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Convergence Rate of Euler–Maruyama Scheme to the Invariant Probability Measure Under Total Variation Distance for the SDEs [PDF]
EntropyThis article shows the geometric decay rate of the Euler–Maruyama scheme for a one-dimensional stochastic differential equation towards its invariant probability measure under total variation distance.
Yuke Wang, Yinna Ye
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Geometric‐Mean Fitness Does Not Correspond to Long‐Term Survival Probability [PDF]
Ecology and EvolutionUnpredictable randomness plays a crucial role in long‐term sustainability of biological systems. The population growth of a species in variable environments is typically described in terms of a long‐term measure like geometric‐mean fitness, or geometric ...
Takuya Okabe, Jin Yoshimura, Hiromu Ito
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EARLY HISTORY OF GEOMETRIC PROBABILITY AND STEREOLOGY
Image Analysis and Stereology, 2012 The paper provides an account of the history of geometric probability and stereology from the time of Newton to the early 20th century. It depicts the development of two parallel ways: on one hand, the theory of geometric probability was formed with ...
Magdalena Hykšová +2 more
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Joint Shaping of Geometry and Probability based on Mutual Information Neural Estimation
Guangtongxin yanjiu, 2022 In view of the problem that quadrature amplitude modulation has 1.53 dB capacity gap at the Shannon limit in high signal noise ratio, the paper proposes a joint shaping method of geometry and probability based on mutual information neural estimation ...
LIANG Jia-xi +3 more
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Mathematics, 2023 This study investigates the dynamics of three discrete independent events occurring randomly and repeatedly within the interval [0,T]. Each event spans a predetermined fraction γ of the total interval length T before concluding.
Mohammad Al Bataineh +3 more
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Geometric Inference for Probability Measures [PDF]
Foundations of Computational Mathematics, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chazal, Frédéric +2 more
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Journal of Biostatistics and Epidemiology, 2023 Introduction: Although geometric distribution, which is a special case of Negative Binomial (NB) distribution, also belongs to the discrete family of distributions, little attention has been paid to modeling count data with the geometric distribution ...
Zainab Al-Balushi +2 more
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Science and Engineering of Composite Materials, 2023 The micro-cracks in a material lead to a reduction in its overall strength and service life. The emerging capsule-based self-healing system provides a new strategy for repairing the cracks, effectively delaying the potential damage of the matrix, and ...
Lv Zhong +6 more
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Technometrics, 1980 AbstractThe application of probabilities to geometric objects has a history of some two hundred years. We give a brief history, highlighting typical problems and techniques. The abstract phase of the last decade is illustrated by some work of the author.
M. M. Siddiqui, Herbert Solomon
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ESTIMATING VOLUME DISTRIBUTIONS USING MAXIMUM ENTROPY
Image Analysis and Stereology, 2011 This paper describes a new method for estimating particle volume distributions using isotropic, uniform, random (IUR) sections. An attractive feature of the method is that it makes no assumptions about the shape of the particles.
Jonathan M Keith, Stephen L Gay
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