Results 41 to 50 of about 276 (112)
Beyond the Tail: Taming Bias in Burr XII Residual Entropy Estimation
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.Accurately predicting system lifetime is routine in reliability and survival analysis, but quantifying uncertainty in residual life is rarely addressed despite being often more critical. Residual entropy fills this gap by measuring unpredictability in remaining lifetime.
Amal Helu +4 more
wiley +1 more source
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This paper presents a new approach to determine the mean time to system failure (MTSF) and reliability function of k‐out‐of‐n systems with independent and identically distributed components following the inverse Weibull (IW) distribution. The system remains operational when at least k of its n components function properly.
Fatimah Saad Hameed +2 more
wiley +1 more source
Sharp bounds for gamma and digamma function arising from Burnside's formula
Journal of Numerical Analysis and Approximation Theory, 2010 The main aim of this paper is to improve the Burnside's formula for approximating the factorial function. We prove the complete monotonicity of a function involving the gamma function to establish new lower and upper sharp bounds for the gamma and ...
Cristinel Mortici
doaj +2 more sources
Certain Mathematical Constants Associated with Harmonic Numbers and Higher-Dimensional Harmonic Sums
MathematicsThe Euler–Mascheroni constant γ, defined as the limiting difference between the harmonic numbers Hn and logn, has long been studied and appears in diverse areas of number theory, analysis, and special functions.
Junesang Choi
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Monotonic nature of the Gamma function
Journal of Inequalities and ApplicationsThis study begins by examining the monotonic behavior of the function ln Γ ( x + 1 ) / ( ln ( x 2 + 6 ) − ln ( x + 6 ) ) $\ln \Gamma (x+1)/\left (\ln \left (x^{2}+6\right )-\ln (x+6)\right )$ on the interval x ∈ ( − 1 , 1 ) $x\in (-1,1)$ , supported by ...
Teodor Bulboacă, Hanaa M. Zayed
doaj +1 more source
An In-Depth Investigation of the Riemann Zeta Function Using Infinite Numbers
MathematicsThis study focuses on an in-depth investigation of the Riemann zeta function. For this purpose, infinite numbers and rotational infinite numbers, which have been introduced in previous studies published by the author, are used.
Emmanuel Thalassinakis
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The Weibull–Odd Perks Distribution: Statistical Theory, Regression Modeling, and Applications
Journal of MathematicsWe introduce the Weibull–Odd Perks distribution (WOPD), a three-parameter lifetime model obtained by composing the odds function of the Perks distribution with the Weibull-G generator.
John Kwadey Okutu +3 more
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The Sum of Reciprocals of Polygonal Numbers: A Spreadsheet Based Illustration
Spreadsheets in EducationThis pedagogic note considers the sum of reciprocals of polygonal numbers. Closed form expressions of the sum are currently available for twelve specific cases, from triangles to 26-sided polygons. Several of these expressions are from featured solutions
Clarence C. Y. Kwan
doaj
Complete Asymptotic Expansions for the Double Harmonic Sum and Related Constants [PDF]
Contributions to MathematicsShun-Wei Xu, Chao-Ping Chen
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Achievable information rate optimization in C-band optical fiber communication system. [PDF]
Front Optoelectron, 2023 Liu Z +5 more
europepmc +1 more source