dc.contributor.author | Bhat, M.A. | |
dc.contributor.author | Kosuru, G.S.R. | |
dc.date.accessioned | 2022-05-03T19:39:36Z | |
dc.date.available | 2022-05-03T19:39:36Z | |
dc.date.issued | 2022-05-04 | |
dc.identifier.uri | http://localhost:8080/xmlui/handle/123456789/3392 | |
dc.description.abstract | For a real-valued measurable function f and a nonnegative, nondecreasing function φ, we first obtain a Chebyshev type inequality which provides an upper bound for φ(λ1)μ({x ∈ Ω : f (x) ≥ λ1}) + n ∑ k=2 (φ(λk) − φ(λk−1)) μ({x ∈ Ω : f (x) ≥ λk}), where 0 < λ1 < λ2 < · · · < λn < ∞. Using this, generalizations of a few concentration inequalities such as Markov, reverse Markov, Bienaymé–Chebyshev, Cantelli and Hoeffding inequalities are obtained. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Markov’s inequality | en_US |
dc.subject | Chebyshev’s inequality | en_US |
dc.subject | Cantelli’s inequality | en_US |
dc.subject | Hoeffding’s inequality | en_US |
dc.title | Statistics and Probability Letters | en_US |
dc.type | Article | en_US |