Properties of Shannon Entropy for Double Truncated Random Variables and its Applications

Doubly truncated data are sometimes encountered in several applications, mainly in survival and astronomical data analysis. This occurs when the data falls between two points. In this study, we focus on the Shannon entropy measure of doubly truncated random variables. We propose ordering and various...

وصف كامل

التفاصيل البيبلوغرافية
الحاوية / القاعدة:Journal of Statistical Theory and Applications (JSTA)
المؤلفون الرئيسيون: Rajesh Moharana, Suchandan Kayal
التنسيق: مقال
اللغة:الإنجليزية
منشور في: Springer 2020-06-01
الموضوعات:
Shannon entropy
Generalized failure rate function
Generalized conditional mean
Stochastic ordering
Doubly truncated entropy ordering
Aging classes
الوصول للمادة أونلاين:https://www.atlantis-press.com/article/125941168/view
الوصف
الملخص:Doubly truncated data are sometimes encountered in several applications, mainly in survival and astronomical data analysis. This occurs when the data falls between two points. In this study, we focus on the Shannon entropy measure of doubly truncated random variables. We propose ordering and various aging properties based on this measure. Characterizations of some useful life distributions are obtained. It is showed that under certain condition, the proposed measure determines the distribution function uniquely. Some results on discrete distributions are presented. Finally, applications are given.
تدمد:2214-1766

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