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Remainder term estimate for the asymptotic normality of the number of renewals

Journal of Applied Probability, 1980
It is well known that the number of renewals in the time interval [0, t] for an ordinary renewal process is approximately normally distributed under general conditions. We give a remainder term estimate for this normal distribution approximation.
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Monotonicity results of ratio between two normalized remainders of Maclaurin series expansion for square of tangent function

Mathematica Slovaca
Abstract In the paper, in view of the monotonicity rule for the ratio between two Maclaurin power series and by virtue of establishment of a monotonicity result for a sequence involving the ratio between two Bernoulli numbers, the authors investigate the monotonicity of the ratio between two normalized remainders of the Maclaurin power ...
Liu, Xin-Le, Qi, Feng
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Elegant proofs for properties of normalized remainders of Maclaurin power series expansion of exponential function

Mathematica Slovaca
Abstract In the paper, by establishing an integral representation of a specific Maclaurin power series and in light of two monotonicity rules, the authors present very elegant proofs for several basic properties, including the positivity, (absolute) monotonicity, logarithmic convexity, and inequalities, of the normalized remainders of
Yue-Wu Li, Feng Qi
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Some properties of normalized remainders of the Maclaurin expansion for a function originating from an integral representation of the reciprocal of the gamma function

Mathematical Inequalities & Applications
Summary: It is well known that the classical Euler gamma function \(\Gamma (z)\) has had very extensive applications in mathematical sciences, including physics and engineering, in the past centuries. In this study, the authors introduce the normalized remainder \(T_{2n+1} [\Phi (\theta)]\) of the Maclaurin expansion of the function \(\Phi (\theta) = 1-
Zhang, Juan, Qi, Feng
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PA-CRT: Chinese Remainder Theorem Based Conditional Privacy-Preserving Authentication Scheme in Vehicular Ad-Hoc Networks

IEEE Transactions on Dependable and Secure Computing, 2021
Jing Zhang, Jie Cui, Hong Zhong
exaly  

Efficient extraction of bagasse hemicelluloses and characterization of solid remainder

Bioresource Technology, 2015
Shuangquan Yao   +2 more
exaly  

Normalized cuts and image segmentation

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2000
Jianbo Shi, Eliseo Clementini
exaly  

Phase Unwrapping and A Robust Chinese Remainder Theorem

IEEE Signal Processing Letters, 2007
Xiang-Gen Xia
exaly  

A Closed-Form Robust Chinese Remainder Theorem and Its Performance Analysis

IEEE Transactions on Signal Processing, 2010
Xiang-Gen Xia
exaly  

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