Optimal unbiased estimation for maximal distribution

Jin, Hanqing; Péng, Shigē

doi:10.3934/puqr.2021009

Cited by 13 publications

(5 citation statements)

References 17 publications

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“…For the calculation of the ship's energy consumption, fuel consumption was calculated as a function of the engine power at a given speed, and for the assessment of emissions, the parameters of the ship's fuel consumption, engine power and operating time were used [15,38]. For this calculation, the maximal distribution method was used utilizing data achieved by conducting experiments on simulators and real ships [39]. The maximal distribution method could be applied in case at least 5 measurements were carried out.…”

Section: Steps Of Research Methodologymentioning

confidence: 99%

Impact of Port Clearance on Ships Safety, Energy Consumption and Emissions

Paulauskas

2023

Applied Sciences

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The safety of shipping, energy consumption and environmental impact in ports and port channels is very critical. One of the most important elements in the provision of safe navigation, energy consumption and emissions generation is the depth of ports so that under all conditions the hull of a ship does not touch the bottom of the channels or the bottom of the basin, as well as optimizing energy consumption and minimizing the environmental impact. The very high depth reserves in ports make it possible to ensure the safety of shipping, but at the same time require huge investments in the dredging and maintenance of a port’s channels and basins, which can have a negative impact on a port’s economic results. Optimizing the depth of port channels and basins is very important from an economic, maritime safety, energy saving and environmental point of view, as vessels navigating port channels and basins must not only keep their hulls off the bottom of the channel or basin, but also have good controllability, use minimal energy consumption and minimize their environmental impact. With good maneuverability, the number of and need for auxiliary vehicles (tugs) can be minimized. This article analyses the relationship between ships’ draught and port channels and basins depths, which influences the aspects of a ship’s controllability, in order to optimize the depths of port channels and basins and, at the same time, minimize energy consumption and environmental impact while preserving the necessary navigational safety.

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Section: Steps Of Research Methodologymentioning

confidence: 99%

Impact of Port Clearance on Ships Safety, Energy Consumption and Emissions

Paulauskas

2023

Applied Sciences

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“…Proposition 2.1 ensures that as n → ∞ and k = o(n), the estimators by Jin and Peng (2016) are sufficiently concentrated inside [µ, µ].…”

Section: Statistical Inference For Uncertain Distributionsmentioning

confidence: 99%

Limit theorems with rate of convergence under sublinear expectations

Fang¹,

Péng²,

Shao³

et al. 2019

Bernoulli

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Under the sublinear expectation [·] := sup θ∈Θ E θ [·] for a given set of linear expectations {E θ : θ ∈ Θ}, we establish a new law of large numbers and a new central limit theorem with rate of convergence. We present some interesting special cases and discuss a related statistical inference problem. We also give an approximation and a representation of the G-normal distribution, which was used as the limit in Peng (2007)'s central limit theorem, in a probability space.

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“…The number of distributions in the family can be infinite while explicit formulations of the distributions are not to be expected. The nonlinear expectation theory has been applied successfully in data analysis to account for distribution uncertainty (Jin and Peng, 2021;Ji et al, 2023;Peng et al, 2023).…”

Section: Introductionmentioning

confidence: 99%

Research on the Current Situation of Korean Literature Teaching in Qingdao National University, Shandong Province, China

Zhang¹

2022

TKFL

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We discuss three developments in the study of the tangential Casimir force. The first one generalizes the force from dielectrics to magnetodielectrics. This generalization is readily realized with the help of working out the total zero-point energy of multilayered magnetodielectrics. The second one revisits the tangential force for real conductors by taking into account the temperature dependence of their dielectric constants, and provides needed theoretical results for experimental investigations that are expected to be conducted at room temperature. The third investigates the Casimir torque from plates made of isotropic media, which offers a simple way to realize torques for uncharged surfaces.

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Optimal unbiased estimation for maximal distribution

Cited by 13 publications

References 17 publications

Impact of Port Clearance on Ships Safety, Energy Consumption and Emissions

Impact of Port Clearance on Ships Safety, Energy Consumption and Emissions

Limit theorems with rate of convergence under sublinear expectations

Research on the Current Situation of Korean Literature Teaching in Qingdao National University, Shandong Province, China

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