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Mazloum Panjehkeh, S., Sanei tabass, Manije, Mohtashami Borzadaran, G. R., Amini, Mohammad. (1402). A view on weighted exponential entropy and examining some of its features. , 13(1), 391-402. doi: 10.22103/jmmr.2023.20509.1361
S. Mazloum Panjehkeh; Manije Sanei tabass; G. R. Mohtashami Borzadaran; Mohammad Amini. "A view on weighted exponential entropy and examining some of its features". , 13, 1, 1402, 391-402. doi: 10.22103/jmmr.2023.20509.1361
Mazloum Panjehkeh, S., Sanei tabass, Manije, Mohtashami Borzadaran, G. R., Amini, Mohammad. (1402). 'A view on weighted exponential entropy and examining some of its features', , 13(1), pp. 391-402. doi: 10.22103/jmmr.2023.20509.1361
Mazloum Panjehkeh, S., Sanei tabass, Manije, Mohtashami Borzadaran, G. R., Amini, Mohammad. A view on weighted exponential entropy and examining some of its features. , 1402; 13(1): 391-402. doi: 10.22103/jmmr.2023.20509.1361

A view on weighted exponential entropy and examining some of its features

Journal of Mahani Mathematical Research
دوره 13، شماره 1 - شماره پیاپی 26، بهمن 2023، صفحه 391-402    اصل مقاله (339.7 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22103/jmmr.2023.20509.1361
نویسندگان
S. Mazloum Panjehkeh1؛ Manije Sanei tabass2؛ G. R. Mohtashami Borzadaran* 1؛ Mohammad Amini1
1Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran
2Department of Statistics, University of Sistan and Baluchestan, Zahedan, Iran
چکیده
One of the alternative versions of Shannon entropy is a measure of information which is called exponential entropy. Shannon and exponential entropies depend only on the event probabilities. These measures have also been extended to incorporate a set of weights associated with the events. Such weights may reflect some additional characteristics of the events such as their relative importance. In this paper, Axiomatic derivations and properties of weighted exponential entropy parallel to those achieved for weighted entropy are investigated. The relation between weighted exponential entropy of  X and a strictly monotone and nonnegative function of X has obtained. The generalized weighted entropy and the generalized weighted exponential entropy for continuous random variable have been presented.
کلیدواژه‌ها
Shannon entropy؛ Exponential entropy؛ Weighted entropy؛ Weighted exponential entropy
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