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

P. Yageen Thomas, Jerin Paul

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalCommunications in Statistics - Theory and Methods
DOIs
Publication statusAccepted/In press - 22-01-2017

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Logistics/distribution
Record Values
Logistic Model
Logistics
Diagnostics
Characterization Theorem
Simulation Study
Moment

All Science Journal Classification (ASJC) codes

  • Statistics and Probability

Cite this

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On diagnostic devices for proposing half-logistic and inverse half-logistic models using generalized (k) record values. / Thomas, P. Yageen; Paul, Jerin.

In: Communications in Statistics - Theory and Methods, 22.01.2017, p. 1-19.

Research output: Contribution to journalArticle

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