000 03530nam a22004455i 4500
001 978-0-387-68276-1
003 DE-He213
005 20250710084006.0
007 cr nn 008mamaa
008 101125s2011 xxu| s |||| 0|eng d
020 _a9780387682761
_a99780387682761
024 7 _a10.1007/978-0-387-68276-1
_2doi
082 0 4 _a519.5
_223
100 1 _aMarshall, Albert W.
_eauthor.
245 1 0 _aInequalities: Theory of Majorization and Its Applications
_h[recurso electrónico] /
_cby Albert W. Marshall, Ingram Olkin, Barry C. Arnold.
250 _aSecond.
264 1 _aNew York, NY :
_bSpringer New York,
_c2011.
300 _aXXVIII, 909p. 60 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Series in Statistics,
_x0172-7397
505 0 _aIntroduction -- Doubly Stochastic Matrices -- Schur-Convex Functions -- Equivalent Conditions for Majorization -- Preservation and Generation of Majorization -- Rearrangements and Majorization -- Combinatorial Analysis -- Geometric Inequalities -- Matrix Theory -- Numerical Analysis -- Stochastic Majorizations -- Probabilistic, Statistical, and Other Applications -- Additional Statistical Applications -- Orderings Extending Majorization -- Multivariate Majorization -- Convex Functions and Some Classical Inequalities -- Stochastic Ordering -- Total Positivity -- Matrix Factorizations, Compounds, Direct Products, and M-Matrices -- Extremal Representations of Matrix Functions.
520 _aThis book's first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. "Inequalities: Theory of Majorization and its Applications" merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. ... This work is a valuable resource!" (Mathematical Reviews). "The authors ... present an extremely rich collection of inequalities in a remarkably coherent and unified approach. The book is a major work on inequalities, rich in content and original in organization." (Siam Review). "The appearance of ... Inequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines-probability, geometry, statistics, operations research, etc.-this work was a revelation to those of us who had been trying to make sense of his own corner of this material." (Linear Algebra and its Applications). This greatly expanded new edition includes recent research on stochastic, multivariate and group majorization, Lorenz order, and applications in physics and chemistry, in economics and political science, in matrix inequalities, and in probability and statistics. The reference list has almost doubled.
650 0 _aSTATISTICS.
650 0 _aMATHEMATICAL STATISTICS.
650 1 4 _aSTATISTICS.
650 2 4 _aSTATISTICAL THEORY AND METHODS.
700 1 _aOlkin, Ingram.
_eauthor.
700 1 _aArnold, Barry C.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387400877
830 0 _aSpringer Series in Statistics,
_x0172-7397
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-68276-1
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c57947
_d57947