scholarly journals A Parameter Estimation Model of G-CSF: Mathematical Model of Cyclical Neutropenia

2012 ◽  
Vol 02 (01) ◽  
pp. 12-20 ◽  
Author(s):  
S. Balamuralitharan ◽  
S. Rajasekaran
Keyword(s):  
Mathematical Model ◽  
Parameter Estimation ◽  
Estimation Model ◽  
Cyclical Neutropenia

scholarly journals Set-membership identifiability of nonlinear models and related parameter estimation properties

2016 ◽  
Vol 26 (4) ◽  
pp. 803-813 ◽  
Author(s):  
Carine Jauberthie ◽  
Louise Travé-MassuyèEs ◽  
Nathalie Verdière
Keyword(s):  
Mathematical Model ◽  
Parameter Estimation ◽  
Dynamic System ◽  
Nonlinear Models ◽  
Differential Algebra ◽  
Related Parameter ◽  
Set Membership ◽  
Estimation Problems ◽  
The Mathematical Model

Abstract Identifiability guarantees that the mathematical model of a dynamic system is well defined in the sense that it maps unambiguously its parameters to the output trajectories. This paper casts identifiability in a set-membership (SM) framework and relates recently introduced properties, namely, SM-identifiability, μ-SM-identifiability, and ε-SM-identifiability, to the properties of parameter estimation problems. Soundness and ε-consistency are proposed to characterize these problems and the solution returned by the algorithm used to solve them. This paper also contributes by carefully motivating and comparing SM-identifiability, μ-SM-identifiability and ε-SM-identifiability with related properties found in the literature, and by providing a method based on differential algebra to check these properties.

The Application of Statistic Inference in the SMS Package Model

2013 ◽  
Vol 380-384 ◽  
pp. 1129-1132
Author(s):  
Miao Chao Chen ◽  
Ting Zhou
Keyword(s):  
Mathematical Model ◽  
Parameter Estimation ◽  
Hypothesis Testing ◽  
Poisson Distribution ◽  
Distribution Parameter ◽  
Research Results ◽  
Distribution Parameter Estimation

Hypothesis testing is one of the most important aspects in statistic inference. In this paper, we consider the SMS package problem of hypothesis testing. Firstly, we establish a mathematical model for SMS package problem. Secondly, we use the knowledge of Poisson distribution, parameter estimation and hypothesis testing to analyze this model, and the research results have proved the validity of the method.

Statistical Methods in Graphs: Parameter Estimation, Model Selection, and Hypothesis Test

2016 ◽  
pp. 183-202 ◽  
Author(s):  
Suzana de Siqueira Santos ◽  
Daniel Yasumasa Takahashi ◽  
João Ricardo Sato ◽  
Carlos Eduardo Ferreira ◽  
André Fujita
Keyword(s):  
Parameter Estimation ◽  
Model Selection ◽  
Statistical Methods ◽  
Hypothesis Test ◽  
Estimation Model
Sign in / Sign up

Export Citation Format

Share Document