Modeling Markovian biological systems via optimization operators

Teodorescu, Dan

doi:10.1007/bf00337141

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1981

1984

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Cited by 2 publications

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“…für den zweiten Schritt und allgemein Die v-Distanz [18] spielt in der vorgeschlagenen Modellierungsmethode eine Hauptrolle. Einfach ausgedrückt ist darüber eine Zielfunktion für einen gegebenen Schritt k zu verstehen:…”

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Dynamisches Lebensdauermodell Teil 2. Optimierungsoperator / Dynamic life-time model Part 2. Optimization operator

Teodorescu¹

1981

tm - Technisches Messen

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“…Die Tatsache, daß die v-Distanz zu Null wird, stellt keinen Sonderfall dar. Es läßt sich beweisen [18], [19], daß der einfache Optimator Ο für jedes Vektorenpaar p kl , p k Matrizen mit v 0 = 0 generiert. Ein Optimator mit dieser Eigenschaft wird als allgemein bezeichnet.…”

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Dynamisches Lebensdauermodell Teil 2. Optimierungsoperator / Dynamic life-time model Part 2. Optimization operator

Teodorescu¹

1981

tm - Technisches Messen

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Autoregressive time series analysis via representatives

Teodorescu¹,

Teodorescu²

1984

Biol. Cybern.

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In any realization of an autoregressive time series there exist a few observations having a noticeable feature: they express the useful properties of the time series and, therefore, they represent the entire process. Such representative observations (or, simply, representatives) can be determined by an optimization procedure, provided that the absolute value criterion is used instead of the customary least squares. To achieve this, a special kind of optimization operator (optimator) which generate the parameters of the time series is considered. The concepts of strong and weak similarity of the time series are defined in terms of the representatives and sufficient conditions for both strong and weak similarity are derived. It is shown that there exists a subclass of strongly similar processes, say X such that ordinary addition is a binary operation in X. An analogous result is shown to hold for weakly similar autoregressive processes. Some examples illustrating these results are given.

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Modeling Markovian biological systems via optimization operators

Cited by 2 publications

References 19 publications

Dynamisches Lebensdauermodell Teil 2. Optimierungsoperator / Dynamic life-time model Part 2. Optimization operator

Dynamisches Lebensdauermodell Teil 2. Optimierungsoperator / Dynamic life-time model Part 2. Optimization operator

Autoregressive time series analysis via representatives

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