A modified uncertain maximum likelihood estimation with applications in uncertain statistics

Y Liu, B Liu - Communications in Statistics-Theory and Methods, 2024 - Taylor & Francis
In uncertain statistics, the uncertain maximum likelihood estimation is a method of estimating
the values of unknown parameters of an uncertain statistical model that make the observed …

Estimation of uncertainty distribution function by the principle of least squares

Y Liu, B Liu - Communications in Statistics-Theory and Methods, 2024 - Taylor & Francis
In order to estimate the unknown parameters in an uncertainty distribution function, this
article uses the principle of least squares that minimizes the sum of the squared deviations …

Solution method and parameter estimation of uncertain partial differential equation with application to China's population

L Yang, Y Liu - Fuzzy Optimization and Decision Making, 2024 - Springer
Since the concept of uncertain partial differential equations (UPDEs) was proposed, it has
been developed significantly and led us to study parameter estimation for UPDEs. This …

Moment estimation for uncertain regression model with application to factors analysis of grain yield

Y Liu - Communications in Statistics-Simulation and …, 2024 - Taylor & Francis
Uncertain regression analysis is a powerful analytical tool to model the relationships
between explanatory variables and the response variable by uncertainty theory. One of the …

Parameter estimation of uncertain differential equation by implementing an optimized artificial neural network

I Noorani, F Mehrdoust - Chaos, Solitons & Fractals, 2022 - Elsevier
This study suggests a novel method for estimation of uncertain stock model parameters
driven by Liu process. The proposed method decomposes the parameter estimation …

Analysis of China's population with uncertain statistics

Y Liu - Journal of Uncertain Systems, 2022 - World Scientific
Uncertain statistics is a set of mathematical techniques for collecting, analyzing, and
interpreting data by using uncertainty theory. This paper employs the tool of uncertain …

Partial derivatives of uncertain fields and uncertain partial differential equations

T Ye - Fuzzy Optimization and Decision Making, 2024 - Springer
Multivariate uncertain calculus is a branch of mathematics that deals with differentiation and
integration of uncertain fields based on uncertainty theory. This paper defines partial …

Are the queueing systems in practice random or uncertain? Evidence from online car-hailing data in Beijing

Y Liu, Z Qin, X Li - Fuzzy Optimization and Decision Making, 2024 - Springer
In order to rationally characterize the nondeterministic phenomena in queueing systems,
there exist two mathematical systems, one is probability theory concerned with the analysis …

Higher-order derivative of uncertain process and higher-order uncertain differential equation

K Zhang, B Liu - Fuzzy Optimization and Decision Making, 2024 - Springer
This paper initializes higher-order uncertain calculus that deals with higher-order
differentiation and multiple integration of uncertain process based on uncertainty theory …

Modeling grain yield in China with uncertain time series analysis

T Ye, R Kang - Journal of Uncertain Systems, 2022 - World Scientific
Grain yield is an important factor related to the stable operation of a country's social
economy. This paper employs uncertain time series analysis (UTSA) to model rice grain …