Core Function and Parametric Inference
Result description
We introduce classes of regular statistical families, called Johnson families, and show that they contain a lot of important statistical models. The system of Johnson parametric families with unified meaning of parameters is based on the formerly introduced concept of a core function distribution. The Johnson families have a new parameter called Johnson location, which can be treated as a 'centre of the mass' of the distribution. Random samples taken from them can be properly characterized by the estimates of the Johnson location.
Keywords
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
Core Function and Parametric Inference
Original language description
We introduce classes of regular statistical families, called Johnson families, and show that they contain a lot of important statistical models. The system of Johnson parametric families with unified meaning of parameters is based on the formerly introduced concept of a core function distribution. The Johnson families have a new parameter called Johnson location, which can be treated as a 'centre of the mass' of the distribution. Random samples taken from them can be properly characterized by the estimates of the Johnson location.
Czech name
Core funkce a parametrická inference
Czech description
V práci jsou zavedeny třídy Johnsonových rodin pravděpodobnostních rozdělení. Jejich podmnožinou je řada důležitých statistických modelů. Systém Johnsonových parametrických rodin s jednotným významem parametrů je založen na vlastnostech core funkcí rozdělení. Johnsonovy rodiny mají parametr zvaný Johnsonovo těžiště a výběry z rozdělení lze charakterizovat pomocí odhadů tohoto parametru.
Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
IAA1075403: New results in testing the goodness-of-fit based in Pearson-type statistics
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Computational Statistics
ISBN
3-7908-1554-3
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
1005-1012
Publisher name
Physica Verlag
Place of publication
Heidelberg
Event location
Prague
Event date
Aug 23, 2004
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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Basic information
Result type
D - Article in proceedings
CEP
BA - General mathematics
Year of implementation
2004