Harmonic Bernoulli strings and random permutations by Eugenius Manstavičius

“… We examine fairly special b-harmonic Bernoulli strings appearing in n observations. It is shown that their count number can be used to define a random process converging to the Brownian motion as n tends to infinity. …”
Get full text

A Labeled Multi-Bernoulli Filter Based on Maximum Likelihood Recursive Updating by Yuhan Song, Han Shen-Tu, Junhao Lin, Yizhen Wei, Yunfei Guo

Get full text

Asymptotic behavior of the empirical checkerboard copula process for binary data: An educational presentation by Christian Genest, Johanna G. Nešlehová

“…The purpose of this note is to provide a detailed description of this asymptotic result and to derive an expression for the limit of the process in the simplest possible case in which the data form a random sample of pairs of Bernoulli random variables. …”
Get full text

Bending Vibration Analysis of Tensioned Ball Screw under Nonuniform Stress during the Cutting Process by Cheng Zhang, Jianrun Zhang

“…The bending vibration of tensioned ball screw under nonuniform stress in the cutting process is analyzed in this paper. Differential equation of a beam under nonuniform prestress is derived according to Euler–Bernoulli beam theory. …”
Get full text

Mathematical model of working processes of piston hybrid power machine of volumetric action with reduced fluctuations of gas pressure in discharge line by V. E. Scherba, A. V. Grigor’ev, A. V. Zanin

Get full text

Storm-based distributed sampling system for multi-source stream environment by Wonhyeong Cho, Myeong-Seon Gil, Mi-Jung Choi, Yang-Sae Moon

“…In this article, we propose a novel distributed processing model of binary Bernoulli sampling to solve these coordinator bottleneck and communication overhead problems. …”
Get full text

Fourier Descriptor Pada Klasifikasi Daun Herbal Menggunakan Support Vector Machine Dan Naive Bayes by Mutmainnah Samir, Purnawansyah, Herdianti Darwis, Fitriyani Umar

“…Adapun hasil dari metode Naive bayes dengan ekstraksi FD pada kernel multinomial menghasilkan akurasi tertinggi sebesar 83% pada terang, sedangkan kernel Bernoulli memberikan akurasi terendah sebesar 46% pada skenario gelap dan terang. …”
Get full text

Dynamic Average Consensus and Consensusability of General Linear Multiagent Systems with Random Packet Dropout by Wen-Min Zhou, Jiang-Wen Xiao

“…The packet dropout phenomenon is characterized as being a Bernoulli random process. A distributed consensus protocol with weighted graph is proposed to address the packet dropout phenomenon. …”
Get full text

Finite-Horizon Robust Kalman Filter for Uncertain Attitude Estimation System with Star Sensor Measurement Delays by Hua-Ming Qian, Wei Huang, Biao Liu

“…Combined with the misalignment errors and scale factor errors of gyros in the process model and the misalignment errors of star sensors in the measurement model, the uncertain attitude estimation model can be established, which indicates that uncertainties not only appear in the state and output matrices but also affect the statistic of the process noise. …”
Get full text

VB-Based Gaussian Sum Cubature Kalman Filter for Adaptive Estimation of Unknown Delay and Loss Probability by Ruipeng Wang, Xiaogang Wang, Haojie Zhang

“…First, the measurement model with MRMDL is modified by Bernoulli random variables. Then, the expression of the likelihood function is reformulated as a mixture of multiple Gaussian distributions, and the cubature rule is used to improve the estimation accuracy under the framework of Gaussian sum filter in the process of time update. …”
Get full text

Longitudinal Deformation Model and Parameter Analysis of Canal Lining under Nonuniform Frost Heave by Pengfei He, Jianhua Dong, Xin Ren, Xiaolei Wu

“…Therefore, during the frost heaving process, the internal force of lining is coupled with these two elements. …”
Get full text

Random sums of random vectors and multitype families of productive individuals by I. Rahimov, H. Muttlak

“…We prove limit theorems for a family of random vectors whose coordinates are a special form of random sums of Bernoulli random variables. Applying these limit theorems, we study the number of productive individuals in n-type indecomposable critical branching stochastic processes with types of individuals T1,…,Tn.…”
Get full text