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Deterministic approximations of probability inequalities

https://doi.org/10.1007/bf01423332
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24/24 checkable references clean · checked 2026-08-10

Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.

9 without a DOI — not checked. A reference deposited without a DOI is never matched by title or guessed at; it stays outside the checked set, and this line discloses that.

The 24 checked references that resolve
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On Deviations of the Sample Mean
resolves10.1080/01621459.1962.10482149
Probability Inequalities for the Sum of Independent Random Variables
resolves10.1007/978-1-4757-4286-2
Statistical Decision Theory and Bayesian Analysis
resolves10.1214/aoms/1177729330
A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
resolves10.1090/S0002-9939-1967-0211424-0
An inequality for probabilities
resolves10.1080/17442508708833436
The minimax approach to stochastic programming and an illustrative application
resolves10.1214/aop/1176995765
Bonferroni Inequalities
resolves10.1080/01621459.1955.10501978
On Generalizations of Tchebychef's Inequality
resolves10.1080/01621459.1963.10500830
Probability Inequalities for Sums of Bounded Random Variables
resolves10.1287/opre.25.2.315
Bounds on the Expectation of a Convex Function of a Random Variable: With Applications to Stochastic Programming
resolves10.1080/02331938208842805
Solving Stochastic Programming Problems with Recourse Including Error Bounds
resolves10.1007/978-3-642-51697-9
Duality in Stochastic Linear and Dynamic Programming
resolves10.1080/01621459.1975.10479893
Most Stringent Bounds on Aggregated Probabilities of Partially Specified Dependent Probability Systems
resolves10.1016/0377-2217(86)90087-1
Multi-criteria decision analysis as an aid to the strategic planning of Energy R&D
resolves10.1287/mnsc.6.2.197
Inequalities for Stochastic Linear Programming Problems
resolves10.2307/3213951
A note on the background of several Bonferroni–Galambos-type inequalities
resolves10.1007/BF02883985
Some inequalities relating to the partial sum of binomial probabilities
resolves10.1137/0145036
Probability Bounds on the Sum of Independent Nonidentically Distributed Binomial Random Variables
resolves10.2307/3213968
A sharp upper probability bound for the occurrence of at least <i>m</i> out of <i>n</i> events
resolves10.1007/BF02576496
A modified Bernstein-technique for estimating noise-perturbed function values
resolves10.1137/1104017
An Extremal Problem in Probability Theory
resolves10.2307/3213226
Inequalities for the probability of the occurrence of at least <i>m</i> out of <i>n</i> events
resolves10.1080/05695557508974985
On A Stochastic Multi-Facility Location Problem
resolves10.1007/978-3-642-68874-4_22
Stochastic Programming: Solution Techniques and Approximation Schemes
The 9 references without a DOI — listed, not checked
no DOI — not checkedDempster MAH (1980) Introduction to stochastic programming. In: Dempster MAH (ed) Stochastic programming. Academic Press, London, pp 3?59
no DOI — not checkedDupacova J (1980) On minimax decision rules in stochastic programming. In: Prekopa A (ed) Mathematical methods of operations research, vol 1. Publishing House of the Academy of Sciences, Budapest, pp 38?48
no DOI — not checkedFeller W (1971) An introduction to probability theory and its applications, vol II (2nd ed). John Wiley and Sons, New York
no DOI — not checkedKankova V (1977) Optimum solution of a stochastic optimization problem with unknown parameters. In: Transactions of the 7th Prague Conference (1974). Academia, Prague, pp 239?244
no DOI — not checkedKarlin S, Studden WJ (1966) Tchebycheff systems: with applications in analysis and statistics. Interscience, New York
no DOI — not checkedMarshall AW, Olkin I (1979) Inequalities: theory of majorization and its applications. Academic Press, New York
no DOI — not checkedSinha SM (1963) Stochastic programming. PhD Thesis, University of California, Berkeley
no DOI — not checkedSzántai T (1985) Computing the value of multivariate probability distribution functions. PhD Thesis, Eötvös L. University, Budapest
no DOI — not checkedYudin DB (1980) Problems and methods of stochastic programming. Publishing House ?Sovietskoye Radio?, Moscow (in Russian)
What this badge says. CiteStamped means the CHECKABLE references of this work were clean at the dated check: each resolved to a known work in a public registry, and none carried a retraction notice at that time. It says nothing about the quality, findings, or importance of the work itself, and nothing about references deposited without a DOI.

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