On diagnostic devices for proposing half-logistic and inverse half-logistic models using generalized (k) record values

In this work we consider the generalized upper (k) record values (GURV's) and generalized lower (k) record values (GLRV's) arising from half-logistic distribution (HLD) and inverse half-logistic distribution (IHLD). We derive some characterization results of HLD based on some moment relati...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2019-03, Vol.48 (5), p.1073-1091
Main Authors: Thomas, P. Yageen, Paul, Jerin
Format: Article
Language:English
Subjects:
Characterizations
Diagnostic methods
Generalized lower (k) record values
Generalized upper (k) record values
Half-logistic distribution
Inverse half-logistic distribution
Recurrence relations
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Summary:In this work we consider the generalized upper (k) record values (GURV's) and generalized lower (k) record values (GLRV's) arising from half-logistic distribution (HLD) and inverse half-logistic distribution (IHLD). We derive some characterization results of HLD based on some moment relations of generalized upper (k) record values and those of generalized lower (k) record values and accordingly devised some diagnostic tools to identify HLD as a model to the distribution of a population. Similar characterization theorems and diagnostic tools are developed for IHLD as well. Simulation studies are conducted to validate the diagnostic tools devised for both HLD and IHLD.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2018.1423697