Semi-Markov models and applications:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1999
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXI, 404 S. graph. Darst. |
| ISBN: | 0792359631 |
Internformat
MARC
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| 245 | 1 | 0 | |a Semi-Markov models and applications |c ed. by Jacques Janssen ... |
| 246 | 1 | 3 | |a Semi Markov models and applications |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1999 | |
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Datensatz im Suchindex
| _version_ | 1804127663078506496 |
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| adam_text | SEMI-MARKOV MODELS AND APPLICATIONS EDITED BY JACQUES JANSSEN UNIVERSITE
LIBRE DE BRUXELLES, BELGIUM AND NIKOLAOS LIMNIOS UNIVERSITE DE
TECHNOLOGIE DE COMPIEGNE, FRANCE KLUWER ACADEMIC PUBLISHERS DORDRECHT /
BOSTON / LONDON CONTENTS CONTRIBUTORS XM PREFACE XIX PART I EXTENSIONS
OF BASIC MODELS 1 THE SOLIDARITY OF MARKOV RENEWAL PROCESSES 3 RONALD
PYKE 1. PROLOGUE 3 2. INTRODUCTION 7 3. PRELIMINARIES 8 4. STAHLE LAWS
AND SOLIDARITY 12 5. A BASIC IDENTITY IHR COMPARING INTER-OCCURRENCE
SUMS 15 6. REMARK 19 2 A GENERALIZATION OF SEMI-MARKOV PROCESSES 23
MARIUS IOSIFESCU 1. INTRODUCTION AND SUMMARY 23 2. DEFINITION AND
BACKWARD EQUATIONS 24 3. THE MINIMAL SOLUTION 25 4. CRITERIA FOR
NON-UNIQUENESS 28 5. ASYMPTOTIC BEHAVIOR 29 6. THE SPECIAL CASE OF
SEMI-MARKOV PROCESSES 30 6.1 THE FORWARD EQUATION 30 6.2 ASYMPTOTIC
BEHAVIOR 31 6.3 OPEN PROBLEMS 32 3 QUASI-STATIONARY PHENOMENA FOR
SEMI-MARKOV PROCESSES 33 MATS GYLLENBERG DMITRII S. SILVESTROV 1.
INTRODUCTION 33 2. EXPONENTIAL ASYMPTOTICS FOR PERTURBED RENEWAL
EQUATION 37 V VI 3. ASYMPTOTICAL EXPANSIONS FOR MOMENTS OF HITTING TIMES
45 4. NONLINEARLY PERTURBED SEMI-MARKOV PROCESSES 52 5. QUASI-STATIONARY
DISTRIBUTIONS FOR PERTURBED SEMI-MARKOV PRO- CESSES 55 4 SEMI-MARKOV
RANDOM WALKS 61 VLADIMIR S. KOROLYUK 1. THE SEMI-MARKOV RANDOM WALK 61
2. A BOUNDARY PROBLEM FOR SMRW 63 3. A SEMI-CONTINUOUS SMRW 64 4.
QUEUEING SYSTEM M G L T 66 5. QUEUEING SYSTEM G M L T 68 6. ASYMPTOTIC
ANALYSIS OF SMRW IN THE SERIES SCHEME 69 7. AVERAGE SCHEME. POSITIVE
DRIFT, P 0 70 8. DIFFUSION APPROXIMATION (ZERO DRIFT, P * 0 ) 71 9.
PROBLEMS OF SINGULAR PERTURBATION IN AVERAGE AND THE DIFFUSION
APPROXIMATION SCHEMES 72 DIFFUSION APPROXIMATION FOR PROCESSES WITH
SEMI-MARKOV SWITCHES 77 VLADIMIR V. ANISIMOV 1. INTRODUCTION 77 2.
SWITCHING STOCHASTIC PROCESSES 78 2.1 PRELIMINARY REMARKS 78 2.2
RECURRENT PROCESSES OF A SEMI-MARKOV TYPE 80 2.3 RECURRENT PROCESS OF A
SEMI-MARKOV TYPE WITH ADDI- TIONAL MARKOV SWITCHES 81 2.4 GENERAL CASE
OF RPSM 81 2.5 PROCESSES WITH SEMI-MARKOV SWITCHES 82 2.6 SWITCHING
PROCESSES 82 2.7 EXAMPLES OF SWITCHING PROCESSES 83 PH WITH SEMI-MARKOV
SWITCHES 83 RANDOM MOVEMENTS WITH SMP SWITCHES 84 DYNAMICAL SYSTEMS IN
SEMI-MARKOV ENVIRONMENT 84 STOCHASTIC DIFFERENTIAL EQUATIONS WITH
SEMI-MARKOV SWITCHES 84 SWITCHING STATE-DEPENDENT QUEUEING MODEIS 85 3.
AVERAGING PRINCIPLE AND DIFFUSION APPROXIMATION FOR RPSM 85 4. PROCESSES
WITH SEMI-MARKOV SWITCHES 90 4.1 ASYMPTOTICALLY MIXING ENVIRONMENT 91
4.2 ASYMPTOTICALLY CONSOLIDATED ENVIRONMENT 93 5. APPLICATIONS 94 5.1
RANDOM MOVEMENTS 94 5.2 SEMI-MARKOV STATE-DEPENDENT QUEUEING MODEIS 96
5.3 MARKOV MODEIS WITH SEMI-MARKOV SWITCHES 97 6 APPROXIMATIONS FOR
SEMI-MARKOV SINGLE ION CHANNEL MODELS 103 SUSAN M. PITTS 1. INTRODUCTION
103 CONTENTS 2. RESULTS 106 2.1 THE FRAMEWORK 106 2.2 THE FUNCTIONALS
107 2.3 DERIVATIVES 110 3. APPROXIMATIONS 112 PART II STATISTICAL
ESTIMATION 7 LOG-LIKELIHOOD IN STOCHASTIC PROCESSES 119 GEORGE G.
ROUSSAS DEBASIS BHATTACHARYA 1. INTRODUCTION 120 2. ASSUMPTIONS 123 2.1
SOME COMMENTS ON THE ASSUMPTIONS 125 3. ASYMPTOTIC EXPANSION AND
ASYMPTOTIC NORMALITY 126 4. SOME AUXILIARY RESULTS 129 5. PROOF OF
THEOREMS 137 APPENDIX 140 SOME ASYMPTOTIC RESULTS AND EXPONENTIAL
APPROXIMATION IN SEMI- 149 MARKOV MODELS GEORGE G. ROUSSAS DEBASIS
BHATTACHARYA 1. INTRODUCTION, NOTATION, AND SOME AUXILIARY RESULTS 150
2. ASSUMPTIONS AND FORMULATION OFMAIN RESULTS 154 3. SOME AUXILIARY
RESULTS ON RANDOM TIMES 158 3.1 ASSUMPTIONS 159 4. PROOF OF MAIN RESULTS
AND SOME CLOSING COMMENTS 161 4.1 SOME CLOSING COMMENTS 164 9 MARKOV
RENEWAL PROCESSES AND EXPONENTIAL FAMILIES 167 VALERI T. STEFANOV 1. 2.
3. 4. 5. INTRODUCTION NONCURVED EXPONENTIAL FAMILIES ASSOCIATED WITH
MARKOV RENEWAL PROCESSES APPLICATION TO LIMIT THEORY CLUSTERS OF POINTS
COMPOSITE EVENTS 167 169 170 172 175 10 ON HOMOGENEITY OF TWO
SEMI-MARKOV SAMPLES 187 LARISA AFANASYEVA PETER RADCHENKO 1.
INTRODUCTION 187 2. THE MODEL 188 3. CALCULATION OFDU 190 4. PROOF OF
THE THEOREM 194 5. THE TEST 198 VLLL 11 PRODUCT-TYPE ESTIMATOR OF
CONVOLUTIONS 201 ILYA GERTSBAKH I. SPUNGIN 1. THE PRODUCT-TYPE ESTIMATOR
OF A CONVOLUTION 201 2. GENERATING AN ESTIMATE OF BK (T) 202 3. CRUDE
MONTE CARLO VS PRODUCT-TYPE ESTIMATOR 203 4. COMPARISON OF THE
PRODUCT-TYPE ESTIMATOR WITH BROWN S ESTI- MATOR 204 5. CONVOLUTIONS IN
SIMULATING THE TIME TO ABSORPTION IN A SEMI- MARKOV PROCESS 204 12
FAILURE RATE ESTIMATION OF SEMI-MARKOV SYSTEMS 207 BRAHIM OUHBI NIKOLAOS
LIMNIOS 1. INTRODUCTION 207 2. PRELIMINAHES 208 3. RELIABILITY AND
FAILURE RATE FUNCTIONS OF A SEMI-MARKOV SYSTEM 210 4. ESTIMATOR OF THE
FAILURE RATE OF A SEMI-MARKOV SYSTEM 211 5. NUMERICAL APPLICATION 217 13
ESTIMATION FOR SEMI-MARKOV MANPOWER MODELS IN A STOCHASTIC
ENVIRONMENT219 SALLY MCCLEAN ERIN MONTGOMERY 219 221 221 221 222 223 225
226 14 SEMI-MARKOV MODELS FOR LIFETIME DATA ANALYSIS 229 RAFAEL
PEREZ-OCON JUAN ELOY RUIZ-CASTRO M. LUZ GDMIZ-PEREZ 1. INTRODUCTION 230
2. THE SEMI-MARKOV MODEL 231 2.1 TRANSITION PROBABILITY FUNCTIONS 231
2.2 MAXIMUM-LIKELIHOOD FUNCTION 232 3. SOME DATA ON SURVIVAL TIMES 233
4. SOME DATA ON FAILURE TIMES 234 PART III NON-HOMOGENEOUS MODELS 15
CONTINUOUS TIME NON HOMOGENEOUS SEMI-MARKOV SYSTEMS 241 ALEKA A.
PAPADOPOULOU PANAGIOTIS CG. VASSILIOU 1. INTRODUCTION 241 1. 2. 3. 4. 5.
INTRODUCTION THE STOCHASTIC ENVIRONMENT ESTIMATION 3.1 ESTIMATION FOR
THE COMPROMISE MATRIX 3.2 ESTIMATION FOR THE S-NHMS 3.3 ESTIMATION FOR
THE S-NHSMS USING THE MODEL CONCLUSION CONTENTS IX 2. THE MODEL 242 3.
LIMITING BEHAVIOR 245 4. ILLUSTRATION: A SPECIAL CASE 247 16 THE
PERTURBED NON-HOMOGENEOUS SEMI-MARKOV SYSTEM 253 PANAGIOTIS C. G.
VASSILIOU HELENA TSAKIRIDOU 1. INTRODUCTION 253 2. THE PERTURBED NON
HOMOGENEOUS SEMI-MARKOV SYSTEM 254 3. THE EXPECTED INTERVAL TRANSITION
PROBABILITIES 259 4. THE EXPECTED POPULATION STRUCTURE 263 PART IV
QUEUEING SYSTEMS THEORY 17 SEMI-MARKOV QUEUES WITH HEAVY TAILS 269 SOREN
ASMUSSEN 1. INTRODUCTION 269 2. SUB-EXPONENTIAL DISTRIBUTIONS. RANDOM
WALK RESULTS 271 3. MARKOV-MODULATED M/G/L QUEUES AND RELATED MODEIS 272
4. STRUCTURED MARKOV CHAINS OF THE M/G/L TYPE 278 18 MR MODELLING OF
POISSON TRAFBC AT INTERSECTIONS HAVING SEPARATE 285 TURN LANES RUDY
GIDEON RONALD PYKE 1. INTRODUCTION 286 2. THE 4-STATE MRP ON SI AND S 2
288 3. AN R-CAR RIGHT TURN LANE AND ERGODICITY 294 4. COMPUTATIONS FOR
AN R-CAR RIGHT TURN LANE 299 5. SPECIAL CASES OFR = 0,1 AND +OO 302 6.
THE GENERAL CASE 308 PART V FINANCIAL MODELS 19 STOCHASTIC STABILITY AND
OPTIMAL CONTROL IN INSURANCE MATHEMATICS 313 ANATOLY SWISHCHUK 1.
INTRODUCTION 313 2. SEMI-MARKOV RISK PROCESSES 314 3. SEMI-MARKOV RISK
PROCESS AS DISCONTINUOUS SEMI-MARKOV RAN- DOM EVOLUTION 315 4. ANALOGUE
OFDYNKIN S FORMULA FOR SEMI-MARKOV RANDOM EVOLU- TIONS 316 5. BOUNDARY
VALUE PROBLEM FOR SEMI-MARKOV RANDOM EVOLUTIONS 316 6. STOCHASTIC
STABILITY OF SEMI-MARKOV RISK PROCESSES 317 7. STOCHASTIC OPTIMAL
CONTROL OF SEMI-MARKOV RISK PROCESSES 320 X 20 OPTION PRICING WITH
SEMI-MARKOV VOLATILITY 325 JACQUES JANSSEN RAIMONDO MANCA ERNESTO VOLPE
1. INTRODUCTION 325 2. THE JMC SEMI-MARKOV MODEL IN STOCHASTIC SSNANCE
326 2.1 THE JMC SEMI-MARKOV MODEL (1995, 1998) 327 2.2 THE EXPLICIT
EXPRESSION OF S(T) 328 3. CALL OPTION PRICING 329 4. STATIONARY OPTION
PRICING FORMULA 331 5. CONCLUSIONS 332 PART VI CONTROLLED PROCESSES &:
MAINTENANCE 21 APPLICATIONS OF SEMI-MARKOV PROCESSES IN RELIABILITY AND
MAINTENANCE 337 MOHAMED ABDEL-HAMEED 1. INTRODUCTION AND SUMMARY 337 2.
BASIC RESULTS 338 3. OPTIMAL REPLACEMENT UNDER THE EXPECTED TOTAL
DISCOUNTED COST CRITERION 345 4. OPTIMAL REPLACEMENT UNDER THE LONG RUN
AVERAGE COST CRITERION. 347 22 CONTROLLED QUEUEING SYSTEMS WITH RECOVERY
FUNCTIONS 349 TADASHI DOHI SHUNJI OSAKI NAOTO KALO 1. INTRODUCTION 350
2. MODEL DESCRIPTION 351 3. RETRY MODEL 354 4. REPAIR MODEL 357 5.
NUMERICAL EXAMPLES AND SOME REMARKS 359 PART VII CHROMATOGRAPHY &: FLUID
MECHANICS 23 CONTINUOUS SEMI-MARKOV MODELS FOR CHROMATOGRAPHY 367 BORIS
P. HARLAMOV 1. INTRODUCTION 367 2. CONTINUOUS SEMI-MARKOV PROCESS 368 3.
SEMI-MARKOV MODEL OF CHROMATOGRAPHY 373 3.1 CHROMATOGRAPHY 373 3.2 MODEL
OF LIQUID COLUMN CHROMATOGRAPHY 375 3.3 SOME MONOTONE SEMI-MARKOV
PROCESSES 378 3.4 PROCESSES OF TRANSFER WITH TERMINAL ABSORPTION 381 3.5
PROCESS OF TRANSFER WITH DIFFUSION 384 24 THE STRESS TENSOR OFTHE CLOSED
SEMI-MARKOV SYSTEM. ENERGY AND 391 ENTROPY CONTENTS XI GEORGE M.
TSAKLIDIS 1. INTRODUCTION 391 2. THE CLOSED CONTINUOUS-TIME SEMI-MARKOV
MODEL 392 3. THE CONTINUUM VIEWPOINT 394 4. THE STRESS TENSOR OF THE
CLOSED CONTINUOUS TIME HSMS 395 5. THE ENERGY EQUATION 397 6. THE
ENTROPY OF THE SYSTEM 397 INDEX 401
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| isbn | 0792359631 |
| language | English |
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| spelling | Semi-Markov models and applications ed. by Jacques Janssen ... Semi Markov models and applications Dordrecht [u.a.] Kluwer 1999 XXI, 404 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Markov, Processus de - Congrès ram Renouvellement, Théorie du - Congrès ram Markov processes -- Congresses Renewal theory -- Congresses (DE-588)1071861417 Konferenzschrift gnd-content Janssen, Jacques 1939- Sonstige oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008833483&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Semi-Markov models and applications Markov, Processus de - Congrès ram Renouvellement, Théorie du - Congrès ram Markov processes -- Congresses Renewal theory -- Congresses |
| subject_GND | (DE-588)1071861417 |
| title | Semi-Markov models and applications |
| title_alt | Semi Markov models and applications |
| title_auth | Semi-Markov models and applications |
| title_exact_search | Semi-Markov models and applications |
| title_full | Semi-Markov models and applications ed. by Jacques Janssen ... |
| title_fullStr | Semi-Markov models and applications ed. by Jacques Janssen ... |
| title_full_unstemmed | Semi-Markov models and applications ed. by Jacques Janssen ... |
| title_short | Semi-Markov models and applications |
| title_sort | semi markov models and applications |
| topic | Markov, Processus de - Congrès ram Renouvellement, Théorie du - Congrès ram Markov processes -- Congresses Renewal theory -- Congresses |
| topic_facet | Markov, Processus de - Congrès Renouvellement, Théorie du - Congrès Markov processes -- Congresses Renewal theory -- Congresses Konferenzschrift |
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