Results 51 to 60 of about 10,784,145 (367)
Measuring the Lack of Monotonicity in Functions [PDF]
SSRN Electronic Journal, 2014 Problems in econometrics, insurance, reliability engineering, and statistics quite often rely on the assumption that certain functions are non-decreasing. To satisfy this requirement, researchers frequently model the underlying phenomena using parametric and semi-parametric families of functions, thus effectively specifying the required shapes of the ...
Danang Teguh Qoyyimi +2 more
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The ANZIAM Journal, 2007 In this paper, a function involving the divided difference of the psi function is proved to be completely monotonic, a class of inequalities involving sums is found, and an equivalent relation between complete monotonicity and one of the class of ...
Feng Qi (祁锋)
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On rational bounds for the gamma function
Journal of Inequalities and Applications, 2017 In the article, we prove that the double inequality x 2 + p 0 x + p 0 < Γ ( x + 1 ) < x 2 + 9 / 5 x + 9 / 5 $$ \frac{x^{2}+p_{0}}{x+p_{0}}< \Gamma(x+1)< \frac{x^{2}+9/5}{x+9/5} $$ holds for all x ∈ ( 0 , 1 ) $x\in(0, 1)$ , we present the best possible ...
Zhen-Hang Yang +3 more
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On testing exponentiality under Type-I censoring
Frontiers in Applied Mathematics and Statistics, 2023 Two new goodness-of-fit testing procedures are introduced to test exponentiality when data are subject to Type-I censoring. We proposed four test statistics for this purpose.
Reza Pakyari, Omama M. Al-Hamed
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The Infinite NHPP Software Reliability Model based on Monotonic Intensity Function
, 2015 Software testing (debugging) in order to reduce costs in terms of changes in the software reliability and testing costs, need to know in advance is more efficient.
Yoo， Tae-hyun
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The capacity of monotonic functions
Discrete Applied Mathematics, 1998 AbstractWe consider the class M of monotonically increasing binary output functions. M has considerable practical significance in machine learning and pattern recognition because prior information often suggests a monotonic relationship between input and output variables. The decision boundaries of monotonic classifiers are compared and contrasted with
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Applicable Analysis and Discrete Mathematics, 2020 In the paper, the authors extend a function arising from the Bernoulli trials in probability and involving the gamma function to its largest ranges, find logarithmically complete monotonicity of these extended functions, and, in light of logarithmically ...
Feng Qi (祁锋) +3 more
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Two Approximation Formulas for Bateman’s G-Function with Bounded Monotonic Errors
Mathematics, 2022 Two new approximation formulas for Bateman’s G-function are presented with strictly monotonic error functions and we deduced their sharp bounds. We also studied the completely monotonic (CM) degrees of two functions involving G(r), deducing two of its ...
Mansour Mahmoud, Hanan Almuashi
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A class of logarithmically completely monotonic functions related to the gamma function with applications [PDF]
, 2009 In this article, a necessary and sufficient condition and a necessary condition are established for a class of functions involving the gamma function to be logarithmically completely monotonic on .
Senlin Guo +2 more
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The monotonicity of the permanent function
Discrete Mathematics, 1991 AbstractLet Ωn denote the set of all n × n doubly stochastic matrices and let Jn = [1/n]n × n. It is conjectured that, for any S ϵ Ωn, the permanent function is monotone increasing on the straight line segment from Jn to S, or equivalently that for any θ, 0 ⩽ θ ⩽ 1, per[(1 − θ)Jn + θS] ⩽ per S for all S ϵ Ωn.
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