear Regression by Alexander V. Ivanov |
| title_fullStr | Asymptotic Theory of Nonlinear Regression by Alexander V. Ivanov |
| title_full_unstemmed | Asymptotic Theory of Nonlinear Regression by Alexander V. Ivanov |
| title_short | Asymptotic Theory of Nonlinear Regression |
| title_sort | asymptotic theory of nonlinear regression |
| topic | Statistics Mathematics Systems theory Distribution (Probability theory) Statistics, general Probability Theory and Stochastic Processes Applications of Mathematics Mathematical Modeling and Industrial Mathematics Systems Theory, Control Mathematik Statistik Asymptotik (DE-588)4126634-1 gnd Nichtlineare Regression (DE-588)4251077-6 gnd |
| topic_facet | Statistics Mathematics Systems theory Distribution (Probability theory) Statistics, general Probability Theory and Stochastic Processes Applications of Mathematics Mathematical Modeling and Industrial Mathematics Systems Theory, Control Mathematik Statistik Asymptotik Nichtlineare Regression |
| url | https://doi.org/10.1007/978-94-015-8877-5 |
| work_keys_str_mv | AT ivanovalexanderv asymptotictheoryofnonlinearregression |