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PureMathematics
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,2023,13(3),533-540
PublishedOnlineMarch2023inHans.https://www.hanspub.org/journal/pm
https://doi.org/10.12677/pm.2023.133057
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Cox-CzannerDivergenceof
aDoublyTruncatedRandom
Variable
SuyuanZhao
CollegeofMathematicsandStatistics,NorthwestNormalUniversity,LanzhouGansu
Received:Feb.16
th
,2023;accepted:Mar.16
th
,2023;published:Mar.27
th
,2023
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[J].
n
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,2023,13(3):533-540.
DOI:10.12677/pm.2023.133057
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Abstract
CoxandCzanner(2016)putforwardtheconceptofsurvivaldivergenceandstudied
thesurvivaldivergenceofsomedistributions.Asageneralizationof
KL
divergence,
survivaldivergencehasbeenwidelyusedinstatistics,ecologyandotherfields.This
paperproposesthedistributiondifferenceofCox-Czannerdivergenceunderdouble-
truncated random variables, studies the boundedness and monotonicity of the survival
divergenceofdouble-truncatedrandomvariablesbymeansofgeneralizedfailurerate
method,anddiscussestheinfluenceofmonotonictransformationonthesurvivaldi-
vergence.Finally,thesurvivaldivergenceofdoubletruncatedrandomvariablesis
appliedtotheproportionaldominancemodelbythetransformationofdistribution.
Keywords
Cox-CzannerDivergence,GeneralizedFailureRate,Characteristic,Proportional
OddModel
Copyright
c
2023byauthor(s)andHansPublishersInc.
This work is licensed undertheCreative Commons Attribution International License (CCBY 4.0).
http://creativecommons.org/licenses/by/4.0/
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DOI:10.12677/pm.2023.133057535
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DOI:10.12677/pm.2023.133057536
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DOI:10.12677/pm.2023.133057540
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