Convergence Rates for Penalized Least Squares Estimators in PDE Constrained Regression Problems

2020 ◽  
Vol 8 (1) ◽  
pp. 374-413 ◽  
Author(s):  
Richard Nickl ◽  
Sara van de Geer ◽  
Sven Wang
Keyword(s):  
Least Squares ◽  
Convergence Rates ◽  
Penalized Least Squares ◽  
Constrained Regression ◽  
Least Squares Estimators ◽  
Regression Problems

Complexity penalized least squares estimators: Analytical results

2008 ◽  
Vol 281 (4) ◽  
pp. 582-595 ◽  
Author(s):  
O. Wittich ◽  
A. Kempe ◽  
G. Winkler ◽  
V. Liebscher
Keyword(s):  
Least Squares ◽  
Penalized Least Squares ◽  
Least Squares Estimators ◽  
Analytical Results

scholarly journals Consistencies and rates of convergence of jump-penalized least squares estimators

2009 ◽  
Vol 37 (1) ◽  
pp. 157-183 ◽  
Author(s):  
Leif Boysen ◽  
Angela Kempe ◽  
Volkmar Liebscher ◽  
Axel Munk ◽  
Olaf Wittich
Keyword(s):  
Least Squares ◽  
Rates Of Convergence ◽  
Penalized Least Squares ◽  
Least Squares Estimators

scholarly journals A New Inverted Topp-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries

Axioms ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 25 ◽  
Author(s):  
Ehab Almetwally ◽  
Randa Alharbi ◽  
Dalia Alnagar ◽  
Eslam Hafez
Keyword(s):  
Statistical Model ◽  
Least Squares ◽  
Weighted Least Squares ◽  
Likelihood Estimation ◽  
Linear Representation ◽  
Rate Function ◽  
Estimation Methods ◽  
Unknown Parameters ◽  
Least Squares Estimators ◽  
New Distribution

This paper aims to find a statistical model for the COVID-19 spread in the United Kingdom and Canada. We used an efficient and superior model for fitting the COVID 19 mortality rates in these countries by specifying an optimal statistical model. A new lifetime distribution with two-parameter is introduced by a combination of inverted Topp-Leone distribution and modified Kies family to produce the modified Kies inverted Topp-Leone (MKITL) distribution, which covers a lot of application that both the traditional inverted Topp-Leone and the modified Kies provide poor fitting for them. This new distribution has many valuable properties as simple linear representation, hazard rate function, and moment function. We made several methods of estimations as maximum likelihood estimation, least squares estimators, weighted least-squares estimators, maximum product spacing, Crame´r-von Mises estimators, and Anderson-Darling estimators methods are applied to estimate the unknown parameters of MKITL distribution. A numerical result of the Monte Carlo simulation is obtained to assess the use of estimation methods. also, we applied different data sets to the new distribution to assess its performance in modeling data.

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