Academic Articles & Research Papers

Estimating the Intensity Equations for Rain Intensity Frequency Curves (Mosul /Iraq)

The relationship between the rainfall intensity, duration, and frequency (IDF) is widely used in water resources engineering in designing hydraulic structures, such as culverts and sewage systems, and for reducing and controlling floods. In...

Topical Text Network Construction Method Based on Gibbs Sampling Results

Mining the probability distribution of topic words in document collection can make a summary understanding of the document content.Further exploring the connection relationship between words in a given topic not only riches the meaning of t...

Probability and Statistics.

Statistics and probability both fall within the broader scope of the theory of random phenomena. The first deals with providing probability distributions adaptable to the various real random phenomena, and the second deals very often with a...

Population Dynamics and Socio-ecological Trajectories Explain the Emergence of Farming in Late Neolithic Southeast Norway

This paper examines the emergence of farming in Late Neolithic Southeast Norway. A summed probability distribution of radiocarbon dates is used to infer population dynamics and together with a chronological model using dated samples from po...

Power Load Probabilistic Prediction Based on Multi-Value Quantile Regression and Timing Fusion Ensemble Learning Model

The core component to ensure the refined and safe operation of distribution network scheduling is 10 kV bus load probabilistic prediction. However, existing probabilistic prediction methods suffer from insufficient dynamic feature extractio...

Re-examine weekday effects and intraday returns: a probability distribution approach for Dow and Nasdaq ten-minute indices

Validation of Sentinel-2 (MSI) and Sentinel-3 (OLCI) Water Quality Products in Turbid Estuaries Using Fixed Monitoring Stations

It is common in estuarine waters to place fixed monitoring stations, with the advantages of easy maintenance and continuous measurements. These two features make fixed monitoring stations indispensable for understanding the optical complexi...

Study on the stability of particle packing structure based on cells

The macroscopic mechanical property and the stability of granular mechanics system are determined by packing structure. Cells play a fundamental role in granular statistical mechanics and thus cells were utilized in this paper to research t...

Mathematical Statistics With Applications

This calculus-based book presents a blend of theory and application. It focuses on inference making as the goal of studying probability and statistics, and features an emphasis on real-life applications of the mathematically divided techniq...

A History of Mathematics: An Introduction

Part I. Ancient Mathematics 1. Egypt and Mesopotamia 1.1 Egypt 1.2 Mesopotamia 2. The Beginnings of Mathematics in Greece 2.1 The Earliest Greek Mathematics 2.2 The Time of Plato 2.3 Aristotle 3. Euclid 3.1 Introduction to the Elements 3.2 ...

Medical Informatics: An Introduction

1. Information Processing in Medicine.- 1.1 Introduction.- 1.2 Overlap With Other Disciplines.- 2. Informatics.- 2.1 Structure.- 2.2 Fundamental Concepts.- 2.2.1 Message and Information.- 2.2.1.1 Events, Probability.- 2.2.1.2 SHANNON'S Info...

Estimation of the probability of daily fluctuations of incidence of COVID-19 according to official data

When studying the dynamics of morbidity and mortality, one should not limit ourselves to analyzing general trends. Interesting information can be obtained from the analysis of deviations in morbidity and mortality from the general dynamics....

An Optimization Model for Reliability Improvement and Cost Reduction Through EV Smart Charging

There is a general concern that the increasing penetration of electric vehicles (EVs) will result in higher aging failure probability of equipment and reduced network reliability. The electricity costs may also increase, due to the exacerba...

Data-Driven Clustering Analysis for Representative Electric Vehicle Charging Profile in South Korea

As the penetration of electric vehicles (EVs) increases, an understanding of EV operation characteristics becomes crucial in various aspects, e.g., grid stability and battery degradation. This can be achieved through analyzing large amounts...

Interplay Between Vertical and Horizontal Schemes of Computation: From Bayesian Inference to Quantum Logic via Gluing Boolean Algebras

Artificial intelligence is typically formulated as an information-processing system composed of artificial neurons, where computation is understood as recursive operations connecting inputs and outputs. However, real neural systems are mate...

Quantum computing and hidden variables

This paper initiates the study of hidden variables from a quantum computing perspective. For us, a hidden-variable theory is simply a way to convert a unitary matrix that maps one quantum state to another into a stochastic matrix that maps ...

Weight Uncertainty in Neural Networks

We introduce a new, efficient, principled and backpropagation-compatible algorithm for learning a probability distribution on the weights of a neural network, called Bayes by Backprop. It regularises the weights by minimising a compression ...

Damage Strength Model of Soil–Structure Interface Based on Equivalent Damage

Objective Pile-soil interaction plays a critical role in slope support engineering. Since the contact surface represents the weakest link in the system, analyzing the influence of the soil shear area on the mechanical properties and the con...

Analytically Computing the Moments of a Conic Combination of Independent Noncentral Chi-Square Random Variables and Its Application for the Extended Cox–Ingersoll–Ross Process with Time-Varying Dimension

This paper focuses mainly on the problem of computing the γth, γ>0, moment of a random variable Yn:=∑i=1nαiXi in which the αi’s are positive real numbers and the Xi’s are independent and distributed according to noncentral chi-square distri...

INTRODUCTORY STATISTICS

There are numerous probability distributions or density functions. Empirical distributions rarely go by the name of densities. The normal density has figured prominent in the history of statistics largely because it serves as a useful model...