Dealing with uncertainties: a guide to error analysis
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2009
|
| Edition: | 2., enl. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 235 S. graph. Darst. |
| ISBN: | 9783642013836 364201383X 9783642013843 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV035719058 | ||
| 003 | DE-604 | ||
| 005 | 20101011 | ||
| 007 | t | ||
| 008 | 090910s2009 gw d||| |||| 00||| eng d | ||
| 015 | |a 09,A44,0875 |2 dnb | ||
| 016 | 7 | |a 996247238 |2 DE-101 | |
| 020 | |a 9783642013836 |9 978-3-642-01383-6 | ||
| 020 | |a 364201383X |9 3-642-01383-X | ||
| 020 | |a 9783642013843 |c ebook |9 978-3-642-01384-3 | ||
| 024 | 3 | |a 9783642013836 | |
| 028 | 5 | 2 | |a 12653621 |
| 035 | |a (OCoLC)428778369 | ||
| 035 | |a (DE-599)DNB996247238 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-BE | ||
| 049 | |a DE-20 |a DE-703 |a DE-92 |a DE-83 |a DE-11 |a DE-91G | ||
| 050 | 0 | |a QA275 | |
| 082 | 0 | |a 511.43 |2 22 | |
| 084 | |a SK 910 |0 (DE-625)143270: |2 rvk | ||
| 084 | |a 500 |2 sdnb | ||
| 084 | |a 620 |2 sdnb | ||
| 084 | |a MAT 661f |2 stub | ||
| 084 | |a MSR 020f |2 stub | ||
| 084 | |a 530 |2 sdnb | ||
| 100 | 1 | |a Drosg, Manfred |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Dealing with uncertainties |b a guide to error analysis |c Manfred Drosg |
| 250 | |a 2., enl. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2009 | |
| 300 | |a XIV, 235 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Messunsicherheit - Fehlerrechnung | |
| 650 | 4 | |a Error analysis (Mathematics) | |
| 650 | 0 | 7 | |a Messunsicherheit |0 (DE-588)4210374-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fehlerrechnung |0 (DE-588)4153837-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Messunsicherheit |0 (DE-588)4210374-5 |D s |
| 689 | 0 | 1 | |a Fehlerrechnung |0 (DE-588)4153837-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017995878&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-017995878 | ||
Record in the Search Index
| _version_ | 1804139929229328384 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION 1
1.1 THE EXACTNESS OF SCIENCE 2
1.2 DATA WITHOUT UNCERTAINTY 4
1.3 UNCERTAINTIES IN EVERY-DAY LIFE 5
2 BASICS ON DATA 7
2.1 MEASUREMENT DATA 7
2.2 ANALOG VS. DIGITAL 12
2.3 DEALING WITH DATA (NUMERALS) 14
3 BASICS ON UNCERTAINTIES 17
3.1 GENERAL CHARACTERISTICS OF UNCERTAINTIES 19
3.2 DEFINITIONS 22
3.3 UNCERTAINTY OF DATA DEPENDING ON ONE VARIABLE 33 3.4 MULTIPLE
UNCERTAINTY COMPONENTS (QUADRATIC SUM) 35 3.5 UNCERTAINTY EVALUATIONS
(ERROR ANALYSIS) 40
3.6 EXPERIMENTAL UNCERTAINTY 41
4 RADIOACTIVE DECAY, A MODEL FOR RANDOM EVENTS 49
4.1 TIME INTERVAL DISTRIBUTION OF RADIOACTIVE EVENTS 49 4.2 INDUCTIVE
APPROACH TO UNCERTAINTY (EXAMPLE) 57
5 FREQUENCY AND PROBABILITY DISTRIBUTIONS 69
5.1 FREQUENCY DISTRIBUTION (SPECTRUM) 69
5.2 PROBABILITY DISTRIBUTIONS 77
5.3 STATISTICAL CONFIDENCE 87
5.4 DEALING WITH PROBABILITIES 88
6 DEDUCTIVE APPROACH TO UNCERTAINTY 93
6.1 THEORETICAL SITUATION 93
6.2 PRACTICAL SITUATION 93
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/996247238
DIGITALISIERT DURCH
IMAGE 2
XIV CONTENTS
6.3 REGRESSION ANALYSIS (LEAST-SQUARES METHOD) 105 6.4 DATA CONSISTENCY
WITHIN DATA SETS 112
7 CORRELATION 115
7.1 INTRODUCTION 115
7.2 CORRELATED (SYSTEMATIC) UNCERTAINTIES 117
7.3 DIFFERENTIATION FROM SYSTEMATIC ERRORS 130
7.4 CORRELATION IN CASES OF LINEAR REGRESSION 137
7.5 CONSISTENCY AMONG DATA SETS 141
7.6 TARGET SHOOTING AS A MODEL FOR UNCERTAINTIES 147
8 DEALING WITH INTERNAL UNCERTAINTIES 151
8.1 CALCULATIONS WITH BOTH TYPES OF UNCERTAINTIES 154 8.2 TOTAL
UNCERTAINTY 163
8.3 USING INTERNAL UNCERTAINTIES FOR DIAGNOSIS 166
9 PRESENTATION AND ESTIMATION OF UNCERTAINTIES 173
9.1 GRAPHIC PRESENTATION, ALSO OF UNCERTAINTIES 173
9.2 CORRECT PRESENTATION OF UNCERTAINTIES 180
9.3 FINDING THE SIZE OF INTERNAL UNCERTAINTIES 182
9.4 ESTIMATING THE SIZE OF UNCERTAINTIES 184
10 FEEDBACK OF UNCERTAINTIES ON EXPERIMENT DESIGN 189 10.1 OPTIMIZING
EXPERIMENTS 189
10.2 OPTIMIZING BACKGROUND MEASUREMENTS 192
10.3 OPTIMIZING WITH RESPECT TO DEAD TIME 195
10.4 OPTIMIZING IN VIEW OF THE MATHEMATICAL PRESENTATION 197 10.5
ACHIEVING THE SMALLEST OVERALL UNCERTAINTY 200
SOLUTIONS 209
INDEX 223
|
| any_adam_object | 1 |
| author | Drosg, Manfred |
| author_facet | Drosg, Manfred |
| author_role | aut |
| author_sort | Drosg, Manfred |
| author_variant | m d md |
| building | Verbundindex |
| bvnumber | BV035719058 |
| callnumber-first | Q - Science |
| callnumber-label | QA275 |
| callnumber-raw | QA275 |
| callnumber-search | QA275 |
| callnumber-sort | QA 3275 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 910 |
| classification_tum | MAT 661f MSR 020f |
| ctrlnum | (OCoLC)428778369 (DE-599)DNB996247238 |
| dewey-full | 511.43 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.43 |
| dewey-search | 511.43 |
| dewey-sort | 3511.43 |
| dewey-tens | 510 - Mathematics |
| discipline | Maschinenbau / Maschinenwesen Allgemeine Naturwissenschaft Physik Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik |
| edition | 2., enl. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01879nam a2200541 c 4500</leader><controlfield tag="001">BV035719058</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20101011 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">090910s2009 gw d||| |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">09,A44,0875</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">996247238</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642013836</subfield><subfield code="9">978-3-642-01383-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">364201383X</subfield><subfield code="9">3-642-01383-X</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642013843</subfield><subfield code="c">ebook</subfield><subfield code="9">978-3-642-01384-3</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783642013836</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">12653621</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)428778369</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB996247238</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">gw</subfield><subfield code="c">XA-DE-BE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-91G</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA275</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.43</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 910</subfield><subfield code="0">(DE-625)143270:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">500</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">620</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 661f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MSR 020f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">530</subfield><subfield code="2">sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Drosg, Manfred</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Dealing with uncertainties</subfield><subfield code="b">a guide to error analysis</subfield><subfield code="c">Manfred Drosg</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2., enl. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIV, 235 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="650" ind1=" " ind2="4"><subfield code="a">Messunsicherheit - Fehlerrechnung</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Error analysis (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Messunsicherheit</subfield><subfield code="0">(DE-588)4210374-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fehlerrechnung</subfield><subfield code="0">(DE-588)4153837-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Messunsicherheit</subfield><subfield code="0">(DE-588)4210374-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Fehlerrechnung</subfield><subfield code="0">(DE-588)4153837-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB 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=017995878&sequence=000001&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:BVB01-017995878</subfield></datafield></record></collection> |
| id | DE-604.BV035719058 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:51:53Z |
| institution | BVB |
| isbn | 9783642013836 364201383X 9783642013843 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017995878 |
| oclc_num | 428778369 |
| open_access_boolean | |
| owner | DE-20 DE-703 DE-92 DE-83 DE-11 DE-91G DE-BY-TUM |
| owner_facet | DE-20 DE-703 DE-92 DE-83 DE-11 DE-91G DE-BY-TUM |
| physical | XIV, 235 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer |
| record_format | marc |
| spelling | Drosg, Manfred Verfasser aut Dealing with uncertainties a guide to error analysis Manfred Drosg 2., enl. ed. Berlin [u.a.] Springer 2009 XIV, 235 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Messunsicherheit - Fehlerrechnung Error analysis (Mathematics) Messunsicherheit (DE-588)4210374-5 gnd rswk-swf Fehlerrechnung (DE-588)4153837-7 gnd rswk-swf Messunsicherheit (DE-588)4210374-5 s Fehlerrechnung (DE-588)4153837-7 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017995878&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Drosg, Manfred Dealing with uncertainties a guide to error analysis Messunsicherheit - Fehlerrechnung Error analysis (Mathematics) Messunsicherheit (DE-588)4210374-5 gnd Fehlerrechnung (DE-588)4153837-7 gnd |
| subject_GND | (DE-588)4210374-5 (DE-588)4153837-7 |
| title | Dealing with uncertainties a guide to error analysis |
| title_auth | Dealing with uncertainties a guide to error analysis |
| title_exact_search | Dealing with uncertainties a guide to error analysis |
| title_full | Dealing with uncertainties a guide to error analysis Manfred Drosg |
| title_fullStr | Dealing with uncertainties a guide to error analysis Manfred Drosg |
| title_full_unstemmed | Dealing with uncertainties a guide to error analysis Manfred Drosg |
| title_short | Dealing with uncertainties |
| title_sort | dealing with uncertainties a guide to error analysis |
| title_sub | a guide to error analysis |
| topic | Messunsicherheit - Fehlerrechnung Error analysis (Mathematics) Messunsicherheit (DE-588)4210374-5 gnd Fehlerrechnung (DE-588)4153837-7 gnd |
| topic_facet | Messunsicherheit - Fehlerrechnung Error analysis (Mathematics) Messunsicherheit Fehlerrechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017995878&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT drosgmanfred dealingwithuncertaintiesaguidetoerroranalysis |