# What is a deterministic variable

## Deterministic variable in stochastics

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DeterministicvariableintheStochastics

The Stochastics strictly distinguishes between what is and what isin

i.e. between the completed operations and those not yet completed

Operations. Everything that is closed becomes a fact.

Given quantification, all facts consist of numbers that are definite

Sizes assigned sind.

Accordingly, eine deterministisch variable eine quantified quantity,

theen value is fixed, i.e. determinis ized.

E.ine deterministic variable is determined by

1. ein Symbol,

2. eine meaning,

3. their current value.

In generalinen is the Current Valuesinhe deterministischen variablen unknown.

All we know about him is that he does not accept certain values

can that one therefore inthe can exclude the given situation. All values,

who cannot be excluded in this way come for the

unknown current value in Consideration. Describes the set of these values

the extent the Ignorance (ignorance) about the current value and will

therefore called the ignorance room.

All problems related to deterministischen variablen relate

focus on the determinized but unknown current value the deterministischen

variablen. Methods for solving these problems form the class

the Measurement method.

In connection with the Bernoulli space there is the deterministic variable

from the for einen inprocess of interest relevant variables of the initial state.

The representation of these quantities and their values ​​see pind of course

keinesweg einclear. Through every reversible transformation einhe deterministischen

variablen one obtains eine atthee equivalent representation the relevant

deterministischen variablen.

Depending on the importance the deterministic variablen one differentiates

different representations:

• Situation-related representation:

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In this case the deterministic variable from sizes like

Temperature, speedinfitness, weight, etc. that directly give the given

Describe the situation.

• Moment-related representation:

In this case the deterministic variable from the moments

the associated random variablen X.

• Distribution-related representation:

At the distribution-related representation consists of the deterministic

variable from distribution parameters.

Any representation the deterministischen variablen can einclear in eine the

attheen representations can be transformed. Each the Describes representations

the same, namely the one for the inrelevant part of the process of interest the

determinied past.

Version: 1.00

Copyright c ○ by Stochastik on GmbH (http://encyclopedia.stochastikon.com) 1 Determ in istische variable in the stochastics The stochastics strictly differentiate between what is and what it in is, that is, between the completed tasks and the not yet completed tasks. Everything that is closed becomes a fact. Assuming quantification, all facts consist of numbers assigned to certain sizes s in d. Accordingly, e in e determ in istic variable e in e quantified quantity, the the value is fixed, ie determin in iert. E in e determ in istic variable is determined by 1. e in symbol, 2. e in e meaning, 3. their current value. In general in en is the current value e in he determ in istic variable n unknown. All you know about him is that he cannot assume certain values, which can therefore be excluded in the given situation. All values ​​that cannot be excluded in this way are considered for the unknown current value in . The set of these values ​​describes the extent of the ignorance (ignorance) about the current value and is therefore called the ignorance space. All problems related to determ in istic variables n relate to the determ in ized but unknown current value of determ in istic variables n. Methods for solving these problems form the class of measurement methods. In connection with the Bernoulli space, the determ in istic variable consists of the processes relevant to e in en in Sizes of the initial state. The representation of these quantities and their values ​​is in d of course ke in esweg e in . Through every reversible transformation e in he determ in istic variable n one gets e in e an the e equivalent representation of the relevant determ in istic variables n. Depending on the the meaning the determ in istic variable n, a distinction is made between different representations: • Situation-related representation:

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