dc.contributor.author | Bhat, M.A. | |
dc.contributor.author | Kosuru, G.S.R. | |
dc.date.accessioned | 2022-06-02T13:35:02Z | |
dc.date.available | 2022-06-02T13:35:02Z | |
dc.date.issued | 2022-06-02 | |
dc.identifier.uri | http://localhost:8080/xmlui/handle/123456789/3476 | |
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})+∑k=2nϕ(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 | Cantelli's inequality | en_US |
dc.subject | Chebyshev's inequality | en_US |
dc.subject | Hoeffding's inequality | en_US |
dc.subject | Markov's inequality | en_US |
dc.title | Generalizations of some concentration inequalities | en_US |
dc.type | Article | en_US |