Results 21 to 30 of about 5,444,686 (168)
Mathematics, 2023 In this paper, the authors review and survey some results published since 2020 about (complete) monotonicity, inequalities, and their necessary and sufficient conditions for several newly introduced functions involving polygamma functions and originating
Feng Qi, Ravi Prakash Agarwal
doaj +1 more source
The additivity of polygamma functions [PDF]
Filomat, 2015 In the paper, the authors prove that the functions |?(i)(ex)| for i ? N are subadditive on (ln?i,?) and superadditive on (-?, ln ?i), where ?i ? (0,1) is the unique root of equation 2|?(i)(?)|= ?(i)(?2)|.
Bai-Ni Guo, Feng Qi, Qiu-Ming Luo
openaire +1 more source
A combinatorial proof of the Gaussian product inequality beyond the MTP2 case
Dependence Modeling, 2022 A combinatorial proof of the Gaussian product inequality (GPI) is given under the assumption that each component of a centered Gaussian random vector X=(X1,…,Xd){\boldsymbol{X}}=\left({X}_{1},\ldots ,{X}_{d}) of arbitrary length can be written as a ...
Genest Christian, Ouimet Frédéric
doaj +1 more source
IET Radar, Sonar &Navigation, Volume 17, Issue 11, Page 1728-1742, November 2023., 2023 A robust algebraic algorithm based on lp ${l}_{p}$‐norm minimisation and IRLS is developed. The simulation results demonstrated that the localisation RMSE and bias of the existing algorithms increased dramatically in impulse measurement noise. In contrast, the localisation RMSE and bias of the developed algorithm were significantly lower at different ...
Jing Yang +5 more
wiley +1 more source
Information‐theoretic model of induced technical change: Theory and empirics
Metroeconomica, Volume 74, Issue 1, Page 2-39, February 2023., 2023 Abstract The paper develops an information‐theoretic model of induced technical change where payoff‐maximizing agents are exposed to a positive degree of uncertainty when adopting new technology due to unobserved cost factors. The derived equilibrium of the model comes in the form of a non‐degenerate probability distribution that defines the distance ...
Jangho Yang
wiley +1 more source
On a Conjecture of Alzer, Berg, and Koumandos
Mathematics, 2020 In this paper, we find a solution of an open problem posed by Alzer, Berg, and Koumandos: determine ( α , m ) ∈ R + × N such that the function x α | ψ ( m ) ( x ) | is completely monotonic on ( 0 , ∞ ) , where ψ (
Ladislav Matejíčka
doaj +1 more source
Revstat Statistical Journal, 2021 Three conjectures on the standard deviation, skewness and kurtosis of the shifted Gompertz distribution, as the shape parameter increases to +∞, are proved. In this regard, the exponential integral function and polygamma functions are used in the proofs.
Fernando Jiménez Torres
doaj +1 more source
Analysis of Eavesdropping Region in Hybrid mmWave‐Microwave Wireless Systems
Wireless Communications and Mobile Computing, Volume 2023, Issue 1, 2023., 2023 Hybrid communication systems, where millimeter‐wave (mmWave) links coexist with microwave links, have been an essential component in the fifth‐generation (5G) wireless networks. Nevertheless, the open feature of the wireless medium makes hybrid systems vulnerable to eavesdropping attacks.
Qianyue Qu +3 more
wiley +1 more source
On k-analogues of digamma and polygamma functions [PDF]
Journal of Classical Analysis, 2018 Summary: In this work, we obtain some integral representations of \(k\)-analogue of classical digammafunction \(\Psi(x)\). Then by using the concepts of neutrix and neutrix limit, we generalize the \(k\)-digamma function \(\Psi_k(x)\) and the \(k\)-polygamma function \(\Psi_k^{(r)}(x)\) for all real values of \(x\), \(r\in \mathbb N\) and \(k>0\). Also,
Yıldırım, Emrah, Ege, İncı
openaire +1 more source
Complexity, Volume 2023, Issue 1, 2023., 2023 In this study, we use the idea of the hierarchical model (HM) to estimate an unknown parameter of the hierarchical Poisson‐Gamma model using the E‐Bayesian (E‐B) theory. We propose the idea of hierarchical probability function instead of the traditional hierarchical prior density function.
Azeem Iqbal +6 more
wiley +1 more source