Article
Mathematics, Applied
Nicos Georgiou, Enrico Scalas
Summary: This article discusses the changes that occur in the mixing time of a Markov chain when the integer step index n is replaced with a random counting process N(t). The focus is on the case where N(t) follows a power-law distribution with index beta. Specifically, the article studies the situation when beta is an element of (0, 1), leading to infinite expectation for the inter-arrival times, and further investigates the scenario where the inter-arrival times follow the Mittag-Leffler distribution of order beta.
FRACTIONAL CALCULUS AND APPLIED ANALYSIS
(2022)
Article
Multidisciplinary Sciences
Aleksey Belikov, Alexey Vyatkin, Sergey Leonov
Summary: The study indicates that the Erlang probability distribution can effectively model the age distribution of various cancers, suggesting that driver mutations accumulate silently in stem cells.
Article
Computer Science, Information Systems
Haichao Wei, Xiangling Xu, Bin Lin, Xiao Lu, Ping Wang
Summary: The study proposed a novel approximation method by decomposing the ASAPPP method to obtain key results, thereby achieving simple yet effective approximations in multi-tier networks.
IEEE WIRELESS COMMUNICATIONS LETTERS
(2022)
Article
Engineering, Civil
Chao-Huang Cai, Yan-Gang Zhao, Zhao-Hui Lu, Yu Leng
Summary: This paper proposes an equivalent expectation evaluation method for approximating the probability distribution of performance functions. The innovation of the proposed method is to formulate the probability distribution of the performance function as an expectation regardless of the dimensionality and complexity of the problem. The efficiency and accuracy of the proposed method are demonstrated through four numerical examples.
Article
Engineering, Electrical & Electronic
Hanshan Li, Xuewei Zhang, Xiaoqian Zhang, Junchai Gao
Summary: The study established a method to measure warhead fragment parameters and a damage probability model for the equivalent target, which was verified to be scientific through experiments and analysis.
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
(2021)
Article
Engineering, Aerospace
Wanying Yun, Yan Wang
Summary: This paper proposes an efficient Kriging model-based importance sampling method to analyze the failure probability-based parameter global sensitivity index. By utilizing equivalent probability transformation and importance sampling technique, the method efficiently estimates the global sensitivity indices of failure probability in high-dimensional space.
AEROSPACE SCIENCE AND TECHNOLOGY
(2022)
Article
Computer Science, Information Systems
Xia Zhou, Jianqiang Lu, Xiangpeng Xie, Chengjie Bu, Lei Wan, Feng Xue
Summary: This paper proposes a communication bandwidth prediction technology for intelligent power distribution services in smart parks, aiming to improve prediction accuracy by simulating business arrival processes, establishing service arrival rate models, and applying buffer management mechanisms. Through quantitative analysis of the application scenario in a smart power distribution room, the reliability and effectiveness of the proposed method were verified.
Article
Statistics & Probability
Bhaswar B. Bhattacharya, Somabha Mukherjee, Sumit Mukherjee
Summary: This paper studies the limiting distribution of a random quadratic form in the sparse regime, presenting various characterization theorems. The main result shows that the distributional limits of the form consist of three components, including a quadratic function, a linear Poisson mixture, and an independent Poisson component. A universality result allows for the replacement of the Bernoulli distribution with other discrete distributions.
ANNALS OF APPLIED PROBABILITY
(2021)
Article
Ecology
Graziella V. DiRenzo, David A. W. Miller, Blake R. Hossack, Brent H. Sigafus, Paige E. Howell, Erin Muths, Evan H. C. Grant
Summary: First-order dynamic occupancy models (FODOMs) capture ecological dynamics caused by covariates, but can be extended with a second-order Markov process to incorporate site memory when covariates are not available. This modeling framework allows for reliable inference on site occupancy, colonization, extinction, turnover, and detection probabilities.
Article
Engineering, Electrical & Electronic
Guchong Li, Lingjiang Kong, Wei Yi, Xiaolong Li
Summary: In this article, a multiple model PMBM (MM-PMBM) filter is proposed to address the tracking stability issue for maneuvering targets. The filter extends the single-model PMBM filter recursion to multiple motion models by utilizing the jump Markov system (JMS). Simulation results show that the MM-PMBM filter performs well in terms of tracking accuracy and is robust to different Markovian model transition probability matrices (TPMs).
IEEE SENSORS JOURNAL
(2021)
Article
Mathematical & Computational Biology
Ibrahim Alkhairy
Summary: The present study introduces a new extension of the Poisson distribution using the Ramos-Louzada distribution. Various statistical properties of the new distribution are derived and classical estimation techniques are used to estimate the model parameter. A comprehensive simulation study identifies the best estimation method, and Bayesian estimation with a gamma prior is also utilized. Three examples demonstrate the superiority of the proposed model over existing one-parameter discrete models.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2023)
Article
Computer Science, Information Systems
Hailin Wang, Hao Jiao, Jinming Chen, Wei Liu
Summary: This paper proposes an algorithm that accurately identifies PDN parameters based on the Markov chain and Monte Carlo method. The algorithm provides parameter values that conform to the initial probability distribution through the Monte Carlo method and combines actual feeder data to perform power flow calculations to obtain the loss function. The algorithm shows high-precision parameter values without phase angle information, insensitivity to initial values, and fast convergence.
Article
Multidisciplinary Sciences
Razik Ridzuan Mohd Tajuddin, Noriszura Ismail, Kamarulzaman Ibrahim
Summary: This study introduces estimation methods for the OIPP distribution, including MLE, OLSE, MME, and RPE, which are all asymptotically unbiased and consistent. Additionally, a novel one-inflation index is proposed to assess the dataset for excess ones, determining that OLSE and MLE are the best estimators for the OIPP distribution.
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE
(2021)
Article
Statistics & Probability
Demetrios P. Lyberopoulos, Nikolaos D. Macheras
Summary: This study investigates mixed compound Poisson processes under a probability measure, providing a characterization of all probability measures to maintain equivalence while improving the properties of the process. The research also discusses implications for premium calculation principles in an insurance market without free lunch and vanishing risk.
ANNALS OF APPLIED PROBABILITY
(2021)
Article
Engineering, Multidisciplinary
Youngjun Lee, Jongwoon Park, Dooyoul Lee
Summary: The research assessed crack growth and failure risk of aircraft landing gear components using stochastic crack growth analysis method and the equivalent initial flaw size distribution algorithm, validated the calculated risk with Monte-Carlo simulation, and proposed the optimum inspection interval to satisfy US Airforce risk management criteria.
STRUCTURAL HEALTH MONITORING-AN INTERNATIONAL JOURNAL
(2022)
Article
Oncology
Michael R. Folkert, Mark H. Bilsky, Gil'ad N. Cohen, Laszlo Voros, Jung Hun Oh, Marco Zaider, Ilya Laufer, Yoshiya Yamada
Article
Engineering, Electrical & Electronic
Linh T. Tran, Lachlan Chartier, Dale A. Prokopovich, Mark I. Reinhard, Marco Petasecca, Susanna Guatelli, Michael L. F. Lerch, Vladimir L. Perevertaylo, Marco Zaider, Naruhiro Matsufuji, Michael Jackson, Mitchell Nancarrow, Anatoly B. Rosenfeld
IEEE TRANSACTIONS ON NUCLEAR SCIENCE
(2015)
Meeting Abstract
Radiology, Nuclear Medicine & Medical Imaging
J. Jeong, C. Barker, M. Zaider, G. Cohen
Meeting Abstract
Radiology, Nuclear Medicine & Medical Imaging
X. Qiu, L. Voros, G. Cohen, G. Mageras, J. Yang, M. Zaider
Article
Radiology, Nuclear Medicine & Medical Imaging
M. Safavi-Naeini, Z. Han, S. Alnaghy, D. Cutajar, M. Petasecca, M. L. F. Lerch, D. R. Franklin, J. Bucci, M. Carrara, M. Zaider, A. B. Rosenfeld
Article
Oncology
Michael R. Folkert, Mark H. Bilsky, Gil'ad N. Cohen, Marco Zaider, Eric Lis, George Krol, Ilya Laufer, Yoshiya Yamada
Article
Engineering, Electrical & Electronic
Jayde Livingstone, Dale A. Prokopovich, Linh T. Tran, Susanna Guatelli, Marco Petasecca, Michael L. F. Lerch, Mark I. Reinhard, Vladimir L. Perevertaylo, James F. Ziegler, Marco Zaider, Anatoly B. Rosenfeld
IEEE TRANSACTIONS ON NUCLEAR SCIENCE
(2013)
Article
Engineering, Electrical & Electronic
Jeremy A. Davis, Susanna Guatelli, Marco Petasecca, Michael L. F. Lerch, Mark I. Reinhard, Marco Zaider, James Ziegler, Anatoly B. Rosenfeld
IEEE TRANSACTIONS ON NUCLEAR SCIENCE
(2014)
Article
Engineering, Electrical & Electronic
Linh T. Tran, Susanna Guatelli, Dale A. Prokopovich, Marco Petasecca, Michael L. F. Lerch, Mark I. Reinhard, James F. Ziegler, Marco Zaider, Anatoly B. Rosenfeld
IEEE TRANSACTIONS ON NUCLEAR SCIENCE
(2014)
Meeting Abstract
Oncology
B. Currier, D. H. Abramson, M. Zaider, G. N. Cohen, J. J. Munro, D. C. Medich
INTERNATIONAL JOURNAL OF RADIATION ONCOLOGY BIOLOGY PHYSICS
(2013)
Article
Oncology
Gil'ad N. Cohen, John J. Munro, Assen Kirov, Thomas Losasso, Yoshiya Yamada, Matthew Williamson, Lawrence T. Dauer, Marco Zaider
INTERNATIONAL JOURNAL OF RADIATION ONCOLOGY BIOLOGY PHYSICS
(2014)
Article
Engineering, Biomedical
Z. Han, M. Safavi-Naeini, S. Alnaghy, D. L. Cutajar, S. Guatelli, M. Petasecca, D. R. Franklin, A. Malaroda, M. Carrara, J. Bucci, M. Zaider, M. L. F. Lerch, A. B. Rosenfeld
PHYSICS IN MEDICINE AND BIOLOGY
(2014)
Article
Engineering, Biomedical
Leonid Hanin, Marco Zaider
PHYSICS IN MEDICINE AND BIOLOGY
(2014)
Article
Engineering, Biomedical
Leonid Hanin, Marco Zaider
PHYSICS IN MEDICINE AND BIOLOGY
(2014)
Article
Nuclear Science & Technology
K. J. Loo, J. Jakubek, J. Zemlicka, M. Petasecca, M. Safavi-Naeini, J. Bucci, M. Zaider, A. B. Rosenfeld
RADIATION MEASUREMENTS
(2014)