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ISSN Approved Journal No: 2456-3315 | Impact factor: 8.14 | ESTD Year: 2016
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Impact Factor : 8.14
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| Paper Title: | A Note on Summation of Cardinalities, Belief Functions, Plausibility Functions and Commonality Functions Induced by Probability Mass Function of Discrete Probability Distribution |
| Authors Name: | Kandekar Dnyandeo Namdeo |
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IJRTI_187573
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| Published Paper Id: | IJRTI2307044 |
| Published In: | Volume 8 Issue 7, July-2023 |
| DOI: | |
| Abstract: | For any subset of the discernment frame; the belief function and the plausibility function are lower and upper bounds for the probability function respectively. By replacing the probability function with its lower and upper bound, we get the lower bound and upper bound of statistical quantities such as mean, variance, raw and central moments, coefficient of skewness and coefficient of kurtosis, and so on. Now, it becomes important to study some results about the probability function‘s lower bound (belief function) and upper bound (plausibility function). In this paper, by using the principle of generalization, we have obtained a formula for the summation of cardinalities of all subsets of a given set with cardinality . Also, for any subset of the discernment frame; we have obtained formulas for the summation of the belief functions, the commonality functions, and the plausibility functions when the probability mass function of an underlying discrete probability distribution is given |
| Keywords: | cardinality of a set, Basic probability number, Belief function, Commonality function, plausibility function, probability mass function, probability distribution, etc. |
| Cite Article: | "A Note on Summation of Cardinalities, Belief Functions, Plausibility Functions and Commonality Functions Induced by Probability Mass Function of Discrete Probability Distribution", International Journal of Science & Engineering Development Research (www.ijrti.org), ISSN:2455-2631, Vol.8, Issue 7, page no.278 - 292, July-2023, Available :http://www.ijrti.org/papers/IJRTI2307044.pdf |
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2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016 An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator |
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Published Paper ID: IJRTI2307044
Registration ID:187573
Published In: Volume 8 Issue 7, July-2023
DOI (Digital Object Identifier):
Page No: 278 - 292 Country: Ahmednagar, Maharashtra, India Research Area: Mathematics Publisher : IJ Publication Published Paper URL : https://www.ijrti.org/viewpaperforall?paper=IJRTI2307044 Published Paper PDF: https://www.ijrti.org/papers/IJRTI2307044 |
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ISSN: 2456-3315
Impact Factor: 8.14 and ISSN APPROVED,
Journal Starting Year (ESTD) : 2016
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