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A refinement of the integral form of Jensen’s inequality

✍ Scribed by László Horváth


Book ID
120733740
Publisher
Hindawi Publishing Corporation
Year
2012
Tongue
English
Weight
238 KB
Volume
2012
Category
Article
ISSN
1025-5834

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On Some Refinements of Jensen's Inequali
✍ Mohammad Kazim Khan; Muhammad Hanif 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 268 KB

This paper contains a link between Probability Proportional to Size (PPS) sampling and interpolations of the classical Jensen inequality. We show that these interpolating inequalities are, in fact, special cases of the conditional Jensen inequality when applied over an appropriate probability space.