An improved negative binomial approximation with high accuracy to the negative hypergeometric probability for order-preserving encryption

DOI10.1080/10236198.2016.1195828zbMath1370.60043OpenAlexW2428440889WikidataQ122189067 ScholiaQ122189067MaRDI QIDQ4978245

Dongping Hu

Publication date: 8 August 2017

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2016.1195828

zbMATH Keywords

negative binomial distributionStirling's formulanegative hypergeometric distributionnegative binomial approximationorder-preserving encryption

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Cryptography (94A60)

Cites Work

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• A new randomized response device for sensitive characteristics: an application of the negative hypergeometric distribution
• A mixture model for preferences data analysis
• Event-based analysis times for randomised clinical trials
• Order-Preserving Symmetric Encryption
• The inverse hypergeometric - a useful model
• EXACT AND APPROXIMATED RELATIONS BETWEEN NEGATIVE HYPERGEOMETRIC AND NEGATIVE BINOMIAL PROBABILITIES
• Accuracy Problems of Numerical Calculation of Fractional Order Derivatives and Integrals Applying the Riemann-Liouville/Caputo Formulas
• Performance of Interval Estimators for the Inverse Hypergeometric Distribution
• Univariate Discrete Distributions

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