Concepedia

Markov Inequality

Markov Inequality is a fundamental theorem in probability theory that provides an upper bound on the probability that a non-negative random variable exceeds a positive multiple of its expected value, expressed as \( P(X \geq a) \leq \frac{\mathbb{E}[X]}{a} \) for \( a > 0 \).

96

Publications

5.5K

Citations

142

Authors

106

Institutions

Publications per year

2017–2026

9

Variants

Markov's Inequality

Parents

Publications

96

An inequality and associated maximization technique in statistical estimation of probabilistic functions of a Markov process

Leonard E. Baum · Medical Entomology and Zoology · 1972 · 1.4K citations

, , +9

An inequality with applications to statistical estimation for probabilistic functions of Markov processes and to a model for ecology

Leonard E. Baum, J. A. Eagon · Bulletin of the American Mathematical Society · 1967 · 1K citations · Full text

, , +14

Concentration inequalities for Markov chains by Marton couplings and spectral methods

Daniel Paulin · Electronic Journal of Probability · 2015 · 202 citations · Full text

, , +14

An Analytical Model for Primary User Emulation Attacks in Cognitive Radio Networks

S. Anand, Z. Jin, K. P. Subbalakshmi · 2008 · 161 citations

, , +14

Error estimates for scattered data interpolation on spheres

Kurt Jetter, Joachim Stöckler, J. D. Ward · Mathematics of Computation · 1999 · 141 citations · Full text

, , +13

1–5 of 96

Authors

142

  1. PD
    Peter Dörfler

    Montanuniversität Leoben, Austria

    5 publications · 122 citations

    5

    h-index

  2. PB
    Peter Borwein

    Simon Fraser University, Canada

    5 publications · 109 citations

    5

    h-index

  3. TE
    Tamás Erdélyi

    Texas A&M University, United States

    5 publications · 110 citations

    5

    h-index

  4. MB
    Mirosław Baran

    Jagiellonian University, Poland

    3 publications · 64 citations

    3

    h-index

  5. AB
    Albrecht Böttcher

    Chemnitz University of Technology, Germany

    3 publications · 55 citations

    3

    h-index

1–5 of 142

Institutions

106

  1. Institute of Mathematics

    Warsaw, Poland

    5 h-index

    7 publications

    289 citations

  2. Jagiellonian University

    Krakow, Poland

    5 h-index

    7 publications

    179 citations

  3. Montanuniversität Leoben

    Leoben, Austria

    5 h-index

    6 publications

    117 citations

  4. University of Toronto

    Toronto, Canada

    4 h-index

    7 publications

    244 citations

  5. Texas A&M University

    College Station, United States

    4 h-index

    4 publications

    187 citations

  6. The Ohio State University

    Columbus, United States

    4 h-index

    4 publications

    115 citations

  7. Simon Fraser University

    Burnaby, Canada

    3 h-index

    5 publications

    152 citations

  8. University of Auckland

    Auckland, New Zealand

    2 h-index

    2 publications

    30 citations

1–8 of 106

Venues

  1. Journal of Approximation Theory

    17 publications · 516 citations

    13

    h-index

  2. Constructive Approximation

    6 publications · 91 citations

    6

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 4 publications · 89 citations

    4

    h-index

  4. Journal of the London Mathematical Society

    3 publications · 75 citations

    3

    h-index

  5. Canadian Journal of Mathematics

    3 publications · 38 citations

    3

    h-index

1–5