Estimation of length density for parameterized Boolean Segment Process
Result description
The minimum variance unbiased estimators of the length density wasfound for stationary Boolean model of segmentswith parameterized distribution of primary grain with unknownparameters. This estimator require that all segments length areknown. In this note the adapted estimator is introduced which doesnot require such assumption. This estimator is compared withcommonly used estimator.
Keywords
odhad intensityPoissonův procesproces segmentůdélková hustotaBoolean model
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Estimation of length density for parameterized Boolean Segment Process
Original language description
The minimum variance unbiased estimators of the length density wasfound for stationary Boolean model of segmentswith parameterized distribution of primary grain with unknownparameters. This estimator require that all segments length areknown. In this note the adapted estimator is introduced which doesnot require such assumption. This estimator is compared withcommonly used estimator.
Czech name
Odhad délkové hustoty parametrizovaného Booleova modelu segmentů
Czech description
Byl nalezen odhad s nejmenším rozptylem pro délkovou intenzitu stacionárního Booleanova modelu segmentů s parametrickým rozdělením primárního zrna s neznámými parametry. Tento odhad vyžaduje znalost délek všech segmentů. V tomto příspěvku je nalezen adaptovaný odhad, který tuto znalost nevyžaduje.known. In this note the adapted estimator is introduced which doesnot require such assumption. This estimator is compared withcommonly used estimator.
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
GP201/03/D062: Optimisation of characteristics estimators of point processes
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Univ. S. Boh. Dept. Math. Rep. Series
ISSN
1214-4681
e-ISSN
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Volume of the periodical
13
Issue of the periodical within the volume
1
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
4
Pages from-to
115-118
UT code for WoS article
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2005