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:: Volume 15, Issue 2 (3-2019) ::
JSRI 2019, 15(2): 317-333 Back to browse issues page
A Quantile Approach to the Interval Shannon Entropy
Mohammad Khorashadizadeh
University of Birjand , m.khorashadizadeh@birjand.ac.ir
Abstract:   (1881 Views)
In this paper, we introduce and study quantile version of the Shannon entropy function via doubly truncated (interval) lifetime, which includes the residual and past lifetimes as special case. We aim to study the use of proposed measure in characterization of distribution functions. Further, we describe a stochastic order and a weighted distribution based on this entropy and show their properties. Finally, some results have been obtained for some distributions such as Uniform, Exponential, Pareto I, Power function and Govindarajulu. Also by analysing a real data the subject has been illustrated. 
Keywords: Shannon entropy, quantile function, generalized failure rate, quantile doubly truncated Shannon entropy.
Full-Text [PDF 592 kb]   (1462 Downloads)    
Type of Study: Research | Subject: General
Received: 2018/10/31 | Accepted: 2019/12/8 | Published: 2019/12/12
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Khorashadizadeh M. A Quantile Approach to the Interval Shannon Entropy. JSRI 2019; 15 (2) :317-333
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Volume 15, Issue 2 (3-2019) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران Journal of Statistical Research of Iran JSRI
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