skip to content
Stochastic processes and applications in biology and medicine. / I, Theory Preview this item
ClosePreview this item
Checking...

Stochastic processes and applications in biology and medicine. / I, Theory

Author: Marius Iosifescu; Petre Tautu
Publisher: Bucureşti : Editura Academiei ; Berlin ; Heidelberg ; New York : Springer, 1973.
Series: Biomathematics (Berlin), 3.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Document Type: Book
All Authors / Contributors: Marius Iosifescu; Petre Tautu
ISBN: 038706270X 9780387062709 354006270X 9783540062707
OCLC Number: 489894203
Description: 1 vol. (331 p.) ; 24 cm.
Contents: 1 Discrete parameter stochastic processes.- 1.1. Denumerable Markov chains.- 1.1.1. Preliminaries.- 1.1.1.1. Definition of a Markov chain.- 1.1.1.2. The existence theorem.- 1.1.1.3. The n-step transition probabilities.- 1.1.1.4. Strong Markov property.- 1.1.2. Classification of states.- 1.1.2.1. Return states and recurrent states.- 1.1.2.2. Regenerative phenomena.- 1.1.2.3. Positive states and limit theorems.- 1.1.2.4. Geometric ergodicity.- 1.1.2.5. Essential states and classes of states.- 1.1.2.6. Conditional motion.- 1.1.3. Taboo and stationarity.- 1.1.3.1. Taboo transition probabilities.- 1.1.3.2. Ratio limit theorems.- 1.1.3.3. Stationary distributions.- 1.1.3.4. Stationary measures.- 1.1.3.5. Integral representations.- 1.1.4. Finite state Markov chains.- 1.1.4.1. Specific properties.- 1.1.4.2. The matrix method.- 1.1.4.3. The Ehrenfest model.- 1.2. Noteworthy classes of denumerable Markov chains.- 1.2.1. Random walk.- 1.2.1.1. Homogeneous random walk.- 1.2.1.2. Some important special cases.- 1.2.1.3. Barriers.- 1.2.1.4. Generalizations.- 1.2.1.5. Integral representations for certain nonhomogeneous random walks.- 1.2.2. Galton-Watson chains.- 1.2.2.1. Basic properties.- 1.2.2.2. Extinction probability.- 1.2.2.3. Time to extinction.- 1.2.2.4. Stationary distributions and stationary measures.- 1.2.2.5. Spectral theory of Galton-Watson chains.- 1.2.2.6. Asymptotic properties.- 1.2.2.7. Multitype Galton-Watson chains.- 1.2.3. Markov chains occurring in queueing theory.- 1.2.3.1. Preliminaries.- 1.2.3.2. Queueing systems.- 1.2.3.3. An imbedded Markov chain in the M/G/1 queue.- 1.2.3.4. An imbedded Markov chain in the GI/M/1 queue.- 1.3. Markov chains with arbitrary state space.- 1.3.1. Preliminaries.- 1.3.1.1. Definition and existence theorem.- 1.3.1.2. Generalized n-step transition functions.- 1.3.2. Uniform ergodicity.- 1.3.2.1. Uniform strong ergodicity.- 1.3.2.2. Uniform weak ergodicity.- 1.3.3. The coefficient of ergodicity.- 1.3.3.1. Definition and properties.- 1.3.3.2. Application to uniform ergodicity.- 1.3.3.3. Some limit theorems.- 1.3.4. Compact Markov chains.- 1.3.4.1. Definition and properties.- 1.3.4.2. Random systems with complete connections.- References.- 2 Continuous parameter stochastic processes.- 2.1. Some general problems.- 2.1.1. Preliminaries.- 2.1.1.1. Definition of a stochastic process.- 2.1.1.2. Finite dimensional distributions.- 2.1.2. Basic concepts.- 2.1.2.1. Separability.- 2.1.2.2. Stochastic continuity and measurability.- 2.1.3. Trajectories.- 2.1.3.1. Generalities.- 2.1.3.2. Continuous trajectories.- 2.1.3.3. Trajectories without discontinuities of the second kind.- 2.1.4. Convergence of stochastic processes.- 2.1.4.1. Weak convergence of processes.- 2.1.4.2. The Prohorov theorem.- 2.2. Processes with independent increments.- 2.2.1. Preliminaries.- 2.2.1.1. Definition and existence theorem.- 2.2.1.2. Stochastic continuity.- 2.2.2. Basic processes with independent increments.- 2.2.2.1. The Poisson process.- 2.2.2.2. The Wiener process.- 2.2.2.3. Brownian motion.- 2.2.3. General properties.- 2.2.3.1. Integral decomposition.- 2.2.3.2. The three parts decomposition.- 2.3. Markov processes.- 2.3.1. Preliminaries.- 2.3.1.1. Transition functions.- 2.3.1.2. Definition and existence theorem.- 2.3.1.3. The strong Markov property.- 2.3.1.4. The semi-group approach to homogeneous Markov processes.- 2.3.2. Markov jump processes. I. General theory.- 2.3.2.1. Transition intensity functions.- 2.3.2.2. The Kolmogorov-Feller equations.- 2.3.2.3. Determining a transition function from its intensity.- 2.3.2.4. The minimal process.- 2.3.3. Markov jump processes. II. Discrete state space.- 2.3.3.1. The case of a finite state space.- 2.3.3.2. The case of a denumerable state space.- 2.3.3.3. Poisson processes as Markov jump processes.- 2.3.3.4. Markov branching processes.- 2.3.4. Homogeneous Markov jump processes with discrete state space.- 2.3.4.1. Preliminaries.- 2.3.4.2. Continuity and differentiability properties.- 2.3.4.3. The Kolmogorov differential equations.- 2.3.4.4. Continuous parameter regenerative phenomena.- 2.3.4.5. Properties of trajectories.- 2.3.4.6. Discrete skeletons and classification of states.- 2.3.4.7. Birth-and-death processes.- 2.3.5. Markov diffusion processes.- 2.3.5.1. Classical diffusion processes.- 2.3.5.2. The Kolmogorov equations.- 2.3.5.3. Approximations.- 2.3.5.4. Boundaries.- 2.3.5.5. Brownian motion as diffusion process.- 2.3.6. Extensions of Markov processes.- 2.3.6.1. Semi-Markov processes.- 2.3.6.2. Renewal processes.- References.- Notation index.- Author index.
Series Title: Biomathematics (Berlin), 3.
Responsibility: M. Iosifescu, P. Tăutu, ...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/489894203> # Stochastic processes and applications in biology and medicine. I, Theory
    a schema:Book, schema:CreativeWork ;
    library:oclcnum "489894203" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/rm> ;
    library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/189987207#Place/bucuresti> ; # Bucureşti
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/189987207#Place/heidelberg> ; # Heidelberg
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/189987207#Place/berlin> ; # Berlin
    schema:about <http://experiment.worldcat.org/entity/work/data/189987207#Topic/biologie> ; # biologie
    schema:about <http://experiment.worldcat.org/entity/work/data/189987207#Topic/probability> ; # Probability
    schema:about <http://experiment.worldcat.org/entity/work/data/189987207#Topic/processus_stochastique> ; # processus stochastique
    schema:about <http://experiment.worldcat.org/entity/work/data/189987207#Topic/statistique> ; # statistique
    schema:about <http://experiment.worldcat.org/entity/work/data/189987207#Topic/biometrie> ; # Biométrie
    schema:about <http://experiment.worldcat.org/entity/work/data/189987207#Topic/medical_statistics> ; # Medical statistics
    schema:about <http://experiment.worldcat.org/entity/work/data/189987207#Topic/statistiques_medicales> ; # Statistiques médicales
    schema:about <http://dewey.info/class/519/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/189987207#Topic/statistics> ; # Statistics
    schema:about <http://experiment.worldcat.org/entity/work/data/189987207#Topic/processus_stochastiques> ; # Processus stochastiques
    schema:about <http://experiment.worldcat.org/entity/work/data/189987207#Topic/medecine> ; # médecine
    schema:about <http://dewey.info/class/574.015192/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/189987207#Topic/biometry> ; # Biometry
    schema:about <http://experiment.worldcat.org/entity/work/data/189987207#Topic/stochastic_processes> ; # Stochastic processes
    schema:about <http://experiment.worldcat.org/entity/work/data/189987207#Topic/chaine_markov> ; # chaîne Markov
    schema:about <http://experiment.worldcat.org/entity/work/data/189987207#Topic/processus_markov> ; # processus Markov
    schema:bookFormat bgn:PrintBook ;
    schema:contributor <http://experiment.worldcat.org/entity/work/data/189987207#Person/tautu_petre> ; # Petre Tautu
    schema:creator <http://experiment.worldcat.org/entity/work/data/189987207#Person/iosifescu_marius> ; # Marius Iosifescu
    schema:datePublished "1973" ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/189987207> ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/189987207#Series/biomathematics> ; # Biomathematics ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/189987207#Series/biomathematics_berlin> ; # Biomathematics (Berlin) ;
    schema:name "Stochastic processes and applications in biology and medicine. I, Theory" ;
    schema:productID "489894203" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/489894203#PublicationEvent/bucuresti_editura_academiei_berlin_heidelberg_new_york_springer_1973> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/189987207#Agent/springer> ; # Springer
    schema:publisher <http://experiment.worldcat.org/entity/work/data/189987207#Agent/editura_academiei> ; # Editura Academiei
    schema:workExample <http://worldcat.org/isbn/9780387062709> ;
    schema:workExample <http://worldcat.org/isbn/9783540062707> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/489894203> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
    schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/189987207#Agent/editura_academiei> # Editura Academiei
    a bgn:Agent ;
    schema:name "Editura Academiei" ;
    .

<http://experiment.worldcat.org/entity/work/data/189987207#Person/iosifescu_marius> # Marius Iosifescu
    a schema:Person ;
    schema:familyName "Iosifescu" ;
    schema:givenName "Marius" ;
    schema:name "Marius Iosifescu" ;
    .

<http://experiment.worldcat.org/entity/work/data/189987207#Person/tautu_petre> # Petre Tautu
    a schema:Person ;
    schema:familyName "Tautu" ;
    schema:givenName "Petre" ;
    schema:name "Petre Tautu" ;
    .

<http://experiment.worldcat.org/entity/work/data/189987207#Series/biomathematics> # Biomathematics ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/489894203> ; # Stochastic processes and applications in biology and medicine. I, Theory
    schema:name "Biomathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/189987207#Series/biomathematics_berlin> # Biomathematics (Berlin) ;
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/489894203> ; # Stochastic processes and applications in biology and medicine. I, Theory
    schema:name "Biomathematics (Berlin) ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/189987207#Topic/medical_statistics> # Medical statistics
    a schema:Intangible ;
    schema:name "Medical statistics" ;
    .

<http://experiment.worldcat.org/entity/work/data/189987207#Topic/processus_markov> # processus Markov
    a schema:Intangible ;
    schema:name "processus Markov" ;
    .

<http://experiment.worldcat.org/entity/work/data/189987207#Topic/processus_stochastique> # processus stochastique
    a schema:Intangible ;
    schema:name "processus stochastique" ;
    .

<http://experiment.worldcat.org/entity/work/data/189987207#Topic/processus_stochastiques> # Processus stochastiques
    a schema:Intangible ;
    schema:name "Processus stochastiques" ;
    .

<http://experiment.worldcat.org/entity/work/data/189987207#Topic/statistiques_medicales> # Statistiques médicales
    a schema:Intangible ;
    schema:name "Statistiques médicales" ;
    .

<http://experiment.worldcat.org/entity/work/data/189987207#Topic/stochastic_processes> # Stochastic processes
    a schema:Intangible ;
    schema:name "Stochastic processes" ;
    .

<http://worldcat.org/isbn/9780387062709>
    a schema:ProductModel ;
    schema:isbn "038706270X" ;
    schema:isbn "9780387062709" ;
    .

<http://worldcat.org/isbn/9783540062707>
    a schema:ProductModel ;
    schema:isbn "354006270X" ;
    schema:isbn "9783540062707" ;
    .

<http://www.worldcat.org/title/-/oclc/489894203#PublicationEvent/bucuresti_editura_academiei_berlin_heidelberg_new_york_springer_1973>
    a schema:PublicationEvent ;
    schema:location <http://dbpedia.org/resource/New_York_City> ; # New York
    schema:location <http://experiment.worldcat.org/entity/work/data/189987207#Place/heidelberg> ; # Heidelberg
    schema:location <http://experiment.worldcat.org/entity/work/data/189987207#Place/berlin> ; # Berlin
    schema:location <http://experiment.worldcat.org/entity/work/data/189987207#Place/bucuresti> ; # Bucureşti
    schema:organizer <http://experiment.worldcat.org/entity/work/data/189987207#Agent/springer> ; # Springer
    schema:organizer <http://experiment.worldcat.org/entity/work/data/189987207#Agent/editura_academiei> ; # Editura Academiei
    schema:startDate "1973" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.