Πλοήγηση ανά Συγγραφέα "Perdikis, Theodoros D."
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Τεκμήριο Statistical monitoring of discrete and nonparametric statistics with exact run length properties(02/22/2022) Perdikis, Theodoros D.; Περδίκης, Θεόδωρος Δ.; Athens University of Economics and Business, Department of Statistics; Castagliola, Philippe; Maravelakis, Petros; Celano, Giovanni; Karagrigoriou, Alex; Tsiamyrtzis, Panagiotis; Yannacopoulos, Athanasios; Psarakis, SteliosThe current thesis is mainly focused on the design of Univariate nonparametric schemes for monitoring shifts in the process location or scale parameter. Enhanced and robust methodologies are provided which guarantee the chart's optimal and most important reliable statistical performance. In particular, first a short literature review is presented about existing parametric and nonparametric control charts. Additionally, two enhanced distribution-free control charts based on the Sign statistic are introduced, for monitoring shifts in the process location or scale parameter of interest. For each scheme, an extensive numerical analysis is conducted in order to provide to the reader a detailed presentation about each chart's statistical performance. Moreover, we introduce two distribution-free control charts based on the Wilxocon Signed Rank statistic and a simple methodology for thedetermination of the general distribution of the Wilxocon Signed Rank statistic is provided.Finally, for each proposed scheme, its statistical performance is examined and guidelines topractitioners are given regarding its optimal design. Finally, some concluding remarks anddiscussion for future work are stated.