Verfügbarkeit: Multivariate dispersion, central regions, and depth

Gespeichert in:

Bibliographische Detailangaben
Titel:	Multivariate dispersion, central regions, and depth the lift zonoid approach
Von:	Karl Mosler
Person:	Mosler, Karl C. 1947- Verfasser aut
Hauptverfasser:	Mosler, Karl C. 1947- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York [u.a.] Springer 2002
Schriftenreihe:	Lecture notes in statistics 165
Notation:	SI 856 SK 800
Schlagwörter:	Mesures de probabilités Probability measures Wahrscheinlichkeitsmaß Multivariate Analyse
Medienzugang:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009883244&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	X, 291 S. graph. Darst.
ISBN:	0387954120

Internformat

MARC


LEADER	00000nam a2200000zcb4500
001	BV014497354
003	DE-604
005	20150304
007	t\|
008	020603s2002 xxud\|\|\| \|\|\|\| 00\|\|\| eng d
010			\|a 2002067536
016	7		\|a 965466388 \|2 DE-101
020			\|a 0387954120 \|9 0-387-95412-0
035			\|a (OCoLC)49705017
035			\|a (DE-599)BVBBV014497354
040			\|a DE-604 \|b ger \|e aacr
041	0		\|a eng
044			\|a xxu \|c US
049			\|a DE-739 \|a DE-824 \|a DE-19 \|a DE-384 \|a DE-91G \|a DE-521 \|a DE-83 \|a DE-11
050		0	\|a QA273.6.M68 2002
082	0		\|a 519.2 21
082	0		\|a 519.2 \|2 21
084			\|a SI 856 \|0 (DE-625)143202: \|2 rvk
084			\|a SK 800 \|0 (DE-625)143256: \|2 rvk
084			\|a 15 \|2 sdnb
084			\|a 27 \|2 sdnb
100	1		\|a Mosler, Karl C. \|d 1947- \|e Verfasser \|0 (DE-588)118195042 \|4 aut
245	1	0	\|a Multivariate dispersion, central regions, and depth \|b the lift zonoid approach \|c Karl Mosler
264		1	\|a New York [u.a.] \|b Springer \|c 2002
300			\|a X, 291 S. \|b graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	1		\|a Lecture notes in statistics \|v 165
650		4	\|a Mesures de probabilités
650		4	\|a Probability measures
650	0	7	\|a Wahrscheinlichkeitsmaß \|0 (DE-588)4137556-7 \|2 gnd \|9 rswk-swf
650	0	7	\|a Multivariate Analyse \|0 (DE-588)4040708-1 \|2 gnd \|9 rswk-swf
689	0	0	\|a Multivariate Analyse \|0 (DE-588)4040708-1 \|D s
689	0	1	\|a Wahrscheinlichkeitsmaß \|0 (DE-588)4137556-7 \|D s
689	0		\|5 DE-604
830		0	\|a Lecture notes in statistics \|v 165 \|w (DE-604)BV002447846 \|9 165
856	4	2	\|m GBV Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009883244&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-009883244

Datensatz im Suchindex

DE-BY-TUM_call_number	0102 MAT 627f 2001 A 25581
DE-BY-TUM_katkey	1475347
DE-BY-TUM_location	01
DE-BY-TUM_media_number	040020085352
_version_	1821933045436907521
adam_text	KARL MOSLER MULTIVARIATE DISPERSION, CENTRAL REGIONS AND DEPTH THE LIFT ZONOID APPROACH SPRINGER CONTENTS PREFACE V 1 INTRODUCTION 1 1.1 THE BRIEF 1 1.2 REPRESENTING A PROBABILITY MEASURE 2 1.3 LIFT ZONOIDS 4 1.4 EXAMPLES OF LIFT ZONOIDS 9 1.5 REPRESENTING DISTRIBUTIONS BY CONVEX COMPACTS 14 1.6 ORDERING DISTRIBUTIONS 16 1.7 CENTRAL REGIONS AND DATA DEPTH 19 1.8 STATISTICAL INFERENCE 22 2 ZONOIDS AND LIFT ZONOIDS 25 2.1 ZONOTOPES AND ZONOIDS 27 ,2.1.1 ZONOID OF A MEASURE 27 2.1.2 EQUIVALENT DEFINITIONS OF THE ZONOID OF A MEASURE ... 30 2.1.3 SUPPORT FUNCTION OF A ZONOID 32 2.1.4 ZONOIDS AS EXPECTED RANDOM SEGMENTS . . . . . . . . . 34 2.1.5 VOLUME OF A ZONOID 35 2.1.6 MEASURES WITH EQUAL ZONOIDS 38 2.2 LIFT ZONOID OF A MEASURE 40 2.2.1 DEFINITION AND FIRST PROPERTIES 40 2.2.2 LIFT ZONOTOPE 43 2.2.3 UNIVARIATE CASE . 43 2.3 EMBEDDING INTO CONVEX COMPACTS 48 2.3.1 INCLUSION OF LIFT ZONOIDS 49 2.3.2 UNIQUENESS OF THE REPRESENTATION 50 2.3.3 LIFT ZONOID METRIC 51 2.3.4 LINEAR TRANSFORMATIONS AND PROJECTIONS 52 2.3.5 LIFT ZONOIDS OF SPHERICAL AND ELLIPTICAL DISTRIBUTIONS . . 55 VIII CONTENTS 2.4 CONTINUITY AND APPROXIMATION 58 2.4.1 CONVERGENCE OF LIFT ZONOIDS 59 2.4.2 MONOTONE APPROXIMATION OF MEASURES 65 2.4.3 VOLUME OF A LIFT ZONOID 66 2.5 LIMIT THEOREMS 68 2.6 REPRESENTATION OF MEASURES BY A FUNCTIONAL 71 2.6.1 STATISTICAL REPRESENTATIONS 74 2.6.2 LIFT ZONOIDS AND THE EMPIRICAL PROCESS 77 2.7 NOTES 77 CENTRAL REGIONS 79 3.1 ZONOID TRIMMED REGIONS 81 3.2 PROPERTIES 84 3.3 UNIVARIATE CENTRAL REGIONS 85 3.4 EXAMPLES OF ZONOID TRIMMED REGIONS 88 3.5 NOTIONS OF CENTRAL REGIONS 93 3.6 CONTINUITY AND LAW OF LARGE NUMBERS 96 3.7 FURTHER PROPERTIES 97 3.8 TRIMMING OF EMPIRICAL MEASURES 100 3.9 COMPUTATION OF ZONOID TRIMMED REGIONS 102 3.10 NOTES 103 DATA DEPTH 105 4.1 ZONOID DEPTH 108 4.2 PROPERTIES OF THE ZONOID DEPTH ILL 4.3 DIFFERENT NOTIONS OF DATA DEPTH 116 4.4 COMBINATORIAL INVARIANCE . * 123 4.5- COMPUTATION OF THE ZONOID DEPTH 127 4.6 NOTES 130 INFERENCE BASED ON DATA DEPTH 133 (BY RAINER DYCKERHOFF ) 5.1 GENERAL NOTION OF DATA DEPTH 134 5.2 TWO-SAMPLE DEPTH TEST FOR SCALE 136 5.3 TWO-SAMPLE RANK TEST FOR LOCATION AND SCALE 139 5.4 CLASSICAL TWO-SAMPLE TESTS . . . 141 5.4.1 BOX S M TEST 141 5.4.2 FRIEDMAN-RAFSKY TEST 142 5.4.3 HOTELLING S T 2 TEST 144 5.4.4 PURI-SEN TEST 145 5.5 A NEW WILCOXON DISTANCE TEST 147 5.6 POWER COMPARISON 149 CONTENTS IX 5.7 NOTES 163 DEPTH OF HYPERPLANES 165 6.1 DEPTH OF A HYPERPLANE AND MHD OF A SAMPLE 166 6.2 PROPERTIES OF MHD AND MAJORITY DEPTH 168 6.3 COMBINATORIAL INVARIANCE 171 6.4 MEASURING COMBINATORIAL DISPERSION 173 6.5 MHD STATISTICS 174 6.6 SIGNIFICANCE TESTS AND THEIR POWER 174 6.7 NOTES 179 VOLUME STATISTICS 181 7.1 UNIVARIATE GINI INDEX 182 7.2 LIFT ZONOID VOLUME 186 7.3 EXPECTED VOLUME OF A RANDOM CONVEX HULL 188 7.4 THE MULTIVARIATE VOLUME-GINI INDEX 191 7.5 VOLUME STATISTICS IN CLUSTER ANALYSIS 197 7.6 MEASURING DEPENDENCY 198 7.7 NOTES 205 ORDERINGS AND INDICES OF DISPERSION 207 8.1 LIFT ZONOID ORDER 208 8.2 ORDER OF MARGINALS AND INDEPENDENCE 213 8.3 ORDER OF CONVOLUTIONS 214 8.4 LIFT ZONOID ORDER VS. CONVEX ORDER 216 8.5 VOLUME INEQUALITIES AND RANDOM DETERMINANTS 219 8.6 INCREASING, SCALED, AND CENTERED ORDERS . .... 219 8.7 * PROPERTIES OF DISPERSION ORDERS 222 8.8 MULTIVARIATE INDICES OF DISPERSION 224 8.9 NOTES 228 ECONOMIC DISPARITY AND CONCENTRATION 229 9.1 MEASURING ECONOMIC INEQUALITY 230 9.2 INVERSE LORENZ FUNCTION (ILF) 232 9.3 PRICE LORENZ ORDER 238 9.4 MAJORIZATIONS OF ABSOLUTE ENDOWMENTS 242 9.5 OTHER INEQUALITY ORDERINGS 245 9.6 MEASURING INDUSTRIAL CONCENTRATION 248 9.7 MULTIVARIATE CONCENTRATION FUNCTION 252 9.8 MULTIVARIATE CONCENTRATION INDICES 255 9.9 NOTES 257 APPENDIX A: BASIC NOTIONS 259
any_adam_object	1
author	Mosler, Karl C. 1947-
author_GND	(DE-588)118195042
author_facet	Mosler, Karl C. 1947-
author_role	aut
author_sort	Mosler, Karl C. 1947-
author_variant	k c m kc kcm
building	Verbundindex
bvnumber	BV014497354
callnumber-first	Q - Science
callnumber-label	QA273
callnumber-raw	QA273.6.M68 2002
callnumber-search	QA273.6.M68 2002
callnumber-sort	QA 3273.6 M68 42002
callnumber-subject	QA - Mathematics
classification_rvk	SI 856 SK 800
ctrlnum	(OCoLC)49705017 (DE-599)BVBBV014497354
dewey-full	519.221 519.2
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	519 - Probabilities and applied mathematics
dewey-raw	519.2 21 519.2
dewey-search	519.2 21 519.2
dewey-sort	3519.2 221
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01868nam a2200493zcb4500</leader><controlfield tag="001">BV014497354</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150304 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">020603s2002 xxud\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2002067536</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">965466388</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387954120</subfield><subfield code="9">0-387-95412-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)49705017</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014497354</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-739</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-521</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA273.6.M68 2002</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.2 21</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.2</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 856</subfield><subfield code="0">(DE-625)143202:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 800</subfield><subfield code="0">(DE-625)143256:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">15</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">27</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mosler, Karl C.</subfield><subfield code="d">1947-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)118195042</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Multivariate dispersion, central regions, and depth</subfield><subfield code="b">the lift zonoid approach</subfield><subfield code="c">Karl Mosler</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2002</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 291 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in statistics</subfield><subfield code="v">165</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mesures de probabilités</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Probability measures</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wahrscheinlichkeitsmaß</subfield><subfield code="0">(DE-588)4137556-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Multivariate Analyse</subfield><subfield code="0">(DE-588)4040708-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Multivariate Analyse</subfield><subfield code="0">(DE-588)4040708-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Wahrscheinlichkeitsmaß</subfield><subfield code="0">(DE-588)4137556-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in statistics</subfield><subfield code="v">165</subfield><subfield code="w">(DE-604)BV002447846</subfield><subfield code="9">165</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009883244&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009883244</subfield></datafield></record></collection>
id	DE-604.BV014497354
illustrated	Illustrated
indexdate	2024-12-20T11:04:35Z
institution	BVB
isbn	0387954120
language	English
lccn	2002067536
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-009883244
oclc_num	49705017
open_access_boolean
owner	DE-739 DE-824 DE-19 DE-BY-UBM DE-384 DE-91G DE-BY-TUM DE-521 DE-83 DE-11
owner_facet	DE-739 DE-824 DE-19 DE-BY-UBM DE-384 DE-91G DE-BY-TUM DE-521 DE-83 DE-11
physical	X, 291 S. graph. Darst.
publishDate	2002
publishDateSearch	2002
publishDateSort	2002
publisher	Springer
record_format	marc
series	Lecture notes in statistics
series2	Lecture notes in statistics
spellingShingle	Mosler, Karl C. 1947- Multivariate dispersion, central regions, and depth the lift zonoid approach Lecture notes in statistics Mesures de probabilités Probability measures Wahrscheinlichkeitsmaß (DE-588)4137556-7 gnd Multivariate Analyse (DE-588)4040708-1 gnd
subject_GND	(DE-588)4137556-7 (DE-588)4040708-1
title	Multivariate dispersion, central regions, and depth the lift zonoid approach
title_auth	Multivariate dispersion, central regions, and depth the lift zonoid approach
title_exact_search	Multivariate dispersion, central regions, and depth the lift zonoid approach
title_full	Multivariate dispersion, central regions, and depth the lift zonoid approach Karl Mosler
title_fullStr	Multivariate dispersion, central regions, and depth the lift zonoid approach Karl Mosler
title_full_unstemmed	Multivariate dispersion, central regions, and depth the lift zonoid approach Karl Mosler
title_short	Multivariate dispersion, central regions, and depth
title_sort	multivariate dispersion central regions and depth the lift zonoid approach
title_sub	the lift zonoid approach
topic	Mesures de probabilités Probability measures Wahrscheinlichkeitsmaß (DE-588)4137556-7 gnd Multivariate Analyse (DE-588)4040708-1 gnd
topic_facet	Mesures de probabilités Probability measures Wahrscheinlichkeitsmaß Multivariate Analyse
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009883244&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV002447846
work_keys_str_mv	AT moslerkarlc multivariatedispersioncentralregionsanddepththeliftzonoidapproach

Verfügbarkeit

‌

Per Fernleihe bestellen
Inhaltsverzeichnis