Weak approximations of the empirical process when parameters are estimated

1976 ◽  
pp. 1-16 ◽  
Author(s):  
M. Csörgő ◽  
M. D. Burke
Keyword(s):  
Empirical Process ◽  
Weak Approximations

Fundamental Research into Thin Films in a Developing Country

1972 ◽  
Vol 30 ◽  
pp. 500-501
Author(s):  
J.A. Eades ◽  
E. Grünbaum
Keyword(s):  
Thin Films ◽  
Growth Process ◽  
Empirical Process ◽  
Nucleation And Growth ◽  
Research Groups ◽  
Film Research ◽  
Fundamental Research ◽  
Controlled Deposition ◽  
The One ◽  
The University

In the last decade and a half, thin film research, particularly research into problems associated with epitaxy, has developed from a simple empirical process of determining the conditions for epitaxy into a complex analytical and experimental study of the nucleation and growth process on the one hand and a technology of very great importance on the other. During this period the thin films group of the University of Chile has studied the epitaxy of metals on metal and insulating substrates. The development of the group, one of the first research groups in physics to be established in the country, has parallelled the increasing complexity of the field.The elaborate techniques and equipment now needed for research into thin films may be illustrated by considering the plant and facilities of this group as characteristic of a good system for the controlled deposition and study of thin films.

scholarly journals Planning a holistic summative eHealth evaluation in an interdisciplinary and multi-national setting: a case study and propositions for guideline development

2021 ◽  
Vol 21 (1) ◽  
Author(s):  
Monika Jurkeviciute ◽  
Amia Enam ◽  
Johanna Torres-Bonilla ◽  
Henrik Eriksson
Keyword(s):  
Pattern Matching ◽  
Quality Evaluation ◽  
Empirical Process ◽  
Guideline Development ◽  
Evaluation Process ◽  
Feasibility Analysis ◽  
National Team ◽  
Matching Technique ◽  
Interdisciplinary Setting

Abstract Background Summative eHealth evaluations frequently lack quality, which affects the generalizability of the evidence, and its use in practice and further research. To guarantee quality, a number of activities are recommended in the guidelines for evaluation planning. This study aimed to examine a case of an eHealth evaluation planning in a multi-national and interdisciplinary setting and to provide recommendations for eHealth evaluation planning guidelines. Methods An empirical eHealth evaluation process was developed through a case study. The empirical process was compared with selected guidelines for eHealth evaluation planning using a pattern-matching technique. Results Planning in the interdisciplinary and multi-national team demanded extensive negotiation and alignment to support the future use of the evidence created. The evaluation planning guidelines did not provide specific strategies for different set-ups of the evaluation teams. Further, they did not address important aspects of quality evaluation, such as feasibility analysis of the outcome measures and data collection, monitoring of data quality, and consideration of the methods and measures employed in similar evaluations. Conclusions Activities to prevent quality problems need to be incorporated in the guidelines for evaluation planning. Additionally, evaluators could benefit from guidance in evaluation planning related to the different set-ups of the evaluation teams.

scholarly journals Raking-ratio empirical process with auxiliary information learning

2020 ◽  
Vol 24 ◽  
pp. 435-453
Author(s):  
Mickael Albertus
Keyword(s):  
Asymptotic Behavior ◽  
Goodness Of Fit ◽  
Empirical Process ◽  
Information Source ◽  
Auxiliary Information ◽  
Computational Method ◽  
Empirical Measure ◽  
Ratio Method ◽  
Goodness Of Fit Test ◽  
Chi Square

The raking-ratio method is a statistical and computational method which adjusts the empirical measure to match the true probability of sets of a finite partition. The asymptotic behavior of the raking-ratio empirical process indexed by a class of functions is studied when the auxiliary information is given by estimates. These estimates are supposed to result from the learning of the probability of sets of partitions from another sample larger than the sample of the statistician, as in the case of two-stage sampling surveys. Under some metric entropy hypothesis and conditions on the size of the information source sample, the strong approximation of this process and in particular the weak convergence are established. Under these conditions, the asymptotic behavior of the new process is the same as the classical raking-ratio empirical process. Some possible statistical applications of these results are also given, like the strengthening of the Z-test and the chi-square goodness of fit test.

scholarly journals Weak approximations of Wright-Fisher equation

2021 ◽  
Vol 62 ◽  
pp. 23-26
Author(s):  
Gabrielė Mongirdaitė ◽  
Vigirdas Mackevičius
Keyword(s):  
Fisher Equation ◽  
Fisher Model ◽  
Weak Approximations

We construct weak approximations of the Wright-Fisher model and illustrate their accuracy by simulation examples.

scholarly journals The tail empirical process for long memory stochastic volatility models with leverage

2019 ◽  
Vol 13 (2) ◽  
pp. 3453-3484
Author(s):  
Clémonell Bilayi-Biakana ◽  
Gail Ivanoff ◽  
Rafał Kulik
Keyword(s):  
Stochastic Volatility ◽  
Long Memory ◽  
Empirical Process ◽  
Stochastic Volatility Models ◽  
Volatility Models ◽  
Tail Empirical Process
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