Projecting Statistical Functionals by Rychlik Tomasz (13 results)
Language: English
Published by Springer-Verlag, New York, Berlin, Heidelberg, 2001
Series: Lecture Notes in Statistics, Book 19 of 72. Book 19 of 72 - Lecture Notes in Statistics
- Softcover
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Paperback. Condition: Very Good. New York, Berlin, Heidelberg: Springer-Verlag, 2001. 175 pp. 23.5 x 15.5 cm. Very light rubbing to cover; sunning to spine. Interior is clean and unmarked; binding is firm. Soft Cover. Very Good. 8vo - over 7¾" - 9¾" tall.
Language: English
Published by Springer, 2001
Series: Lecture Notes in Statistics, Book 19 of 72. Book 19 of 72 - Lecture Notes in Statistics
- Softcover
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Language: English
Published by Springer, 2001
Series: Lecture Notes in Statistics, Book 19 of 72. Book 19 of 72 - Lecture Notes in Statistics
- Softcover
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Language: English
Published by Springer, 2001
Series: Lecture Notes in Statistics, Book 19 of 72. Book 19 of 72 - Lecture Notes in Statistics
- Softcover
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Language: English
Published by Springer New York, 2001
Series: Lecture Notes in Statistics, Book 19 of 72. Book 19 of 72 - Lecture Notes in Statistics
- Softcover
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Condition: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | About 10 years ago I began studying evaluations of distributions of or der statistics from samples with general dependence structure. Analyzing in [78] deterministic inequalities for arbitrary linear combinations of order statistics expressed in t…erms of sample moments, I observed that we obtain the optimal bounds once we replace the vectors of original coefficients of the linear combinations by the respective Euclidean norm projections onto the convex cone of vectors with nondecreasing coordinates. I further veri fied that various optimal evaluations of order and record statistics, derived earlier by use of diverse techniques, may be expressed by means of projec tions. In Gajek and Rychlik [32], we formulated for the first time an idea of applying projections onto convex cones for determining accurate moment bounds on the expectations of order statistics. Also for the first time, we presented such evaluations for non parametric families of distributions dif ferent from families of arbitrary, symmetric, and nonnegative distributions. We realized that this approach makes it possible to evaluate various func tionals of great importance in applied probability and statistics in different restricted families of distributions. The purpose of this monograph is to present the method of using pro jections of elements of functional Hilbert spaces onto convex cones for es tablishing optimal mean-variance bounds of statistical functionals, and its wide range of applications. This is intended for students, researchers, and practitioners in probability, statistics, and reliability.
Language: English
Published by Springer, 2001
Series: Lecture Notes in Statistics, Book 19 of 72. Book 19 of 72 - Lecture Notes in Statistics
- Softcover
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Condition: New. pp. 192.
Language: English
Published by Springer, 2001
Series: Lecture Notes in Statistics, Book 19 of 72. Book 19 of 72 - Lecture Notes in Statistics
- Softcover
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Paperback. Condition: Brand New. 1st edition. 184 pages. 9.25x6.00x0.25 inches. In Stock.
Language: English
Published by Springer, Springer, 2001
Series: Lecture Notes in Statistics, Book 19 of 72. Book 19 of 72 - Lecture Notes in Statistics
- Softcover
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - About 10 years ago I began studying evaluations of distributions of or der statistics from samples with general dependence structure. Analyzing in [78] deterministic inequalities for arbitrary linear combinations of order statistics expressed in te…rms of sample moments, I observed that we obtain the optimal bounds once we replace the vectors of original coefficients of the linear combinations by the respective Euclidean norm projections onto the convex cone of vectors with nondecreasing coordinates. I further veri fied that various optimal evaluations of order and record statistics, derived earlier by use of diverse techniques, may be expressed by means of projec tions. In Gajek and Rychlik [32], we formulated for the first time an idea of applying projections onto convex cones for determining accurate moment bounds on the expectations of order statistics. Also for the first time, we presented such evaluations for non parametric families of distributions dif ferent from families of arbitrary, symmetric, and nonnegative distributions. We realized that this approach makes it possible to evaluate various func tionals of great importance in applied probability and statistics in different restricted families of distributions. The purpose of this monograph is to present the method of using pro jections of elements of functional Hilbert spaces onto convex cones for es tablishing optimal mean-variance bounds of statistical functionals, and its wide range of applications. This is intended for students, researchers, and practitioners in probability, statistics, and reliability.
Language: English
Published by Springer New York, Springer New York Apr 2001, 2001
Series: Lecture Notes in Statistics, Book 19 of 72. Book 19 of 72 - Lecture Notes in Statistics
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -About 10 years ago I began studying evaluations of distributions of or der statistics from samples with general dependence structure. Analyzing in [78] deterministic inequalities for arbitrary linear combinations of order statistics… expressed in terms of sample moments, I observed that we obtain the optimal bounds once we replace the vectors of original coefficients of the linear combinations by the respective Euclidean norm projections onto the convex cone of vectors with nondecreasing coordinates. I further veri fied that various optimal evaluations of order and record statistics, derived earlier by use of diverse techniques, may be expressed by means of projec tions. In Gajek and Rychlik [32], we formulated for the first time an idea of applying projections onto convex cones for determining accurate moment bounds on the expectations of order statistics. Also for the first time, we presented such evaluations for non parametric families of distributions dif ferent from families of arbitrary, symmetric, and nonnegative distributions. We realized that this approach makes it possible to evaluate various func tionals of great importance in applied probability and statistics in different restricted families of distributions. The purpose of this monograph is to present the method of using pro jections of elements of functional Hilbert spaces onto convex cones for es tablishing optimal mean-variance bounds of statistical functionals, and its wide range of applications. This is intended for students, researchers, and practitioners in probability, statistics, and reliability. 192 pp. Englisch.
Language: English
Published by Springer New York, 2001
Series: Lecture Notes in Statistics, Book 19 of 72. Book 19 of 72 - Lecture Notes in Statistics
- Softcover
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book presents a method of establishing explicit solutions to classical problems of calculating the best lower and upper mean-variance bounds. The following families of distributions are taken into account: arbitr…ary, symmetric, symmetric unimodal, a.
Language: English
Published by Springer, 2001
Series: Lecture Notes in Statistics, Book 19 of 72. Book 19 of 72 - Lecture Notes in Statistics
- Softcover
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Condition: New. Print on Demand pp. 192 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.
Language: English
Published by Springer, 2001
Series: Lecture Notes in Statistics, Book 19 of 72. Book 19 of 72 - Lecture Notes in Statistics
- Softcover
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Condition: New. PRINT ON DEMAND pp. 192.
Language: English
Published by Springer, Springer Apr 2001, 2001
Series: Lecture Notes in Statistics, Book 19 of 72. Book 19 of 72 - Lecture Notes in Statistics
- Softcover
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book unifies a large number of results concerning the quantile function and order statistics. The audience will be statisticians and some probabilists or people using statistics.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 192 p…p. Englisch.
