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

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  • P. Yageen Thomas
  • Jerin Paul

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.

Suggested Citation

  • P. Yageen Thomas & Jerin Paul, 2019. "On diagnostic devices for proposing half-logistic and inverse half-logistic models using generalized (k) record values," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(5), pages 1073-1091, March.
    • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:5:p:1073-1091
    DOI: 10.1080/03610926.2018.1423697
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    Cited by:

    1. M. J. S. Khan & Farhan Ansari & Qazi J. Azhad & Naresh Chandra Kabdwal, 2024. "Moments and inferences of inverted topp-leone distribution based on record values," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(6), pages 2623-2633, June.

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