Moments in probability and approximation theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow, Essex
Longman Scientific and Technical
1993
|
| Edition: | 1. publ. |
| Series: | Pitman research notes in mathematics series
287 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 411 S. Illustrationen |
| ISBN: | 0582227704 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV008160523 | ||
| 003 | DE-604 | ||
| 005 | 20220531 | ||
| 007 | t | ||
| 008 | 930804s1993 xxka||| |||| 00||| eng d | ||
| 020 | |a 0582227704 |9 0-582-22770-4 | ||
| 035 | |a (OCoLC)27642729 | ||
| 035 | |a (DE-599)BVBBV008160523 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a xxk |c XA-GB | ||
| 049 | |a DE-739 |a DE-355 |a DE-12 |a DE-384 |a DE-91G |a DE-824 |a DE-706 |a DE-521 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA221 | |
| 082 | 0 | |a 511/.42 |2 20 | |
| 084 | |a SI 880 |0 (DE-625)143209: |2 rvk | ||
| 084 | |a SK 470 |0 (DE-625)143241: |2 rvk | ||
| 084 | |a SK 800 |0 (DE-625)143256: |2 rvk | ||
| 084 | |a MAT 601f |2 stub | ||
| 084 | |a MAT 410f |2 stub | ||
| 100 | 1 | |a Anastassiou, George A. |d 1952- |e Verfasser |0 (DE-588)121815900 |4 aut | |
| 245 | 1 | 0 | |a Moments in probability and approximation theory |c George A. Anastassiou |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow, Essex |b Longman Scientific and Technical |c 1993 | |
| 300 | |a 411 S. |b Illustrationen | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pitman research notes in mathematics series |v 287 | |
| 650 | 7 | |a Approximation, théorie de l' |2 ram | |
| 650 | 7 | |a Probabilités |2 ram | |
| 650 | 7 | |a Schattingstheorie |2 gtt | |
| 650 | 7 | |a probabilité |2 inriac | |
| 650 | 7 | |a problème moment |2 inriac | |
| 650 | 7 | |a théorie approximation |2 inriac | |
| 650 | 4 | |a Approximation theory | |
| 650 | 4 | |a Probabilities | |
| 650 | 0 | 7 | |a Momentenproblem |0 (DE-588)4170422-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wahrscheinlichkeitstheorie |0 (DE-588)4079013-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Approximationstheorie |0 (DE-588)4120913-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Momentenproblem |0 (DE-588)4170422-8 |D s |
| 689 | 0 | 1 | |a Wahrscheinlichkeitstheorie |0 (DE-588)4079013-7 |D s |
| 689 | 0 | 2 | |a Approximationstheorie |0 (DE-588)4120913-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Pitman research notes in mathematics series |v 287 |w (DE-604)BV000022845 |9 287 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005383586&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-005383586 | ||
Record in the Search Index
| _version_ | 1804122542090223616 |
|---|---|
| adam_text | TABLE OF CONTENTS
PAGE
CHAPTER ONE
A Preview 1
I) On Chapter 2 2
II) On Chapter 3 4
III) On Chapter 4 6
IV) On Chapter 5 11
V) On Chapter 6 12
VI) On Chapter 7 14
VII) On Chapter 8 19
VIII) On Chapter 9 24
IX) On Chapter 10 26
X) On Chapter 11 29
XI) On Chapter 12 31
XII) On Chapter 13 33
XIII) On Chapter 14 35
XIV) On Chapter 15 36
CHAPTER TWO
Geometric Moment Theory
2.1) Methods of Optimal Distance and Optimal Ratio 33
2.2) Convex Moment Methods 59
CHAPTER THREE
Moment Problems Of Kantorovich Type And Kantorovich Radius
3.1) Moment Problems of Kantorovich Type 68
PAGE
3.2) Kantorovich Radius 73
CHAPTER FOUR
Moment Problems Related to c—Rounding Proportions
4.1) Moment Problems Related to c—Rounding Proportions Subject to One Moment
Condition 80
4.2) Moment Problems Related to c—Rounding Proportions Subject to Two Moment
Conditions 90
4.3) Moment Problems Related to Jefferson Rounding Proportions Subject to Two
Moment Conditions 100
4.4) Moment Problems Related to Adams Rule of Rounding Subject to Two Moment
Conditions 107
4.5) Moment Problems Related to Jefferson and Adams rules of Rounding Subject to
One Moment Condition 112
CHAPTER FIVE
The Levy Radius
5.1) The Levy Radius of a Set of Probability Measures Satisfying Moment Conditions
Involving {t, t2} 123
5.2) The Levy Radius of a Set of Probability Measures Satisfying Two Moment
Conditions Involving a Tchebycheff System 129
CHAPTER SIX
The Prokhorov Radius
6.1) The Prokhorov Radius of a Set of Probability Measures Satisfying Moment
Conditions involving {t,t2} 150
6.2) The Trigonometric Prokhorov Radius 170
PAGE
CHAPTER SEVEN
Probability Measures, Positive Linear Operators and Korovkin Type
Inequalities
7.1) Introduction 199
7.2) Optimal Korovkin Type Inequalities 212
7.3) Nearly Optimal Korovkin Inequalities 223
7.4) Multivariate Korovkin Type Inequalities 234
CHAPTER EIGHT
Optimal Korovkin Type Inequalities Under Convexity
8.1) On the Degree of Weak Convergence of a Sequence of Finite Measures
to the Unit Measure Under Convexity 242
8.2) On the Rate of Weak Convergence of Convex Type Finite Measures
to the Unit Measure 259
8.3) On the Smooth Rate of Weak Convergence of Convex Type Finite Measures
to the Unit Measure 278
CHAPTER NINE
Optimal Korovkin Type Inequalities for Convolution Type Operators
9.1) Sharp Inequalities for Convolution Operators 296
9.2) Sharp Inequalities for Non positive Generalized Convolution
Operators 303
CHAPTER TEN
10.1) Optimal Korovkin Type Inequalities for Positive Linear Stochastic Operators .. .313
PAGE
CHAPTER ELEVEN
11.1) Optimal Korovkin Type Inequalities for Positive Linear Operators Using
an Extended Complete Tchebycheff System 332
CHAPTER TWELVE
12.1) A General K Attained Inequality Related to the Weak Convergence of
Probability Measures to the Unit Measure 355
CHAPTER THIRTEEN
13.1) A General Stochastic Inequality Involving Basic Moments 370
CHAPTER FOURTEEN
14.1) Miscellaneous Sharp Inequalities and Korovkin type Convergence Theorems
Involving Sequences of Basic Moments , 379
CHAPTER FIFTEEN
15.1) A Discrete Stochastic Korovkin Type Convergence Theorem ................... 386
Index .392
List of Symbols 393
References 396
|
| any_adam_object | 1 |
| author | Anastassiou, George A. 1952- |
| author_GND | (DE-588)121815900 |
| author_facet | Anastassiou, George A. 1952- |
| author_role | aut |
| author_sort | Anastassiou, George A. 1952- |
| author_variant | g a a ga gaa |
| building | Verbundindex |
| bvnumber | BV008160523 |
| callnumber-first | Q - Science |
| callnumber-label | QA221 |
| callnumber-raw | QA221 |
| callnumber-search | QA221 |
| callnumber-sort | QA 3221 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 880 SK 470 SK 800 |
| classification_tum | MAT 601f MAT 410f |
| ctrlnum | (OCoLC)27642729 (DE-599)BVBBV008160523 |
| dewey-full | 511/.42 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.42 |
| dewey-search | 511/.42 |
| dewey-sort | 3511 242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02282nam a2200577 cb4500</leader><controlfield tag="001">BV008160523</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220531 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">930804s1993 xxka||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0582227704</subfield><subfield code="9">0-582-22770-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)27642729</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV008160523</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxk</subfield><subfield code="c">XA-GB</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-521</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA221</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511/.42</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 880</subfield><subfield code="0">(DE-625)143209:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 470</subfield><subfield code="0">(DE-625)143241:</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">MAT 601f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 410f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Anastassiou, George A.</subfield><subfield code="d">1952-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)121815900</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Moments in probability and approximation theory</subfield><subfield code="c">George A. Anastassiou</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Harlow, Essex</subfield><subfield code="b">Longman Scientific and Technical</subfield><subfield code="c">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">411 S.</subfield><subfield code="b">Illustrationen</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">Pitman research notes in mathematics series</subfield><subfield code="v">287</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Approximation, théorie de l'</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Probabilités</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Schattingstheorie</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">probabilité</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">problème moment</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">théorie approximation</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Approximation theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Probabilities</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Momentenproblem</subfield><subfield code="0">(DE-588)4170422-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wahrscheinlichkeitstheorie</subfield><subfield code="0">(DE-588)4079013-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Approximationstheorie</subfield><subfield code="0">(DE-588)4120913-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Momentenproblem</subfield><subfield code="0">(DE-588)4170422-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Wahrscheinlichkeitstheorie</subfield><subfield code="0">(DE-588)4079013-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Approximationstheorie</subfield><subfield code="0">(DE-588)4120913-8</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">Pitman research notes in mathematics series</subfield><subfield code="v">287</subfield><subfield code="w">(DE-604)BV000022845</subfield><subfield code="9">287</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ 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=005383586&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-005383586</subfield></datafield></record></collection> |
| id | DE-604.BV008160523 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:15:32Z |
| institution | BVB |
| isbn | 0582227704 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005383586 |
| oclc_num | 27642729 |
| open_access_boolean | |
| owner | DE-739 DE-355 DE-BY-UBR DE-12 DE-384 DE-91G DE-BY-TUM DE-824 DE-706 DE-521 DE-11 DE-188 |
| owner_facet | DE-739 DE-355 DE-BY-UBR DE-12 DE-384 DE-91G DE-BY-TUM DE-824 DE-706 DE-521 DE-11 DE-188 |
| physical | 411 S. Illustrationen |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Longman Scientific and Technical |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Anastassiou, George A. 1952- Verfasser (DE-588)121815900 aut Moments in probability and approximation theory George A. Anastassiou 1. publ. Harlow, Essex Longman Scientific and Technical 1993 411 S. Illustrationen txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 287 Approximation, théorie de l' ram Probabilités ram Schattingstheorie gtt probabilité inriac problème moment inriac théorie approximation inriac Approximation theory Probabilities Momentenproblem (DE-588)4170422-8 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Momentenproblem (DE-588)4170422-8 s Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Approximationstheorie (DE-588)4120913-8 s DE-604 Pitman research notes in mathematics series 287 (DE-604)BV000022845 287 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005383586&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Anastassiou, George A. 1952- Moments in probability and approximation theory Pitman research notes in mathematics series Approximation, théorie de l' ram Probabilités ram Schattingstheorie gtt probabilité inriac problème moment inriac théorie approximation inriac Approximation theory Probabilities Momentenproblem (DE-588)4170422-8 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| subject_GND | (DE-588)4170422-8 (DE-588)4079013-7 (DE-588)4120913-8 |
| title | Moments in probability and approximation theory |
| title_auth | Moments in probability and approximation theory |
| title_exact_search | Moments in probability and approximation theory |
| title_full | Moments in probability and approximation theory George A. Anastassiou |
| title_fullStr | Moments in probability and approximation theory George A. Anastassiou |
| title_full_unstemmed | Moments in probability and approximation theory George A. Anastassiou |
| title_short | Moments in probability and approximation theory |
| title_sort | moments in probability and approximation theory |
| topic | Approximation, théorie de l' ram Probabilités ram Schattingstheorie gtt probabilité inriac problème moment inriac théorie approximation inriac Approximation theory Probabilities Momentenproblem (DE-588)4170422-8 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Approximationstheorie (DE-588)4120913-8 gnd |
| topic_facet | Approximation, théorie de l' Probabilités Schattingstheorie probabilité problème moment théorie approximation Approximation theory Probabilities Momentenproblem Wahrscheinlichkeitstheorie Approximationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005383586&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
| work_keys_str_mv | AT anastassiougeorgea momentsinprobabilityandapproximationtheory |