Theory of Zipf's law and beyond:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Heidelberg [u.a.]
Springer
2010
|
| Series: | Lecture notes in economics and mathematical systems
632 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 171 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 9783642029455 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS 1 INTRODUCTION 1 2 CONTINUOUS GIBRAT S LAW AND GABAIX S
DERIVATION OFZIPF SLAW 9 2.1 DEFINITION OF CONTINUOUS GIBRAT S LAW 9 2.2
GEOMETRIC BROWNIAN MOTION 11 2.3 SELF-SIMILAR PROPERTIES OF THE
GEOMETRIC BROWNIAN MOTION 12 2.4 TIME REVERSIBLE GEOMETRIC BROWNIAN
MOTION 12 2.5 BALANCE CONDITION 13 2.6 LOG-NORMAL DISTRIBUTION 14 2.7
GABAIX S STEADY-STATE DISTRIBUTION 16 3 FLOW OF FIRM CREATION 19 3.1
EMPIRICAL EVIDENCE AND PREVIOUS WORKS ON THE ARRIVAL OF NEW FIRMS 19 3.2
MATHEMATICAL FORMULATION OF THE FLOW OF FIRM S BIRTHS AT RANDOM INSTANTS
21 3.3 EXISTENCE OF A STEADY-STATE DISTRIBUTION OF FIRM S SIZES 24 3.4
STEADY-STATE DENSITY OF FIRM S ASSET VALUES OBEYING GIBRAT S LAW 26 3.5
MEAN DENSITY OF FIRMS YOUNGER THAN AGE T 28 3.6 HEURISTIC DERIVATION OF
THE ORIGIN OF THE POWER LAW DISTRIBUTION OF FIRM SIZES GIVEN BY GIBRAT S
RULE 29 4 USEFUL PROPERTIES OF REALIZATIONS OF THE GEOMETRIC BROWNIAN
MOTION 41 4. 1 RELATIONSHIP BETWEEN THE DISTRIBUTIONS OF FINN S MEAN
AGES AND SIZES 41 4.2 MEAN GROWTH VS. STOCHASTIC DECAY 43 4.3
GEOMETRICALLY TRANSPARENT DEFINITIONS OF STOCHASTICALLY DECAYING AND
GROWING PROCESSES 45 4.4 MAJORANT CURVES OF STOCHASTICALLY DECAYING
GEOMETRIC BROWNIA BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/994783809 DIGITALISIERT DURCH VIII CONTENTS 4.5 MAXIMAL
VALUE OF STOCHASTICALLY DECAYING GEOMETRIC BROWNIAN MOTION 48 4.6
EXTREMAL PROPERTIES OF REALIZATIONS OF STOCHASTICALLY GROWING GEOMETRIC
BROWNIAN MOTION 50 4.7 QUANTILE CURVES 52 4.8 GEOMETRIC EXPLANATION OF
THE STEADY-STATE DENSITY OF A FIRM S ASSET VALUE 55 5 EXIT OR DEATH OF
FIRMS 59 5. 1 EMPIRICAL EVIDENCE AND PREVIOUS WORKS ON THE EXIT OF FIRMS
59 5.2 LIFE-SPAN ABOVE A GIVEN LEVEL 61 5.3 DISTRIBUTION OF FIRM S LIFE
DURATIONS ABOVE A SURVIVAL LEVEL 62 5.4 KILLING OF FIRMS UPON FIRST
REACHING A GIVEN ASSET LEVEL FROM ABOVE 63 5.5 LIFE-SPAN OF FINITELY
LIVING FIRMS 66 5.6 INFLUENCE OF FIRM S DEATH ON THE BALANCE CONDITION
67 5.7 FIRM S DEATH DOES NOT DESTROY ZIPF S LAW 68 5.8 ROBUSTNESS
VIS-A-VIS THE RANDOMNESS OF INITIAL FIRM S SIZES 70 6 DEVIATIONS FROM
GIBRAT S LAW AND IMPLICATIONS FOR GENERALIZED ZIPF S LAWS 73 6.1
GENERALIZED BROWNIAN MOTIONS 74 6.1.1 STATISTICAL PROPERTIES OF
GENERALIZED GBM 74 6.1.2 DETERMINISTIC SKELETON OF THE MEAN DENSITY G(S)
GIVEN BY A GENERALIZED-GBM 77 6.1.3 SIZE DEPENDENT DRIFT AND VOLATILITY
78 6.2 DIFFUSION PROCESS WITH CONSTANT VOLATILITY 79 6.3 STEADY-STATE
DENSITY OF FINN S ASSET VALUES IN THE PRESENCE OF DEVIATIONS FROM
GIBRAT S LAW 82 6.4 INTEGRATED FLOW 84 6. CONTENTS IX 8 NON-STATIONARY
MEAN BIRTH RATE 123 8.1 EXPONENTIAL GROWTH OF FIRM S BIRTH RATE 123 8.2
DETERMINISTIC SKELETON OF ZIPF S LAW 124 8.3 SIMPLE MODEL OF BIRTH RATE
COUPLED WITH THE OVERALL FIRM S VALUE 125 8.4 GENERALIZATION WHEN BOTH
THE INITIAL FIRM S SIZES AND THE MINIMUM FIRM S SIZE GROW AT CONSTANT
RATES 129 8.4.1 FORMULATION OF THE MODEL 129 8.4.2 PDF F(S;T,6) OF
FIRM S SIZE 132 8.4.3 MEAN DENSITY G{S,T) OF FIRM SIZES 133 8.4.4 LOCAL
PRINCIPLE 135 8.4.5 POWER LAW EXPONENT AND BALANCE CONDITION 136 8.4.6
FINITE LIFETIME OF THE ECONOMY AND TRANSITION TO THE POWER LAW REGIME
137 8.5 TIME-DEPENDENCE OF THE AVERAGE SIZE OF THE GLOBAL ECONOMY OF
FIRMS 141 9 PROPERTIES OF THE REALIZATION DEPENDENT DISTRIBUTION OF FIRM
SIZES 147 9.1 DERIVATION OF THE POISSONIAN DISTRIBUTION OF THE NUMBER OF
FIRMS... 147 9.2 FINITE-SIZE AND STATISTICAL FLUCTUATION EFFECTS ON THE
EMPIRICAL MEASUREMENT OF ZIPF S LAW 151 9.3 ESTIMATION OF THE
DISTRIBUTION OF FIRM SIZES 152 9.4 STATISTICAL FLUCTUATIONS OF THE SIZE
OF THE GLOBAL ECONOMY USING CHARACTERISTIC FUNCTIONS 154 10 FUTURE
DIRECTIONS AND CONCLUSIONS 159 10.1 MERGERS AND ACQUISITIONS AND
SPIN-OFFS 159 10.1.1 GENERAL FORMALISM 159 10.1.2 MERGERS AND
ACQUISITIONS AND SPIN-OFFS WIT
|
| any_adam_object | 1 |
| author | Saičev, Aleksandr I. 1946-2013 Malevergne, Yannick Sornette, Didier |
| author_GND | (DE-588)120364786 |
| author_facet | Saičev, Aleksandr I. 1946-2013 Malevergne, Yannick Sornette, Didier |
| author_role | aut aut aut |
| author_sort | Saičev, Aleksandr I. 1946-2013 |
| author_variant | a i s ai ais y m ym d s ds |
| building | Verbundindex |
| bvnumber | BV035865604 |
| classification_rvk | QH 500 QP 230 |
| ctrlnum | (OCoLC)530277556 (DE-599)DNB994783809 |
| dewey-full | 338.710151 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 338 - Production |
| dewey-raw | 338.710151 |
| dewey-search | 338.710151 |
| dewey-sort | 3338.710151 |
| dewey-tens | 330 - Economics |
| discipline | Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV035865604 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:06:29Z |
| institution | BVB |
| isbn | 9783642029455 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018723362 |
| oclc_num | 530277556 |
| open_access_boolean | |
| owner | DE-384 DE-83 DE-945 DE-12 DE-19 DE-BY-UBM |
| owner_facet | DE-384 DE-83 DE-945 DE-12 DE-19 DE-BY-UBM |
| physical | XII, 171 S. graph. Darst. 235 mm x 155 mm |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in economics and mathematical systems |
| series2 | Lecture notes in economics and mathematical systems |
| spelling | Saičev, Aleksandr I. 1946-2013 Verfasser (DE-588)120364786 aut Theory of Zipf's law and beyond Alexander Saichev ; Yannick Malevergne ; Didier Sornette Heidelberg [u.a.] Springer 2010 XII, 171 S. graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in economics and mathematical systems 632 Aziende - dimensioni - modelli matematici sbt Betriebsgrößenstruktur stw Città - dimensioni - modelli matematici sbt Economia - teorie sbt Gibratś law stw Marktaustritt stw Markteintritt stw Statistische Verteilung stw Theorie stw Unternehmensentwicklung stw Unternehmensgründung (DE-588)4078599-3 gnd rswk-swf Unternehmenswachstum (DE-588)4078620-1 gnd rswk-swf Unternehmensliquidation (DE-588)4127053-8 gnd rswk-swf Zipfsches Gesetz (DE-588)4190937-9 gnd rswk-swf Unternehmensgröße (DE-588)4117296-6 gnd rswk-swf Unternehmensgröße (DE-588)4117296-6 s Unternehmenswachstum (DE-588)4078620-1 s Zipfsches Gesetz (DE-588)4190937-9 s DE-604 Unternehmensgründung (DE-588)4078599-3 s Unternehmensliquidation (DE-588)4127053-8 s Malevergne, Yannick Verfasser aut Sornette, Didier Verfasser aut Erscheint auch als Online-Ausgabe 978-3-642-02946-2 Lecture notes in economics and mathematical systems 632 (DE-604)BV000000036 632 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018723362&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Saičev, Aleksandr I. 1946-2013 Malevergne, Yannick Sornette, Didier Theory of Zipf's law and beyond Lecture notes in economics and mathematical systems Aziende - dimensioni - modelli matematici sbt Betriebsgrößenstruktur stw Città - dimensioni - modelli matematici sbt Economia - teorie sbt Gibratś law stw Marktaustritt stw Markteintritt stw Statistische Verteilung stw Theorie stw Unternehmensentwicklung stw Unternehmensgründung (DE-588)4078599-3 gnd Unternehmenswachstum (DE-588)4078620-1 gnd Unternehmensliquidation (DE-588)4127053-8 gnd Zipfsches Gesetz (DE-588)4190937-9 gnd Unternehmensgröße (DE-588)4117296-6 gnd |
| subject_GND | (DE-588)4078599-3 (DE-588)4078620-1 (DE-588)4127053-8 (DE-588)4190937-9 (DE-588)4117296-6 |
| title | Theory of Zipf's law and beyond |
| title_auth | Theory of Zipf's law and beyond |
| title_exact_search | Theory of Zipf's law and beyond |
| title_full | Theory of Zipf's law and beyond Alexander Saichev ; Yannick Malevergne ; Didier Sornette |
| title_fullStr | Theory of Zipf's law and beyond Alexander Saichev ; Yannick Malevergne ; Didier Sornette |
| title_full_unstemmed | Theory of Zipf's law and beyond Alexander Saichev ; Yannick Malevergne ; Didier Sornette |
| title_short | Theory of Zipf's law and beyond |
| title_sort | theory of zipf s law and beyond |
| topic | Aziende - dimensioni - modelli matematici sbt Betriebsgrößenstruktur stw Città - dimensioni - modelli matematici sbt Economia - teorie sbt Gibratś law stw Marktaustritt stw Markteintritt stw Statistische Verteilung stw Theorie stw Unternehmensentwicklung stw Unternehmensgründung (DE-588)4078599-3 gnd Unternehmenswachstum (DE-588)4078620-1 gnd Unternehmensliquidation (DE-588)4127053-8 gnd Zipfsches Gesetz (DE-588)4190937-9 gnd Unternehmensgröße (DE-588)4117296-6 gnd |
| topic_facet | Aziende - dimensioni - modelli matematici Betriebsgrößenstruktur Città - dimensioni - modelli matematici Economia - teorie Gibratś law Marktaustritt Markteintritt Statistische Verteilung Theorie Unternehmensentwicklung Unternehmensgründung Unternehmenswachstum Unternehmensliquidation Zipfsches Gesetz Unternehmensgröße |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018723362&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000036 |
| work_keys_str_mv | AT saicevaleksandri theoryofzipfslawandbeyond AT malevergneyannick theoryofzipfslawandbeyond AT sornettedidier theoryofzipfslawandbeyond |