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On the refinements of the integral Jensen-Steffensen inequality

✍ Scribed by Sadia Khalid, Josip Pečarić

Book ID
120732670
Publisher
Hindawi Publishing Corporation
Year
2013
Tongue
English
Weight
347 KB
Volume
2013
Category
Article
ISSN
1025-5834

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On Some Refinements of Jensen's Inequali
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✍ 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.