TY - JOUR T1 - Quantile Based Tsallis Residual Entropy and its Divergence Measure TT - آنتروپی مانده تسالیس و اندازه واگرایی آن مبتنی بر تابع چندک JF - JSS JO - JSS VL - 12 IS - 2 UR - http://jss.irstat.ir/article-1-510-en.html Y1 - 2019 SP - 295 EP - 321 KW - Residual Tsallis entropy KW - Shannon entropy KW - Tsallis divergence KW - Residual lifetime KW - Quantile function KW - Stochastic orders KW - Characterization. N2 - Entropy plays a fundamental role in reliability and system lifetesting areas. In the recent studies, much attentions have been paid to use quantile functions properties and their applications as an alternate approac in distinguishing statistical models and analysis of data. In the present paper, quantile based residual Tsallis entropy is introduced and its properties in continuous models are investigated. Considering distributions of certain lifetime, explicit versions for quantile based residual Tsallis entropy are obtained and their properties monotonicity are studied and characterization based on this entropy is investigated. Also quantile based Tsallis divergence is introduced and quantile based residual Tsallis divergence is obtained. Finally, an estimator for the quantile based residual Tsallis entropy is introduced and its performance is investigate by study simulation. M3 10.29252/jss.12.2.295 ER -