In this paper, the sum of a hyper-Erlang and a hyper-exponential distributed random variables is analyzed. Although tedious, the resulting random variable’s probability density function (PDF) can be obtained through convolution of its summands’ PDFs. ...

This research compares and contrasts the simple regression model's parameter estimation methods, which consisted of a dependent variable and one independent variable. Parameter estimation uses the ordinary least square method, Bayesian method, Markov ...

This paper proposes a new approach to optimizing cost function for binary logistic regression by the Gauss-Newton method. This method was applied to the backpropagation phase as a part of the training process to update the weighted coefficients. To show ...

The research on all-or-nothing transform in cryptography leads to the problem that, for a given positive integer , what is the density of invertible submatrices of any invertible matrix? For binary matrices, previous work shows that in the case , , ...

In this work we investigate the possibility of expressing the solution of the Navier-Stokes equations as a power series. Although there have been many studies on this subject, it is still much debated. The existence of such a solution and its ...

Long-jumpers’ performances are affected by various factors. Based on the physical characteristics, take-off angle, approach speed, air density of environment, etc., this paper establishes a mathematical model that can obtain the long-jumpers’ ...

In this article, using the simplicial Bernstein form of polynomials on a simplex, we provide positivity certificates for the approximate solution of a linear elliptic PDE obtained by simplicial Bernstein Bubnov-Galerkin method. Particularly, we show ...

With the development of educational informatization, the adoption and diffusion of educational technology have become hot research. As educational technology innovation, the MOOC has opened the "Internet + Education" integrated teaching model, and it ...

One of the main problems faced by health institutions is the unwarned absenteeism of patients in medical appointments. Patients’ no-shows, without prior notice, can result in loss of revenue for health centres and increasing waiting lines. Hence, there ...

In this paper, we propose a collaborative strategy for an autonomous PTZ (Pan Tilt Zoom) camera network, for improved target vehicle tracking, in real-world traffic. In addition, we explore ways to improve the target-tracking system to adapt itself to ...

We explore and contrast two distinct ways of extracting discrete predictive models for the evolution of stock market time-series data. In particular, the two methods for constructing models are one, applying the commonly used “hollow candlestick” ...

This paper proposes a pricing model of insurance for persons with autism and further designs a possible insurance product that compensate the insured persons 18 years after purchasing the insurance. Using MATLAB programming, the variation of insurance ...

In order to improve the prediction accuracy, this study proposes an new PCA-LSTM neural network stock price prediction model that combines principal component analysis(PCA) and long-term and short-term memory neural network (LSTM). We download time ...

The Coronavirus had been viral and heavily influenced daily lives for more than two years. Two popular procedures to combat the pandemic were general vaccine implantation and limited social contact. We evaluated the effectiveness of these procedures by ...

In order to understand the influence of fat factors on the bone age of children between the ages of 3 and 14 years, the physical examination data of children between the ages of 3 and 14 in the period of 2018.3.12-2020.5.10 were selected as the research ...

The recent development of Hifi sequencing has greatly improved people's understanding of genomics. Hifi reads provide a more accurate and complete picture than traditional long reads and Illumina short reads. However, both long reads and short reads ...

In recent years, great changes have taken place in economy and society in China. However, income inequality is becoming more serious and it needs to be paid more attention. Therefore, the analysis of factors that affect income is important. The Bayesian ...

In this paper, the variational form is used to analyze the existence and uniqueness of the corresponding partial differential equations. In addition, the equation of the magnetic field induced by the magnet is also investigated. By constructing the ...

One common action to keep aware of the current investment progress is by updating finance news continuously. Indeed, we can read a bunch of news relating to finance from social media, which is often difficult to figure out at a glance. Hence, this work ...

Stochastic differential equations are widely used in atmospheric temperature prediction. This paper based on the established stochastic differential logistic model of global average temperature, it takes Euler's numerical model method to estimate the ...

In the vacuum heat treatment process, the heat exchange process, temperature field distribution, and cooling rate field distribution inside the vacuum furnace are not easy to observe and measure directly. With the rapid development of numerical ...

In the periodic table of elements there cannot be elements lighter than hydrogen, but there can be elements heavier than uranium. Presently about 26 transuranic are known. When atoms’ nuclei get heavier, more protons in the nucleus mean more Coulomb ...